International Cryogenics Monograph Series
|
|
- Paulina Hodges
- 5 years ago
- Views:
Transcription
1 International Cryogenics Monograph Series For further volumes:
2
3 Ben-Zion Maytal John M. Pfotenhauer Miniature Joule-Thomson Cryocooling Principles and Practice
4 Ben-Zion Maytal Missiles and NCW Division Rafael Advanced Defense Systems Ltd. Haifa, Israel John M. Pfotenhauer Department of Mechanical Engineering University of Wisconsin, Madison Wisconsin, USA ISBN ISBN (ebook) DOI / Springer New York Heidelberg Dordrecht London Library of Congress Control Number: # Springer Science+Business Media New York 2013 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (
5 to my wife Hana Ben-Zion Maytal to my wife Nadine John Pfotenhauer
6
7 Preface This book is the first in English, being entirely dedicated to the topic of Miniature Joule-Thomson Cryocooling. The sole previous book on the same subject, Throttle Type Microrefrigerators, was published in Russian in Moscow 35 years ago, by Suslov et al. Various books on the general topic of cryogenics and even those focused on cryocoolers include at most not more than a single chapter on Miniature Joule-Thomson cryocooling. The authors of this book have been motivated by the conviction that the subject deserves an updated, broader and deeper treatise. The five parts of the present book include nine chapters, arranged according to a detailed list of content, and an index. Part I, comprising Chap. 1, attempts to portray all cryocoolers from a common basis and focuses on the uniqueness of miniature Joule-Thomson cryocooling from this perspective. In fact, the common basis can aptly serve as a first and preliminary lesson whenever one introduces the subject of cryocoolers. Part II combines Chaps. 2, 3, and 4, to comprise the theoretical foundation of the subject. Chapter 2 focuses on the Joule-Thomson effect in both differential and integral forms, as well as the inversion of the same effect. Chapter 3 discusses the thermodynamic principles behind the Linde-Hampson liquefaction process. Chapter 4 identifies the real gas properties that are key parameters of candidate coolants for Joule-Thomson cryocooling. The deviation of real gas properties from the ideal gas model is an alternative expression of the Joule-Thomson effect that drives the Joule-Thomson cryocooling process. Part III includes Chaps. 5, 6, and 7 and deals with the practical and application aspects of the subject. Chapter 5 scans the variety of operating modes including continuous, staged, fast cooldown, and hybrid. Chapter 6 focuses strictly on details of construction and configuration. Chapter 7 deals thoroughly with aspects of the transient behavior during the cooldown of Joule-Thomson cryocoolers. However, cooldown is also discussed in Chap. 5 in the context of the fast cooldown mode of cryocooling. Parts II and III of the book correspond with the traditional process for pure gases. These sections address Joule-Thomson cryocooling in the manner used by Linde and Hampson, but focuses on the small-scale, miniature version operated in an open cycle and at elevated pressure. Part IV, which is Chap. 8, is entirely dedicated to the use of mixed coolants for Joule- Thomson cryocooling. Mixed coolants enable new possibilities that are not attainable with pure coolants. Chapter 8 highlights both the theoretical topics and the practical issues for this type of Joule-Thomson cryocooler, either with or without phase separators, and therefore it is bigger than the others. Part V, the ninth and last chapter, gathers various special topics of general significance and relevance that do not fit well under the headings of the first eight chapters, such as gas purity, choked flow rates of real gases, modeling of cryocoolers, cryosurgical devices, and warming via the Joule-Thomson effect. vii
8 viii Preface The field of cryocoolers as a branch of cryogenics is continuously growing and developing. Joule-Thomson cryocooling, defined by the Linde-Hampson process, has a special position within this group. It uniquely depends upon the real gas properties of the coolants, that is, their deviation from the ideal gas model. These aspects may attract not only people who are directly involved in miniature Joule-Thomson cryocooling but also those possessing a general interest in the disciplines of thermodynamics and cryogenics. A detailed list of references, chapter by chapter, provides a broad literature survey; it consists of more than 1,200 relevant articles in addition to more than 450 related patents. Patents expose a variety of ideas and practical engineering experience, and therefore frequently unfold important details of construction. Various topics are explored in a chronological perspective (such as the inversion of the Joule-Thomson effect, the integral inversion curve, mixed gas cryocooling, and flow regulating mechanisms). Haifa, Israel Wisconsin, USA Ben-Zion Maytal John M. Pfotenhauer
9 Contents Part 1 1 Cryocoolers: The Common Principle The Generalized Model of Cryocoolers The Interchanging Process The Conceptual Model of Cryocoolers The Essential Constituents The Elementary Cooling Mechanism The Interchanger The Coolant A Media that Undergoes a Thermodynamic Transition... 6 A Convective Fluid Ideal Gas Coolants Versus Real Gas Properties The Cooldown Process of Cryocoolers Comments... 6 DT IN IN Versus DT H... 6 Isothermal Absorption of Heat Load The Magnification Index of the Interchanger, I M Definition Hot Stream with Minimum Capacity Rate Cold Stream with Minimum Capacity Rate The Unified Expression Example The Ideal Case with e! 1 and DT! Implementation of Interchangers Recuperators and Regenerators DC and AC Cryocoolers Characteristics of Interchangers The Temperature Domain The Longitudinal Domain The Dimensionless Longitude, NTU The Curvature of the Temperature Profiles Dependence of I M on the Size of the Interchanger Formulation The Extreme Behavior The Case of Balanced Capacity Rates Remarks ix
10 x Contents Entropy Generation Formulation Ideal Gas Counter-Flow Heat Exchanger Cryocooolers Interchanging Process Optimization Under Finite Size Constraint Regenerative Versus Recuperative Interchanging Enhanced Interchanging A Preferred Condition Sub-optimum Interchanging The Most Common Factor Interchanging in Liquefiers Where _n L _n H Low Temperature Degradation Factors That Enhance Interchanging Precooling Split Flow Isentropic Expansion Serial Isentropic Expansion Hybrid Interchanging Real Cryocoolers in View of the Generalized Model From Siemens to Linde and Hampson The Elementary Cooling Mechanisms and Their Characteristics, dt(t) Continuous Isentropic Expansion Series of Isentropic Expansions with Work Extraction Series of Blow Down (Isentropic) Expansions The Joule-Thomson Expansion Valve The Injector Adiabatic Demagnetization Phase Separation of 3 He- 4 He Mixtures Mixing Two Separate Streams of 3 He and 4 He A Vortex Tube Thermoacoustic Expanders The Lowest Attainable Stable Temperature of Cryocooling Formulation Monotonically Decreasing dt An Increasing Value of dt The Minimum Value of dt When _C H > _C L Other Limits to the Lowest Attainable Temperature Thermal Losses The Second Law A Pinch Point The Shape of Cooldown Curves The Relationship Between I M and dt for Various Cryocoolers The Joule-Thomson Cryocooler with Pure Coolants (Except He and H 2 ) Joule-Thomson Cryocoolers with Mixed Coolants (discussed in Chap. 8) Joule-Thomson Cryocoolers of He and H Satellite Cryocoolers That Liquefy Helium (see also Sects and ) Stirling, Giffird-McMahon, Pulse Tube and Reverse Brayton Cryocoolers
11 Contents xi The Active Magnetic Regenerative Refrigerator (AMRR) The Dilution Refrigerator The Mixing Refrigerator A Non-viable Cryocooler Due to Inherently Poor Interchanging Special Examples of Interchangers Continuous Flow Interchanging Using Two Opposing Regenerators Combining a Periodic Expander with a Recuperative Interchanger Pulse Tube Expander Interchanged by a Recuperator Interchanger Combined with Convective Cooling A Gifford-McMahon (GM) or Stirling Cryocooler A Mixed Coolant Closed Cycle Joule-Thomson Cryocooler The Thermoelectric Elements Interchanging Mass Transfer Separation of Isotopes Counter Current Exchange: A Principle of Biology Refrigerator Versus Cryocooler Second Law Considerations Performance of Cryocoolers The Thermodynamic Presentation of Cryocoolers The Sites of Entropy Generation The Coefficient of Performance, COP The Figure of Merit, FOM The Real Gas Properties Group of Cryocoolers Description The First Law The Second Law The COP and FOM The Ideal Gas Group of Cryocoolers Description The COP and FOM The Lowest Attainable Temperature Defined by the Second Law The Finite Lowest Attainable Temperature A Comparison of Joule-Thomson with Other Coolers Introduction Characteristics Cryocooling Via a Boiling Bath of Cryogen High Heat Flux High Temperature Stability Cooling Large and Irregularly Shaped Objects Compact and Light Weight Cold Finger The Open Cycle Mode of Operation No Moving Parts in the Entire Cooling System Reliable Operation After a Long Storage Period No Heat Rejection at Ambient Temperature A System That Becomes More Compact as the Cooling Duration Shortens
12 xii Contents Rapid Cooldown: The Ultimate Advantage A Very Low Level of Vibrations at the Cold End Cryocooling of a Gimbaled Payload Ease of Integration Ease of Distributing the Cooling Power Closed Cycle Joule-Thomson Cryocoolers Drawbacks Requirement for High Purity Gas Inferior Thermodynamic Efficiency A Requirement of High Pressure for Open Cycle Operation A Higher Compression Ratio References Part II Theoretical Aspects 2 The Joule-Thomson Effect, Its Inversion and Other Expansions Introduction The Joule-Thomson Coefficient The Differential Coefficients The Single Phase Domain The Two Phase Domain of a Pure Substance The Integral Effect Derivatives Through the Equations of State In Terms of Volume Derivatives In Terms of Pressure Derivatives In Terms of Compressibility, Z In Terms of the Product Pv In Terms of the Residual Volume In Terms of Heat Capacities In Terms of the Virial Coefficients In Terms of the Intermolecular Forces The van der Waals Gas The Principle of Corresponding States The Zero Pressure Joule-Thomson Coefficient Speed of Sound and the Joule-Thomson Coefficient The Joule-Thomson Coefficient of Mixtures Miscellaneous Thermal Expansivity and the Joule-Thomson Coefficient Entropy and the Joule-Thomson Coefficient Minimum of the Isothermal Joule-Thomson Coefficients The Volumetric Joule-Thomson Coefficient The Joule-Thomson Effect and Magnetism Measurements of the Joule-Thomson Effect Experiments The Adiabatic Expansion The Isothermal Expansion Measurement of Compressibility The Integral Adiabatic Joule-Thomson Effect
13 Contents xiii Miscellaneous The Critical State Joule-Thomson Coefficient Joule-Thomson Effect of a Vapor Gas Mixture A Liquid-Liquid Phase Change The Joule-Thomson Effect of a Solid-Gas Aerosol Differential Inversion States Introduction Definition The Extended Inversion States On the Microscopic Level Basic Features of the Differential Inversion Curve in the (P, T) Plane The Inversion States and the Principle of Corresponding States Dependence on Acentricity Factor The Quantum Gases The Pseudo-Critical Parameters of the Quantum Gases Differential Inversion Curve Extension Below the Critical Temperature The Differential Inversion Curve (D.I.C.) in Various Coordinate Planes The P-h Plane The T-s Plane The h-s Plane Inversion States of Mixtures The Speed of Sound at the Inversion States The van der Waals Equation of State The (T, P) Plane The Density The Extended Saturation Line The Integral Joule-Thomson Effect The Quantity c P c V Equation of State Dependence The Differential Inversion States in the Plane of (v,t) The Compressibility Plane of Z(P) The Envelope of Isotherms in the (Z, P) Plane Intersections of Adjacent Isotherms in the (Z, P) Plane The Isotherms at Zero Pressure and Z=1Vicinity Boyle Temperature and the Maximum Inversion Temperature Z as a Function of the Inversion Pressure for a van der Waals Gas The Compressibility Plane of Z (Y) The Differential Inversion States Z as a Function of the Inversion Temperature The Intersection of the Inversion Curve with the Unit Compressibility Line Empirical Correlations for the Differential Inversion Curve The Correlation of Jacob and the Principle of Corresponding State The Generalized Correlations for Low Acentricity Gases
14 xiv Contents 2.6 The Integral Inversion States Formulation Characteristics of the Integral Inversion Curve (I.I.C.) The Principle of Corresponding States and the Quantum Gases The van der Waals Equation of State and the Integral Inversion Curve The Plane of (P,T) The Reduced Density Compressibility, Z The Relationship Between the Differential and Integral Inversion Curves The Differential Joule-Thomson Effect The Values of c P c V Chronological Notes on Inversion States Witkowski, 1898: The Discovery of the Differential Inversion States van der Waals and Olshewski, 1900: Focusing on Integral Inversion States Porter, 1906: Shifting the Attention to the Differential Inversion States The Differential Inversion Curve by the EOS Molecular Simulation of the Inversion States Miscellaneous Joule Expansion The Joule Coefficient by Pressure The Joule Coefficient by Volume The Inversion of the Joule s Effect Isentropic Expansion The Coefficient of Isentropic Expansion The Real and the Ideal Gas In Terms of the Thermal Expansivity In Terms of Heat Capacities In Terms of the Speed of Sound Derivatives Through the Equations of State For the van der Waals Gas The Isentropic Expansion Coefficient by Density The Relationship Between the Isentropic and Isenthalpic Expansion The Relationship Between m s and m The Role of the Differential Inversion Curve The Integral Effect The Isentropic Expansion and Cryocoolers Preserving the Stagnation Enthalpy of Flow References The Linde-Hampson Cryocooling Process General Perspective The Fundamental Elements of the Linde-Hampson Cycle Throttling Recuperation Sub-critical Expanded Pressure A Supply Pressure that Is Above the Critical Point A Phase Transition
15 Contents xv Classification by Flow Rate Balance The Cooler The Liquefier The Satellite Cooler Remarks Classification by Phase Transition Vapor Liquid Phase Transition Vapor Solid Phase Transition Normal (He-I) to Superfluid Helium (He-II) Transition Closely Related Recuperative Cycles Ejector The Cold Air Cycle Combining the Use of a Recuperator with the Extraction of External Work The Reverse Brayton Cycle The Claude Cycle The Superfluid Joule Thomson Refrigerator The Ideal Linde-Hampson Cryocooling Cycle The P-h Plane The High Pressure Isobar The Isenthalpic Expansion Isothermal Phase Change The Low Pressure Isobar Isothermal Compression The Cool Down Temperature, T CD Remarks The h-t Plane The T-s Plane The Maximum Specific Cooling Capacity Real Linde-Hampson Cooler Cycles Introduction The Temperature Difference at the Warm End of the Recuperator, DT Operation with Excess Flow Rate as a Source of DT The Largest DT The Dependence of DT on the Amount of Flow Excess, Dh T _Q = _n Recuperator s Lack of Thermal Conductance as a Source of DT The Extent of Recuperation Definition The Nominal Extent of Recuperation Under and Over Recuperated Cycles The Extent of Recuperation (dh) and the Magnification Index (I M ) Cycles Of Nominal Recuperation Performance of Nominal Recuperators Introduction The Effectiveness, e Definition The Degraded Specific Cooling Power The Minimum Effectiveness, e MIN The Relationship Between DT and e... 87
16 xvi Contents The Efficiency, The Definition of Efficiency The Relationship Between and e Relationship Between and DT The Linde-Hampson Liquefier Cycles The Ideal Cycle of the Liquefier Liquefiers with Nominal Recuperation The Misbalance of Flow Rates The Yield of Liquefaction The Span of Specific Enthalpies The Real Cycle of the Liquefier Sizing of Nominal Recuperators Size Versus Performance Lack of NTU as a Source of Ineffectiveness Excess Flow Operation as a Source of Ineffectiveness The Average Ratio of Capacity Rates Minimum Number of Heat Transfer Units, NTU MIN Flow Rate Dependence of Recuperator s Size Size Versus Duty Scaling a Recuperators Size Yield of Liquefaction The Cryocooler The Ideal Operation Operation with Excess Flow The Liquefier The Ideal Liquefier Versus Cryocooler The Finite Size Recuperator The Splitting Ratio, SP Sizing a Liquefier s Recuperator Maximizing Production Rates The Highest Specific Cooling Rate, _Q = _n, Versus the Highest Cooling Rate, _Q Cryocoolers with Fixed Recuperating Area Cryocoolers with Fixed Flow Rate Liquefiers with Fixed Recuperating Area Nozzle Inlet Temperature Temperature Differences Between the Recuperating Streams The Coolers The Ideal Cooler Cryocoolers Operating with Excess Flow as a Function of NTU for Nominal Cryocoolers The Liquefier Dependence on Specific Heat Capacities The Operating Line The Cooler The Liquefier Helium and Hydrogen JT Cryocooling Longitudinal Temperature Distribution The Mechanisms of Throttling Introduction The Laminar Regime
17 Contents xvii The Turbulent Regime Shock Waves Second Law of Thermodynamics Considerations Coefficient of Performance, COP Formulation The Dependence of COP on the Inlet Pressure The Pressure of the Optimum COP Remarks of Consistency The Global Optimum of COP; the Cold Air Cycle The Cost of Refrigeration Figure of Merit, FOM Availability Analysis References Thermodynamic Characterization of Coolants Introduction Temperatures of Phase Transition Liquefaction Solidification The Integral Isothermal Joule-Thomson Effect, Dh T Residual Enthalpy, h R, and Dh T Pressure Dependence of Dh T Examples of the Pressure Dependence of Dh T The Super Critical Temperature Range, T>T C Dh T in the Low Pressure Range The Pressure Dependence of Dh T for the Quantum Gases The Sub Critical Temperature Range, T<T C Deriving Dh T by the Equations of State General Expressions The Van der Waals Equation of State The Peng-Robinson Equation of State The Virial Equation of State Expended by Pressure The Virial Equation of State Expended by Density The Critical State, Dh T (T C ; P C ) Temperature Dependence of Dh T The Role of the Residual Specific Heat Capacity, c R P Helium and Hydrogen Expansion into the Two Phase Zone Temperature Dependence of Dh MAX T The Low Temperature Range, 1:2 < Q < The Entire Inversion Curve Range, T>T C The Sub Critical Temperature Range, T<_T C The Dh MAX T (T C ) Mapping the Integral Effect, Dh T The Absolute Mapping The Relative Mapping The Space of Coolants: Normal Boiling Point Dependence of Dh MAX T (T) Temperature Dependence of Dh T at a Constant Specific Density Process
18 xviii Contents 4.4 Cooldown Temperature, T CD Definition Pressure Dependence of T CD Evaluation of TCD MAX Formulation The Space of Gases The Smallest Cooldown Range, DTCD MIN The Integral Isenthalpic Joule-Thomson Effect, DT h Introduction Definition The Two Domains of DT h The Domain of T > T CD (P) The Domain of T < T CD (P) The Driving Potential of the Cooling Process, DT h Examples of Various Gases and States Chronological Note DT h in the Domain of T >_ T CD (P) The Relationship Between DT h and Dh T Remarks Demonstrating the Relationship Between DT h and Dh T DT h in the Domain of T<T CD (P) The Dependence of DT h on Molecular Structure, T>T CD (P) Different DT h for Identical Dh T Gases with Similar Values of T C But with Different Molecular Structures Remarks The State Dependent DT h Variation, T > T CD (P) Pressure Dependence Temperature Dependence State Derivatives of DT h and m Mapping of DT h The Highest Attainable DT h, the DT h (MAX) A Given Gas The Space of Gases Evaluation of DT h (P; P OUT ) Through the Equation of State DT h for Mixtures Evaluating a Mixture s Dh T and c PO Mixing of Components DT h Values Direct Blow Down Yield of Liquefaction Compressibility of Coolants The Cooling Potential of a Pressure Vessel The Isothermal Discharge of a Pressure Vessel The Cooling Capacity Per Unit Volume of the Vessel The Loss of Cooling Potential Due to Void Volume The Cooling Capacity Per Unit Weight of the Vessel The Isothermal Discharge Pattern The Adiabatic Discharge of a Pressure Vessel
19 Contents xix 4.9 Monatomic and Other Coolants: Closing Remarks Characteristics of the Monatomic Gas Family Particular Identity of Each Noble Gas Helium Neon Argon Krypton Xenon Other Gases Nitrogen Oxygen Air R Methane Nitrous Oxide Carbon Dioxide Hydrogen The Role of the Differential Inversion Curve The Quantum Gases: 3 He, 4 He, H 2,D 2 andne References Part III Practical Aspects 5 Principal Modes of Operation Introduction Pressurizing Alternatives The Open System The Layout The Pressure Source The Closed Cycle Configuration The Potential Advantages Two Versions The Pressure Generator The Mechanical Compressor The Sorption Compressor The Electrochemical Compressors The Open Cycle Continuous Operation Cryocoolers Introduction Characteristics Pressurization A Highly Evacuated Dewar A Long Heat Exchanger Small Heat Capacity Cooldown Periods Coolants High Purity Gases Flow Regulation by Adjusting the Throttle Size Performance Criteria Operating Conditions The Ideal Run Actual Gas Consumption
20 xx Contents Argon Versus Nitrogen Flow Rates Temperature Stability Temperature of Operation Precooling Technology of Heat Exchangers The Cut Off Pressure Constant Flow Rate Discharge The Cooling Capacity The Optimal Regulated Pressure Comparison with Non-regulated Discharge The Cooldown Periodic Flow Rate and a Thermal Storage Device Multi-stage Cryocoolers Introduction Chronological Note The Regions of Precooling Categories of Staging Joule-Thomson Cryocoolers T PRE < T AMB < T INV ; Operational Benefits T PRE < T INV < T AMB ; Reaching Lower Temperatures T PRE < T CD < T AMB ; No Recuperator at the Final Stage Remarks Steady State Analysis The Schematic Layout The Energy Balance Comments COP Considerations of Staging The Serial and Parallel Staging Configurations of Closed Cycle Cryocoolers The Serial Configuration with Stages Having the Same FOM The Serial Configuration with Stages of the Same Relative Entropy Generation, ð_s T H = _Q L Þ i The Influence of the Number of Stages in the Serial Configuration Staging of Closed Cycle Joule-Thomson Cryocoolers Staged Cooling of a Stream Miscellaneous Reduction of System Weight and Volume Liquefaction of Quantum Gases: 3 He, 4 He, H 2,D 2 andne Candidate Precoolants Example Cryocoolers Miniature Laboratory Liquefiers Free Jet Release Motivation The Model Common Inlet Conditions for Both Stages The General Case Cold End Benefits Reducing the Size of the Cold End Reducing Back Pressure Modularity Staging by Pressure with Double Expansion: The Ball Aerospace Joule-Thomson Cryocooler
21 Contents xxi 5.5 Fast Cooldown Cryocooling Introduction Characteristics Cooldown A short run time A small pressure vessel High flow rates Non evacuated encapsulation Constant area orifice Short heat exchanger The cutoff pressure Integrated assembly Clogging Temperature of operation System level considerations Coolants: Argon Versus Nitrogen and Their Mixtures Passive Techniques Materials The Recuperator Non-evacuated Encapsulation Thermal Interface to Payload Active Techniques Higher Flow Rates Incorporating an Additional Higher Boiling Point Coolant Precoolants Direct Precooling of Payload; Sequential Precooling Indirect Precooling of a Payload Simon s Cooling Effect System Approach Optimized Cryocoolers Fixed Length Cryocoolers Special Examples Staged, Porous and Flow Regulated Fast Cryocooler Staged Wire Screen Compact Heat Exchanger Photolithographic Precooled Fast Cooler Fast Cooldown System with High Shock Resistance The Inverse Cryocooler A Single Non-recuperative Expansion Thermal Isolation Between the Cooler and Its Encapsulation Faster Cooldown of the Cold Shield of an Infrared Detector Xenon or Krypton in a Non-evacuated Encapsulation Hybrid Joule-Thomson Cryocoolers Introduction Thermoelectric Precooling Gifford-McMahon (GM) and Joule-Thomson (JT) Hybrids The Combined Helium Cycle of GM and JT Cryocoolers Miscellaneous The Stirling and Joule-Thomson Hybrids The Final Joule-Thomson Helium Stage Enhancements
22 xxii Contents An Ejector Expander for the Final Joule-Thomson Stage Cooling with 3 He Serial Double Throttling Special Examples of Hybrid Cryocoolers Subcritical (P U < P C ) Methane JT Cycle Precooled by a Stirling Cooler A JT Cryocooler with an Additional Ejector Supplying a DC Flow to a JT Cooler by Rectifying an Oscillating Flow A Brayton-JT Hybrid Cryocooler A Sequence of an Open Cycle JT Cooler and an Expander Precooling Helium Sorption Compressor Stage A Radiant Refrigeration Stage References Construction and Configuration Joule-Thomson Expansion Valves The Model of a Joule-Thomson Valve Shock and Expansion Waves: The Ultimate Throttling Mechanism The Choked (Molar) Mass Flux Ideal Gas Real Gases Subsonic Expansion The Passageway Area of a Joule-Thomson Valve Remarks The Short Duct: The Highest Mass Flux The Circular Long Duct: The Capillary Tube Adiabatic Compressible Flow with Turbulent Friction Practical Examples The Open Tube Cryocooler The Long Duct with Laminar Friction Porous Media Valve The Vortex Throttle The Annular Duct A Cylindrical Insert A Conical Annular Valve Flow Adjustment Introduction Classification Characteristics of Flow Adjustment Sensing the Heat Load and Temperature Flow Regulators for Rapid Cooldown Cryocoolers Charged Bellows Flow Regulator Cold End Bellows Warm End Bellows Principle of Operation The Balance of Forces on the Bellows Two Phase Versus Single Phase Bellows Content Solid Thermal Expansion Flow Regulators
23 Contents xxiii Classification Metal Expanding Elements Plastic and Other Non-metallic Expanding Elements Operation of a Plastic Expander Versus a Charged Belows Regulator Bimetal Flow Regulators Dual Joule-Thomson Valve Temperature Dependent Shape Memory Alloys Active Feedback (Servo) Systems Description Motivation A Bang Bang Pressure Supply Piezoelectric Actuation Shape Memory Alloy Based Transducer A Reactive-Thermo Elastic Transducer Miscellaneous Flow Adjustment of Different Coolants A Self-Adjusting Effect for a Porous Plug Flow Regulation Induced by Pressure of the Vessel A Floating Needle in a Needle Valve Flow Regulation by Liquid Solid Transition A Manually Adjustable Flow Regulator A Mechanism to Squeeze the Tube The Pressure Dependence of Flow Rates Heat Exchangers Introduction Classification Parameters of Construction Finned Tube Heat Exchangers Finned High-Pressure Tube Pressure Tubes Fins Coating Active Fin Configuration of Finned Tube Heat Exchanger Cylindrical Shape A Stepped Shape Heat Exchanger A Conical Shaped Heat Exchanger Flat Shape Heat Exchanger Pressure Tube Arrangement: The Single Stage Single Layer, Double Thread Multi-Layering for High Flow Multi-Layer Short Cryocooler Multi-Layer Effectiveness Pressure Tube Arrangements for Two Stages Heat Leaks and Stiffness Matrix Heat Exchangers Introduction Wire Mesh Matrix Porous Sintered Matrix Perforated Plate Heat Exchanger Parkinson s Heat Exchanger
24 xxiv Contents Linde Type Heat Exchanger The Tube in Tube Heat Exchanger The Parallel Wrapped Tube Type Heat Exchanger Narrow Channel Heat Exchangers in Diffusion Bonded Metal Plates Hampson s Versus Linde s Heat Exchangers Hampson s: Strongly Coupled with Its Dewar Linde s: More Readily Adaptable for Hybrid Precooling Linde s: Potentially Provides a Lower Heat Leak Hampson s: Enables a Simpler Flow Adjustment Hampson s: Potentially More Compact Mems Cryocoolers New Emerging Opportunities Size Reduction, in Terms of Length and Volume Cooling Capacity Below 20 mw Flat and Rectangular Shape Advantages for Integrating Cost Reduction Fixed Orifice Glass Versus Silicon Superconducting Electronics: Stanford University, CA, USA William Little Single Stage Narrow Channel Devices Multi-Staging Common Layer Strategy Separate Layers for Each Stage Missile Application: Segmented and Isolated Silicon Layers Space Applications: Twente University, The Netherlands Concentric Glass Tube Heat Exchanger Silicon Wafer Heat Exchanger for Two Phase Streams ðp U <P C Þ Optimized Wide Channels On Chip Cooling of Terahertz Sensor: NIST/CU Program The System The Cryocooler The Compressor Miscellaneous Micro-Size Heat Pipes A Cryosurgical Probe A Radio-Frequency Coil Accessories and Special Arrangements Filtration A Filter at the Warm End A Filter at the Cold End Enhancing the Cooling Effect of a Cryogen Bath Liquid Absorbent Materials Fluid Deflection Using a Skirt Controlling the Outlet Pressure An Ejector Active Servo Control of the Expanded Pressure An Absolute Pressure Controller Collecting the Outgoing Gas
25 Contents xxv Matching a Cooled Object s Shape Cooling a Rectangle Cooling an Annular Payload Miscellaneous References Transient Behavior Introduction Regimes of Transient Behavior The Heat Load The External Heat Load The Latent Internal Heat Load Changes of Heat Load The Cooldown Process The Surplus of Cold Production De-stablizing Effects Continuous Accumulation of Liquefied Coolant Temperature Decrease at the Inlet to the Nozzle Passive Stabilizing Effects Elevation of Heat Leak Suppression of the Cooling Capacity Active Stabilizion: Reducing Excess Flow Bang-Bang Control Warming Characteristic Cooldown Behavior of the Cooled Object The Expanded Stream The Cooled Object Miscellaneous The Cooldown Behavior of a Flow Demand Cryocooler Termination of Cooldown Cooldown Behavior at Various Locations Along the Cryocooler Correlations and Similarity of Cooldown Periods Empirical Correlations The Semi Analytical Similarity Model for Rapid Cooldown Cryocoolers The Pressure Dependence for the Cooldown Period of a Given Cryocooler Formulation Similarity Results Approximate Similarity Relations Cooldown Tendency of Gases, TND The Integral Model for the Cooldown Periods Cooldown Flow Rates The Effective Heat Capacity of a Cryocooler The Average Cooling Power During Cooldown Energy Balance During Cooldown Gas Consumption for Cooldown Classifications of Rapid Cooldown Cryocoolers Optimized Cryocoolers
26 xxvi Contents Cryocoolers with a Common Efficiency and Backpressure Comparison of Cryocooler Classifications References Part IV 8 Mixed Coolant Cryocooling Introduction Classification of Mixed Refrigerant Joule-Thomson Cryocoolers The Linde-Hampson Mixed Coolant Closed Cycle Cryocooler The Auto-Cascade Closed Cycle Cryocooler The Linde-Hampson Mixed Coolant Open Cycle The Synergy of Mixed Coolants Miscellaneous Chronological Notes Interchanging with Mixed Coolants The Mixed Coolant Linde-Hampson Cycle Chronological Perspective Description of the Mixed Coolant Cycle Characteristic Features Low Pressure of Operation Suppressed Boiling Point of the Mixed Coolant Balanced Recuperation Reduced Entropy Generation The Temperature at the Entrance to the Nozzle Possible Non-choked Flow Through the Throttle Increased Thermodynamic Efficiency The Distribution of Exergy Losses A Larger Heat Transfer Area Mixed Coolant Linde-Hampson Cryocoolers Introduction Oil Free, Two-Stage and Single Stage Compression Lubricated, Single-Stage Compression Precooled Mixed-Coolant Closed Cycles Advantages Enhanced Oil Removal Eliminating the Use of an Absorbent Eliminating Higher Boiling-Point Components Precooling with a Closed Cycle Vapor Compression System Thermoelectric Precooling of a Microcryocooler Reducing the Size of the Cold End of a Two Stage Cryosurgical Probe Mixed Coolant Closed Cycle for Precooling Pure Coolants Scope Nitrogen Oxygen Quantum Gases
27 Contents xxvii Vapor-Liquid Cycle of Higher Boiling Point Gases Nitrogen in an Open Cycle Precooling a Natural Gas Liquefier Accelerated Cool-Down Cryocoolers Enlarged Orifice at Cool-Down Mixtures with Helium and a Fixed Orifice Porous Plug Throttle Pressure Vessel Assistance The Heat Exchanger Miscellaneous Single or Double Phase Charged Refrigerant Cryocooling Temperatures Centrifugal Compressor Recuperation by Regenerators Thermal Ballast Integral Closed Cycle Cryocooler Flammable Versus Nonflammable Coolant Cryocoolers Sorption Compression for a Multi Component Gas Thermodynamic Performance of the Mixed Coolant Cycle Temperature of Operation The Temperature in the Evaporator and the Operating Line The Boiling Point Versus the Pinch Point Temperature Equivalent Specific Heat Capacities and the Pinch Point Occurrence The Cooling Capacity The Limiting Cooling Capacity, Dh T (T IN ) The Actual Cooling Capacity, Dh MIN T Operation with Excess Flow Rate Examples The Mixture of 0.40N 2, 0.30 C 2 H 6, 0.30 C 3 H The Binary Mixtures of N 2 with 20% and 40% of C 3 H Aspects of Mixed Coolant Composition The Dh T of Components and of Their Mixture The Dh T of Pure Gases at Subcritical Pressure The Linear Superposition of Enthalpies Functional Groups of Components Reducing the Operating Pressure of the Mixture Components for Suppressing a Mixture s Boiling Point Bridging Components Quantum Gases Miscellaneous Clog Free Operation and Solid Liquid-Vapor Phase Equilibria Introduction Mixtures of Soluble Additives Eutectic Composition of Insoluble Additives Additives of Transitive Solubility
28 xxviii Contents A Conservative Approach Miscellaneous Lubricants for Compressors Propane Aspects of Liquid Vapor Phase Equilibrium Condensation Inside the Compressor Condensation at Ambient Temperature The Temperature Inside the Evaporator: Miscible Additives The Temperature Inside the Evaporator: Partially Miscible Additives Miscellaneous Reported Mixtures Species and Concentration Primary Components Hydrocarbons Flammability Retardant for Hydrocarbons Halogenated Derivatives of Hydrocarbons Fluoro-Ethers Inert Gas Additives Ozone Depleting Additives Oxygen Quantum Gases Miscellaneous Optimized Mixtures The COP of a Closed Cycle Cryocooler The COP of a Precooled Cryocooler The COP for a Distributed Load Cycle Compactness of the Cold End Cooldown Aspects of Closed Cycle Operation Closed-Loop Parameters The Amount of Coolant and the Volume of the Loop The Relationship Between the Up and Down-Stream Pressures The Compressor The Displacement The Rate of Volumetric Displacement The Rate of (Molar) Mass Displacement The Volumetric Efficiency The Specific Cooling Capacity of the Coolant The Liquefied Amount, n LIQ Simplified Analysis Assumptions The Compression Ratio Mass Conservation The Absolute Values of the Pressures The Distribution Ratios of a Coolant s Mass and Pressure The Circulating Flow Rate Cooling Power
29 Contents xxix Warming Capability The Hydrodynamic Time Constant of the Closed Cycle The Hydrodynamic Behavior During Cooldown of a Closed Cycle The Self-Regulating Effect of a Substantial Liquefied Fraction Description of the Self-Regulating Effect Pure Coolant Closed Cycle The Mechanism of Self-Regulation: Adjustment of DP Cooldown Versus Steady State Cooling Capacity The Self-Regulating Response to Heat Load Variation Mixed Coolant Closed Cycle The Mechanism of Self-Regulation: Adjustment of the Composition Cooling Power at Steady State Versus Cooldown The Change of Composition During Cooldown Additional Closed Cycle Cryocoolers Compressor Output Regulation Composition Changes During Cooldown The Influence of the Orifice Operating Parameters Versus Heat Load Inlet and Outlet Temperatures of a Capillary Tube Throttle The Influence of the Charging Pressure Miscellaneous Kleemenko s Cycle and Coolers Introduction Chronological Notes Description Fuderer and Missimer Cryocoolers and Coolant Compositions Missimer s Multi-throttling Cryocoolers The Enhanced Phase Separation Reaching Low Temperatures Kleemenko Cycle Versus the Linde-Hampson Cycle with Mixed Coolants The Thermodynamic Efficiency Temperature Stability Flexibility to Include Higher Boiling and Melting Point Components Capability to Support Distributed Load Construction and Operation Closed Cycle Applications Comparison of Closed Cycle Mixed Coolant Joule-Thomson Coolers with Closed Cycle Stirling Coolers Very Low Level of Vibrations at the Cold End Large Separation Between the Compressor and the Cold End Flexible Connection Between the Cold End and the Compression Unit
2.3.2 Miscellaneous The Critical State Joule-Thomson Coefficient Joule-Thomson Effect of a Vapor Gas Mixture...
Contents Part 1 1 Cryocoolers: The Common Principle... 3 1.1 The Generalized Model of Cryocoolers... 4 1.1.1 The Interchanging Process..... 4 1.1.2 The Conceptual Model of Cryocoolers...... 5 1.1.2.1 The
More informationSteven W. Van Sciver. Helium Cryogenics. Second Edition. 4) Springer
Steven W. Van Sciver Helium Cryogenics Second Edition 4) Springer Contents 1 Cryogenic Principles and Applications 1 1.1 Temperature Scale 2 1.2 Historical Background 4 1.3 Applications for Cryogenics
More informationPreface Acknowledgments Nomenclature
CONTENTS Preface Acknowledgments Nomenclature page xv xvii xix 1 BASIC CONCEPTS 1 1.1 Overview 1 1.2 Thermodynamic Systems 3 1.3 States and Properties 4 1.3.1 State of a System 4 1.3.2 Measurable and Derived
More informationChemical Engineering Thermodynamics
Chemical Engineering Thermodynamics P Liquid P x 1 sat P 1 T sat T 2 T x 1 T x 1 T y 1 Liquid Vapour sat P 2 P x 1 P y 1 P y 1 Vapour sat T 1 x, y 1 1 x, y 1 1 Pradeep Ahuja Contents CHEMICAL ENGINEERING
More informationSpringerBriefs in Statistics
SpringerBriefs in Statistics For further volumes: http://www.springer.com/series/8921 Jeff Grover Strategic Economic Decision-Making Using Bayesian Belief Networks to Solve Complex Problems Jeff Grover
More informationFundamentals of Mass Determination
Fundamentals of Mass Determination Michael Borys Roman Schwartz Arthur Reichmuth Roland Nater Fundamentals of Mass Determination 123 Michael Borys Fachlabor 1.41 Physikalisch-Technische Bundesanstalt Bundesallee
More informationChapter 1 Introduction and Basic Concepts
Chapter 1 Introduction and Basic Concepts 1-1 Thermodynamics and Energy Application Areas of Thermodynamics 1-2 Importance of Dimensions and Units Some SI and English Units Dimensional Homogeneity Unity
More informationThiS is a FM Blank Page
Acid-Base Diagrams ThiS is a FM Blank Page Heike Kahlert Fritz Scholz Acid-Base Diagrams Heike Kahlert Fritz Scholz Institute of Biochemistry University of Greifswald Greifswald Germany English edition
More informationPublication of the Museum of Nature South Tyrol Nr. 11
Publication of the Museum of Nature South Tyrol Nr. 11 ThiS is a FM Blank Page Erika Pignatti Sandro Pignatti Plant Life of the Dolomites Vegetation Tables Erika Pignatti Sandro Pignatti Rome Italy Publication
More informationCM 3230 Thermodynamics, Fall 2016 Lecture 16
CM 3230 Thermodynamics, Fall 2016 Lecture 16 1. Joule-Thomsom Expansion - For a substance flowing adiabatically through a throttle (valve or pourous plug): in > out and negligible change in kinetic and
More informationPhysics Nov Cooling by Expansion
Physics 301 19-Nov-2004 25-1 Cooling by Expansion Now we re going to change the subject and consider the techniques used to get really cold temperatures. Of course, the best way to learn about these techniques
More informationCryocoolers (CryoCoolers.tex)
Cryocoolers (CryoCoolers.tex) A.T.A.M. de Waele Eindhoven University of Technology September 4, 2009 Abstract This document describes the main features of cryocoolers in general and pulse-tube refrigerator
More informationStatics and Mechanics of Structures
Statics and Mechanics of Structures Steen Krenk Jan Høgsberg Statics and Mechanics of Structures Prof. Steen Krenk Department of Mechanical Engineering Technical University of Denmark Kongens Lyngby,
More informationLatif M. Jiji. Heat Convection. With 206 Figures and 16 Tables
Heat Convection Latif M. Jiji Heat Convection With 206 Figures and 16 Tables Prof. Latif M. Jiji City University of New York School of Engineering Dept. of Mechanical Engineering Convent Avenue at 138th
More informationModification In Charging Composition In Order To Arrive At Desired Circulation Composition In The Context Of Sorption Compressor Based J-T Cooler
Modification In Charging Composition In Order To Arrive At Desired Circulation Composition In The Context Of Sorption Compressor Based J-T Cooler R. N. Mehta, S. L. Bapat, M. D. Atrey Department of Mechanical
More informationC ONTENTS CHAPTER TWO HEAT CONDUCTION EQUATION 61 CHAPTER ONE BASICS OF HEAT TRANSFER 1 CHAPTER THREE STEADY HEAT CONDUCTION 127
C ONTENTS Preface xviii Nomenclature xxvi CHAPTER ONE BASICS OF HEAT TRANSFER 1 1-1 Thermodynamics and Heat Transfer 2 Application Areas of Heat Transfer 3 Historical Background 3 1-2 Engineering Heat
More informationQing-Hua Qin. Advanced Mechanics of Piezoelectricity
Qing-Hua Qin Advanced Mechanics of Piezoelectricity Qing-Hua Qin Advanced Mechanics of Piezoelectricity With 77 figures Author Prof. Qing-Hua Qin Research School of Engineering Australian National University
More informationStatistics and Measurement Concepts with OpenStat
Statistics and Measurement Concepts with OpenStat William Miller Statistics and Measurement Concepts with OpenStat William Miller Urbandale, Iowa USA ISBN 978-1-4614-5742-8 ISBN 978-1-4614-5743-5 (ebook)
More informationDynamics and Control of Lorentz-Augmented Spacecraft Relative Motion
Dynamics and Control of Lorentz-Augmented Spacecraft Relative Motion Ye Yan Xu Huang Yueneng Yang Dynamics and Control of Lorentz-Augmented Spacecraft Relative Motion 123 Ye Yan College of Aerospace Science
More informationII/IV B.Tech (Regular) DEGREE EXAMINATION. (1X12 = 12 Marks) Answer ONE question from each unit.
Page 1 of 8 Hall Ticket Number: 14CH 404 II/IV B.Tech (Regular) DEGREE EXAMINATION June, 2016 Chemical Engineering Fourth Semester Engineering Thermodynamics Time: Three Hours Maximum : 60 Marks Answer
More information1000 Solved Problems in Classical Physics
1000 Solved Problems in Classical Physics Ahmad A. Kamal 1000 Solved Problems in Classical Physics An Exercise Book 123 Dr. Ahmad A. Kamal Silversprings Lane 425 75094 Murphy Texas USA anwarakamal@yahoo.com
More informationLecture 12. Refrigerators. Toward Absolute Zero (Ch. 4)
0 9 0 7 Center of hottest stars Center of Sun, nuclear reactions Lecture. Refrigerators. oward Absolute Zero (Ch. ) emperature, K 0 5 0 0 0-0 - 0-5 Electronic/chemical energy Surface of Sun, hottest boiling
More informationAhsan Habib Khandoker Chandan Karmakar Michael Brennan Andreas Voss Marimuthu Palaniswami. Poincaré Plot Methods for Heart Rate Variability Analysis
Ahsan Habib Khandoker Chandan Karmakar Michael Brennan Andreas Voss Marimuthu Palaniswami Poincaré Plot Methods for Heart Rate Variability Analysis Poincaré Plot Methods for Heart Rate Variability Analysis
More informationIgor Emri Arkady Voloshin. Statics. Learning from Engineering Examples
Statics Igor Emri Arkady Voloshin Statics Learning from Engineering Examples Igor Emri University of Ljubljana Ljubljana, Slovenia Arkady Voloshin Lehigh University Bethlehem, PA, USA ISBN 978-1-4939-2100-3
More informationEgon Krause. Fluid Mechanics
Egon Krause Fluid Mechanics Egon Krause Fluid Mechanics With Problems and Solutions, and an Aerodynamic Laboratory With 607 Figures Prof. Dr. Egon Krause RWTH Aachen Aerodynamisches Institut Wüllnerstr.5-7
More informationThermoacoustic Expansion Valve: A New Type of Expander to Enhance Performance of Recuperative Cryocooler Systems
Thermoacoustic Expansion Valve: A New Type of Expander to Enhance Performance of Recuperative Cryocooler Systems Zhimin Hu CryoWave Advanced Technology, Inc. Pawtucket, Rhode Island 02860 ABSTRACT The
More informationPerformance analysis of a miniature Joule Thomson cryocooler with and without the distributed J T effect
IOP Conference Series: Materials Science and Engineering PAPER OPEN ACCESS Performance analysis of a miniature Joule Thomson cryocooler with and without the distributed J T effect To cite this article:
More informationQuantum Biological Information Theory
Quantum Biological Information Theory Ivan B. Djordjevic Quantum Biological Information Theory Ivan B. Djordjevic Department of Electrical and Computer Engineering University of Arizona Tucson, AZ, USA
More informationCEA Saclay Seminar. Cryogenic Research for HTS Transmission Cables in Korea
CEA Saclay Seminar Cryogenic Research for HTS Transmission Cables in Korea Overview 10 min 10 kw Brayton Refrigerator 10 min He-LN 2 Heat Exchanger 15 min Cryogenic Design for Future 15 min April 22, 2016
More informationExperimental Investigation of Hybrid System Pulse Tube and Active Magnetic Regenerator
Experimental Investigation of Hybrid System Pulse Tube and Active Magnetic Regenerator D. Kwon, I. Park, S. Jeong Cryogenic Engineering Laboratory, Mechanical Engineering Dept., School of Mechanical and
More informationfirst law of ThermodyNamics
first law of ThermodyNamics First law of thermodynamics - Principle of conservation of energy - Energy can be neither created nor destroyed Basic statement When any closed system is taken through a cycle,
More informationEarlier Lecture. Basics of Refrigeration/Liquefaction, coefficient of performance and importance of Carnot COP.
9 1 Earlier Lecture Basics o Rerigeration/Liqueaction, coeicient o perormance and importance o Carnot COP. Throttling, heat exchanger, compression/expansion systems. Deinition o a rerigerator, liqueier
More informationSemantics of the Probabilistic Typed Lambda Calculus
Semantics of the Probabilistic Typed Lambda Calculus Dirk Draheim Semantics of the Probabilistic Typed Lambda Calculus Markov Chain Semantics, Termination Behavior, and Denotational Semantics Dirk Draheim
More informationContents. Preface... xvii
Contents Preface... xvii CHAPTER 1 Idealized Flow Machines...1 1.1 Conservation Equations... 1 1.1.1 Conservation of mass... 2 1.1.2 Conservation of momentum... 3 1.1.3 Conservation of energy... 3 1.2
More informationLeszek Konieczny Irena Roterman-Konieczna Paweł Spólnik. Systems Biology. Functional Strategies of Living Organisms
Systems Biology Leszek Konieczny Irena Roterman-Konieczna Paweł Spólnik Systems Biology Functional Strategies of Living Organisms 2123 Leszek Konieczny Department of Medicinal Chemistry Jagiellonian University
More informationSpringer Atmospheric Sciences
Springer Atmospheric Sciences More information about this series at http://www.springer.com/series/10176 Ewa Łupikasza The Climatology of Air- Mass and Frontal Extreme Precipitation Study of meteorological
More informationEarlier Topics. Introduction to Cryogenic Engineering An introductory knowledge of Cryogenic Engineering.
8 1 Earlier Topics Introduction to Cryogenic Engineering An introductory knowledge of Cryogenic Engineering. Properties of Cryogenic Fluids Properties of Cryogens, T s diagram, Hydrogen, Helium. Properties
More informationThermal Design. Heat Sinks, Thermoelectrics, Heat Pipes, Compact Heat Exchangers, and Solar Cells. HoSung Lee JOHN WILEY & SONS, INC.
Thermal Design Thermal Design Heat Sinks, Thermoelectrics, Heat Pipes, Compact Heat Exchangers, and Solar Cells HoSung Lee JOHN WILEY & SONS, INC. This book is printed on acid-free paper. Copyright c
More informationCISM Courses and Lectures
CISM Courses and Lectures Series Editors: The Rectors Friedrich Pfeiffer - Munich Franz G. Rammerstorfer - Wien Elisabeth Guazzelli - Marseille The Secretary General Bernhard Schrefler - Padua Executive
More informationTopics in Algebra and Analysis
Radmila Bulajich Manfrino José Antonio Gómez Ortega Rogelio Valdez Delgado Topics in Algebra and Analysis Preparing for the Mathematical Olympiad Radmila Bulajich Manfrino Facultad de Ciencias Universidad
More informationDoubt-Free Uncertainty In Measurement
Doubt-Free Uncertainty In Measurement Colin Ratcliffe Bridget Ratcliffe Doubt-Free Uncertainty In Measurement An Introduction for Engineers and Students Colin Ratcliffe United States Naval Academy Annapolis
More informationDifferential-Algebraic Equations Forum
Differential-Algebraic Equations Forum Editors-in-Chief Achim Ilchmann (TU Ilmenau, Ilmenau, Germany) Timo Reis (Universität Hamburg, Hamburg, Germany) Editorial Board Larry Biegler (Carnegie Mellon University,
More informationNon-Instantaneous Impulses in Differential Equations
Non-Instantaneous Impulses in Differential Equations Ravi Agarwal Snezhana Hristova Donal O Regan Non-Instantaneous Impulses in Differential Equations 123 Ravi Agarwal Department of Mathematics Texas A&M
More informationComplex Compounds Background of Complex Compound Technology
Complex Compounds For more than 20 years, Rocky Research has been a pioneer in the field of sorption refrigeration utilizing complex compounds. Our technology earned special recognition from NASA in 1999.
More informationA Model for Parametric Analysis of Pulse Tube Losses in Pulse Tube Refrigerators
A Model for Parametric Analysis of Pulse Tube Losses in Pulse Tube Refrigerators C. Dodson 1, 2, A. Razani 1, 2 and T. Roberts 1 1 Air Force Research Laboratory Kirtland AFB, NM 87117 2 The University
More informationTechnische Universität Dresden Lehrstuhl für Kälte- und Kryotechnik Dresden, 01062, Germany
CONSTRUCTION OF A PARA-ORTHO HYDROGEN TEST CRYOSTAT J. Essler, Ch. Haberstroh Technische Universität Dresden Lehrstuhl für Kälte- und Kryotechnik Dresden, 01062, Germany ABSTRACT In a prospective hydrogen
More informationBasic Thermodynamics Module 1
Basic Thermodynamics Module 1 Lecture 9: Thermodynamic Properties of Fluids Thermodynamic Properties of fluids Most useful properties: Properties like pressure, volume and temperature which can be measured
More informationNonlinear Dynamical Systems in Engineering
Nonlinear Dynamical Systems in Engineering . Vasile Marinca Nicolae Herisanu Nonlinear Dynamical Systems in Engineering Some Approximate Approaches Vasile Marinca Politehnica University of Timisoara Department
More informationPart III: Planes, Trains, and Automobiles: Making Heat Work for You
Contents at a Glance Introduction... 1 Part I: Covering the Basics in Thermodynamics... 7 Chapter 1: Thermodynamics in Everyday Life...9 Chapter 2: Laying the Foundation of Thermodynamics...15 Chapter
More informationAdvanced Calculus of a Single Variable
Advanced Calculus of a Single Variable Tunc Geveci Advanced Calculus of a Single Variable 123 Tunc Geveci Department of Mathematics and Statistics San Diego State University San Diego, CA, USA ISBN 978-3-319-27806-3
More informationSpringerBriefs in Mathematics
SpringerBriefs in Mathematics Series Editors Nicola Bellomo Michele Benzi Palle E.T. Jorgensen Tatsien Li Roderick Melnik Otmar Scherzer Benjamin Steinberg Lothar Reichel Yuri Tschinkel G. George Yin Ping
More informationThermodynamics of solids 5. Unary systems. Kwangheon Park Kyung Hee University Department of Nuclear Engineering
Thermodynamics of solids 5. Unary systems Kwangheon ark Kyung Hee University Department of Nuclear Engineering 5.1. Unary heterogeneous system definition Unary system: one component system. Unary heterogeneous
More informationCONVECTION HEAT TRANSFER
CONVECTION HEAT TRANSFER THIRD EDITION Adrian Bejan J. A. Jones Professor of Mechanical Engineering Duke University Durham, North Carolina WILEY JOHN WILEY & SONS, INC. CONTENTS Preface Preface to the
More informationProgress in Advanced Structural and Functional Materials Design
Progress in Advanced Structural and Functional Materials Design Tomoyuki Kakeshita Editor Progress in Advanced Structural and Functional Materials Design Editor Tomoyuki Kakeshita Division of Materials
More informationMechanics of Materials
Mechanics of Materials Parviz Ghavami Mechanics of Materials An Introduction to Engineering Technology Parviz Ghavami Harlingen, TX, USA ISBN 978-3-319-07571-6 ISBN 978-3-319-07572-3 (ebook) DOI 10.1007/978-3-319-07572-3
More informationVacuum techniques (down to 1 K)
Vacuum techniques (down to 1 K) For isolation (deep Knudsen regime) liquid helium dewar / inner vacuum jacket Leak testing at level 10-11 Pa m3/s (10-10 mbar l/s) liquid helium dewar & transfer syphon
More informationMathematical Engineering
Electrical Machines Mathematical Engineering Series Editors Prof. Dr. Claus Hillermeier, Munich, Germany, (volume editor) Prof. Dr.-Ing. Jörg Schröder, Essen, Germany Prof. Dr.-Ing. Bernhard Weigand, Stuttgart,
More informationINTRODUCTION TO CATALYTIC COMBUSTION
INTRODUCTION TO CATALYTIC COMBUSTION R.E. Hayes Professor of Chemical Engineering Department of Chemical and Materials Engineering University of Alberta, Canada and S.T. Kolaczkowski Professor of Chemical
More informationSystem design of 60K Stirling-type co-axial pulse tube coolers for HTS RF filters
System design of 60K Stirling-type co-axial pulse tube coolers for HTS RF filters Y. L. Ju, K. Yuan, Y. K. Hou, W. Jing, J. T. Liang and Y. Zhou Cryogenic Laboratory, Technical Institute of Physics and
More informationStudies in Systems, Decision and Control. Series editor Janusz Kacprzyk, Polish Academy of Sciences, Warsaw, Poland
Studies in Systems, Decision and Control Volume 13 Series editor Janusz Kacprzyk, Polish Academy of Sciences, Warsaw, Poland e-mail: kacprzyk@ibspan.waw.pl About this Series The series "Studies in Systems,
More informationHigh-Pressure Volumetric Analyzer
High-Pressure Volumetric Analyzer High-Pressure Volumetric Analysis HPVA II Benefits Dual free-space measurement for accurate isotherm data Free space can be measured or entered Correction for non-ideality
More informationIntroduction to Chemical Engineering Thermodynamics. Chapter 7. KFUPM Housam Binous CHE 303
Introduction to Chemical Engineering Thermodynamics Chapter 7 1 Thermodynamics of flow is based on mass, energy and entropy balances Fluid mechanics encompasses the above balances and conservation of momentum
More informationA. Kovacevic N. Stosic I. Smith. Screw Compressors. Three Dimensional Computational Fluid Dynamics and Solid Fluid Interaction.
Screw Compressors A. Kovacevic N. Stosic I. Smith Screw Compressors Three Dimensional Computational Fluid Dynamics and Solid Fluid Interaction With 83 Figures Ahmed Kovacevic Nikola Stosic Ian Smith School
More informationNon-Western Theories of International Relations
Non-Western Theories of International Relations Alexei D. Voskressenski Non-Western Theories of International Relations Conceptualizing World Regional Studies Alexei D. Voskressenski MGIMO University Moscow,
More informationA cryogenic heat exchanger with bypass and throttling and its thermodynamic analysis
IOP Conference Series: Materials Science and Engineering PAPE OPEN ACCESS A cryogenic heat exchanger with bypass and throttling and its thermodynamic analysis To cite this article: X Tao et al 015 IOP
More informationCooling Temperatures of Binary Mixed Refrigerants: Vapor-Liquid-Liquid Equilibrium versus Vapor-Liquid Equilibrium
1 Cooling Temperatures of Binary Mixed Refrigerants: Vapor-Liquid-Liquid Equilibrium versus Vapor-Liquid Equilibrium N. Tzabar, H.J.M. ter Brake Energy Materials and Systems Faculty of Science and Technology
More informationClassification following properties of the system in Intensive and Extensive
Unit I Classification following properties of the system in Intensive and Extensive Extensive : mass, weight, volume, potential energy, Kinetic energy, Internal energy, entropy, exergy, energy, magnetization
More informationWei Gao. Editor. Graphene Oxide. Reduction Recipes, Spectroscopy, and Applications
Graphene Oxide Wei Gao Editor Graphene Oxide Reduction Recipes, Spectroscopy, and Applications Editor Wei Gao The Department of Textile Engineering Chemistry & Science, College of Textiles North Carolina
More informationLauge Fuglsang Nielsen. Composite Materials. Properties as Influenced by Phase Geometry. With 241 Figures ABC
Composite Materials Lauge Fuglsang Nielsen Composite Materials Properties as Influenced by Phase Geometry With 241 Figures ABC Lauge Fuglsang Nielsen Technical University of Denmark Dept. Civil Engineering,
More informationIf there is convective heat transfer from outer surface to fluid maintained at T W.
Heat Transfer 1. What are the different modes of heat transfer? Explain with examples. 2. State Fourier s Law of heat conduction? Write some of their applications. 3. State the effect of variation of temperature
More informationVegard B. Sørdal. Thermodynamics of 4He-3He mixture and application in dilution refrigeration
Vegard B. Sørdal Thermodynamics of 4He-3He mixture and application in dilution refrigeration 1. Introduction 2. Crogenic methods Contents of the presentation 3. Properties of Helium 4. Superfluid Helium
More information(Refer Slide Time: 00:00:43 min) Welcome back in the last few lectures we discussed compression refrigeration systems.
Refrigeration and Air Conditioning Prof. M. Ramgopal Department of Mechanical Engineering Indian Institute of Technology, Kharagpur Lecture No. # 14 Vapour Absorption Refrigeration Systems (Refer Slide
More informationFormation of the Solar System
Formation of the Solar System V.I. Ferronsky S.V. Ferronsky Formation of the Solar System A New Theory of the Creation and Decay of the Celestial Bodies 123 V.I. Ferronsky Water Problems Institute of
More informationEssential Physics and Engineering of Cryogenics for Accelerators
Essential Physics and Engineering of Cryogenics for Accelerators Simplified Concepts & Practical Viewpoints By VenkataRao Ganni November 5, 2012 Page 1 What is Cryogenics? It is the production of temperature
More informationFundamentals of Electrical Circuit Analysis
Fundamentals of Electrical Circuit Analysis Md. Abdus Salam Quazi Mehbubar Rahman Fundamentals of Electrical Circuit Analysis 123 Md. Abdus Salam Electrical and Electronic Engineering Programme Area, Faculty
More informationInvestigations on Performance of an Auto-Cascade Absorption Refrigeration System Operating with Mixed Refrigerants
Purdue University Purdue e-pubs International Refrigeration and Air Conditioning Conference School of Mechanical Engineering 2016 Investigations on Performance of an Auto-Cascade Absorption Refrigeration
More informationUBMCC11 - THERMODYNAMICS. B.E (Marine Engineering) B 16 BASIC CONCEPTS AND FIRST LAW PART- A
UBMCC11 - THERMODYNAMICS B.E (Marine Engineering) B 16 UNIT I BASIC CONCEPTS AND FIRST LAW PART- A 1. What do you understand by pure substance? 2. Define thermodynamic system. 3. Name the different types
More informationR13. II B. Tech I Semester Regular Examinations, Jan THERMODYNAMICS (Com. to ME, AE, AME) PART- A
SET - 1 II B. Tech I Semester Regular Examinations, Jan - 2015 THERMODYNAMICS (Com. to ME, AE, AME) Time: 3 hours Max. Marks: 70 Note 1. Question Paper consists of two parts (Part-A and Part-B) 2. Answer
More informationCHAPTER 5 MASS AND ENERGY ANALYSIS OF CONTROL VOLUMES
Thermodynamics: An Engineering Approach 8th Edition in SI Units Yunus A. Çengel, Michael A. Boles McGraw-Hill, 2015 CHAPTER 5 MASS AND ENERGY ANALYSIS OF CONTROL VOLUMES Lecture slides by Dr. Fawzi Elfghi
More informationComposition Shift of a Mixed-Gas Joule-Thomson Refrigerator Driven by an Oil-Free Compressor
Composition Shift of a Mixed-Gas Joule-Thomson Refrigerator Driven by an Oil-Free Compressor M. Gong, Z. Deng, and J. Wu Technical Institute of Physics and Chemistry Chinese Academy of Sciences Beijing
More informationME6301- ENGINEERING THERMODYNAMICS UNIT I BASIC CONCEPT AND FIRST LAW PART-A
ME6301- ENGINEERING THERMODYNAMICS UNIT I BASIC CONCEPT AND FIRST LAW PART-A 1. What is meant by thermodynamics system? (A/M 2006) Thermodynamics system is defined as any space or matter or group of matter
More informationMAHALAKSHMI ENGINEERING COLLEGE
MAHALAKSHMI ENGINEERING COLLEGE TIRUCHIRAPALLI 621 213. Department: Mechanical Subject Code: ME2202 Semester: III Subject Name: ENGG. THERMODYNAMICS UNIT-I Basic Concept and First Law 1. What do you understand
More informationMass flow determination in flashing openings
Int. Jnl. of Multiphysics Volume 3 Number 4 009 40 Mass flow determination in flashing openings Geanette Polanco Universidad Simón Bolívar Arne Holdø Narvik University College George Munday Coventry University
More informationInternational Conference on Methods of Aerophysical Research, ICMAR secondary gas ( p0s. aerodynamic throat. subsonic diffuser.
OPTIMIZATION OF GAS-JET EJECTORS WITH CONVERGING CHAMBER A.V. Sobolev Khristianovich Institute of Theoretical and Applied Mechanics, SD RAS, Novosibirs 630090, Russia In the development of gas-jet ejectors,
More informationSpringer Series on Atomic, Optical, and Plasma Physics
Springer Series on Atomic, Optical, and Plasma Physics Volume 51 Editor-in-chief Gordon W. F. Drake, Department of Physics, University of Windsor, Windsor, ON, Canada Series editors James Babb, Harvard-Smithsonian
More informationDevelopment of high-efficiency Stirling cryocoolers for high temperature superconducting motors
IOP Conference Series: Materials Science and Engineering PAPER OPEN ACCESS Development of high-efficiency Stirling cryocoolers for high temperature superconducting motors To cite this article: K Nakano
More informationCompression and Expansion of Fluids
CH2303 Chemical Engineering Thermodynamics I Unit V Compression and Expansion of Fluids Dr. M. Subramanian 26-Sep-2011 Associate Professor Department of Chemical Engineering Sri Sivasubramaniya Nadar College
More informationName: Discussion Section:
CBE 141: Chemical Engineering Thermodynamics, Spring 2017, UC Berkeley Midterm 2 FORM A March 23, 2017 Time: 80 minutes, closed-book and closed-notes, one-sided 8 ½ x 11 equation sheet allowed Please show
More information5/6/ :41 PM. Chapter 6. Using Entropy. Dr. Mohammad Abuhaiba, PE
Chapter 6 Using Entropy 1 2 Chapter Objective Means are introduced for analyzing systems from the 2 nd law perspective as they undergo processes that are not necessarily cycles. Objective: introduce entropy
More informationName: Discussion Section:
CBE 141: Chemical Engineering Thermodynamics, Spring 2017, UC Berkeley Midterm 2 FORM B March 23, 2017 Time: 80 minutes, closed-book and closed-notes, one-sided 8 ½ x 11 equation sheet allowed lease show
More informationChapter 5: The First Law of Thermodynamics: Closed Systems
Chapter 5: The First Law of Thermodynamics: Closed Systems The first law of thermodynamics can be simply stated as follows: during an interaction between a system and its surroundings, the amount of energy
More informationUNITEXT La Matematica per il 3+2. Volume 87
UNITEXT La Matematica per il 3+2 Volume 87 More information about this series at http://www.springer.com/series/5418 Sandro Salsa Gianmaria Verzini Partial Differential Equations in Action Complements
More informationSECOND ENGINEER REG. III/2 APPLIED HEAT
SECOND ENGINEER REG. III/2 APPLIED HEAT LIST OF TOPICS A B C D E F G H I J K Pressure, Temperature, Energy Heat Transfer Internal Energy, Thermodynamic systems. First Law of Thermodynamics Gas Laws, Displacement
More informationTheory of Elasticity
Theory of Elasticity Aldo Maceri Theory of Elasticity 123 Prof. Dr.-Ing. Aldo Maceri Universitá Roma Tre Departimento di Ingegneria Meccanica e Industriale Via della Vasca Navale, 79 00146 Roma Italy
More informationR13 SET - 1 '' ''' '' ' '''' Code No RT21033
SET - 1 II B. Tech I Semester Supplementary Examinations, June - 2015 THERMODYNAMICS (Com. to ME, AE, AME) Time: 3 hours Max. Marks: 70 Note: 1. Question Paper consists of two parts (Part-A and Part-B)
More informationA Numerical Model of Regenerator Based on Lagrange Description
P# 003 287 1 A Numerical Model of Regenerator Based on Lagrange Description Qingun Tang 1,2, Jinghui Cai 1, Yanie Liu 1,,Houlei Chen 1 1 Technical Inst. of Physics and Chemistry, CAS, Beiing, China 2 Univ.
More informationHEAT TRANSFER THERMAL MANAGEMENT OF ELECTRONICS YOUNES SHABANY. C\ CRC Press W / Taylor Si Francis Group Boca Raton London New York
HEAT TRANSFER THERMAL MANAGEMENT OF ELECTRONICS YOUNES SHABANY C\ CRC Press W / Taylor Si Francis Group Boca Raton London New York CRC Press is an imprint of the Taylor & Francis Group, an informa business
More informationLecture 44: Review Thermodynamics I
ME 00 Thermodynamics I Lecture 44: Review Thermodynamics I Yong Li Shanghai Jiao Tong University Institute of Refrigeration and Cryogenics 800 Dong Chuan Road Shanghai, 0040, P. R. China Email : liyo@sjtu.edu.cn
More informationContents. I Introduction 1. Preface. xiii
Contents Preface xiii I Introduction 1 1 Continuous matter 3 1.1 Molecules................................ 4 1.2 The continuum approximation.................... 6 1.3 Newtonian mechanics.........................
More informationBourbaki Elements of the History of Mathematics
Bourbaki Elements of the History of Mathematics Springer Berlin Heidelberg New York Barcelona Hong Kong London Milan Paris Singapore Tokyo Nicolas Bourbaki Elements of the History of Mathematics Translated
More information