1 Conduction Heat Transfer
|
|
- Lynne Marsh
- 5 years ago
- Views:
Transcription
1 Eng690 - Formula Sheet 2 Conduction Heat Transfer. Cartesian Co-ordinates q x xa x A x dt dx R th A 2 T x T y T z 2 + q T T x) plane wall of thicness 2, x 0 at centerline, T s, at x, T s,2 at x, steady state, D, uniform source and properties: ) T x) q2 x 2 ) Ts,2 T s, x + 2 ) 2 + T s, + T s,2 2.2 Polar-Cylindrical Co-ordinates q r 2πr dt dr R th lnr 2/r ) 2π 2 T r 2 + T r r + 2 T r 2 θ T z 2 + q T T r) in pipe wall r 2 > r ), T s, at r, T s,2 at r 2, D radial, steady state, no source, uniform properties: T r) T ) s, T s,2 r lnr /r 2 ) ln + T s,2 r 2 T r) solid rod of radius r o, T s at r o, D radial, steady state, uniform source and properties:.3 Spherical Co-ordinates r 2 r 2 T ) + r r T r) qr2 o 4 q r 4πr 2 dt dr r 2 sin θ 2 Convection Heat Transfer ) ) r 2 + T s ro sin θ T ) + θ θ R th ) 4π r r 2 2 T r 2 sin 2 θ φ 2 + q T q ha surf T s T ) R th ha surf 3 Radiation Heat Transfer q rad F G ɛσa surf T 4 T 4 2 ) h r ɛσt s + T sur )T 2 s + T 2 sur) R th h r A surf σ W/m 2 K 4
2 Eng690 - Formula Sheet Fins hp θ x T x T m η f q f q f A c q max ha f θ b q f η f ha f θ b 4. Case A: Convection Heat oss from the Tip of the Fin θ coshm x)) + h/m) sinhm x)) θ b coshm) + h/m) sinhm) η f m 4.2 Case B: Insulated Tip [ ] sinhm) + h/m) coshm) coshm) + h/m) sinhm) q f hp A c θ b sinhm) + h/m) coshm) coshm) + h/m) sinhm) θ coshm x)) θ b coshm) q f hp A c θ b tanhm) η f tanhm) m 4.3 Case C: Specified Tip Temperature θ θ /θ b ) sinhmx) + sinhm x)) θ b sinhm) q f hp A c θ b coshm) θ /θ b sinhm) 4.4 Case D: Very ong or Infinite) Fin θ e mx q f hp A c θ b η f θ b m 4.5 Case B Approximation of Case A η f tanhm c) c + A tip /P A f P c tanhx) ex e x m c e x + e x 4.6 Fin Resistance 5 Contact Resistance q f η f ha f θ b θ b R t,f R t,f η f ha f R t,c h c A contact R t,c A contact
3 Eng690 - Formula Sheet Forced Convection - Flat Plate 6. Parameters Nu x h xx Nu h Re x ρu x Re ρu Re D ρu D P r c p 6.2 aminar Boundary ayer T s constant: C f,x 0.664Re /2 x C f.328re /2 Nu x 0.332Re /2 x P r /3 Nu 0.664Re /2 P r/3 P r 0.6 Heating starts ξ from the leading edge: s constant: Nu x 0.332Re /2 x P r /3 [ ] ξ 3/4 /3 x) Nu x 0.453Re /2 x P r /3 Nu 0.680Re /2 P r/3 P r Turbulent Boundary ayer T s constant: s 3 2 h T s T ) C f,x Re /5 x Nu x Re 4/5 x P r /3 0.6 < P r < 60, Re x < 0 8 Heating starts ξ from the leading edge: Nu x Re 4/5 x P r /3 [ ξ/x) 9/0 ] /9 0.6 < P r < 60, Re x < 0 8 s constant: Nu x Re 4/5 x P r /3 0.6 P r Mixed Boundary ayer Conditions When Re x,c : Nu 0.037Re 4/5 A)P r/3 A 0.037Rex,c 4/ Rex,c /2 Nu 0.037Re 4/5 87)P r/3 C f Completely turbulent boundary layer: Re /5 Nu 0.037Re 4/5 P r/3 C f 0.074Re /5 742 Re 0.6 < P r < 60, < Re 0 8
4 Eng690 - Formula Sheet Forced Convection - Flow over Cylinders and Spheres 7. Parameters Nu D hd Re D ρu D 7.2 Flow over Cylinders 7.3 Flow over Spheres Nu D CRe m DP r /3 P r 0.6 Re D C m , , , Nu D Re /2 D ) / Re2/3 D )P r0.4 s 8 Forced Convection - Internal Flows 8. Parameters 8.2 Energy Balance T s constant: Nu D hd Nu D hd Re D ρu md q conv ṁc p T m,o T m,i ) UA T lm T lm T s T m,o ) T s T m,i ) ln [T s T m,o )/T s T m,i )] s const: T m,o T s T s T m,i ) exp T m x) T m,i + q s P ṁc p x UA ) ṁc p UA ΣR th
5 Eng690 - Formula Sheet aminar Flow Fully Developed: Nu D 4.36 s const Nu D 3.66 T s const Entry Region /D < 0.05Re D P r, constant T s ) 8.4 Turbulent Flow Nu D.86 Fully Developed /D 0, constant T s or s ): ) ReD P r /3 ) 0.4 /D s Nu D 0.023Re 4/5 D P rn n 0.4, T s > T m n 0.3, T s < T m Entry Region /D < 0, constant T s or s ): ) Nu D 0.036Re 4/5 D D P r/3 8.5 Flows in Noncircular Tubes Replace D in all parameters with the hydraulic diameter, D H : D H 4A c P
1 Conduction Heat Transfer
Eng6901 - Formula Sheet 3 (December 1, 2015) 1 1 Conduction Heat Transfer 1.1 Cartesian Co-ordinates q x = q xa x = ka x dt dx R th = L ka 2 T x 2 + 2 T y 2 + 2 T z 2 + q k = 1 T α t T (x) plane wall of
More informationConduction Heat Transfer. Fourier Law of Heat Conduction. Thermal Resistance Networks. Resistances in Series. x=l Q x+ Dx. insulated x+ Dx.
Conduction Heat Transfer Reading Problems 17-1 17-6 17-35, 17-57, 17-68, 17-81, 17-88, 17-110 18-1 18-2 18-14, 18-20, 18-34, 18-52, 18-80, 18-104 Fourier Law of Heat Conduction insulated x+ Dx x=l Q x+
More informationConduction Heat Transfer. Fourier Law of Heat Conduction. x=l Q x+ Dx. insulated x+ Dx. x x. x=0 Q x A
Conduction Heat Transfer Reading Problems 10-1 10-6 10-20, 10-48, 10-59, 10-70, 10-75, 10-92 10-117, 10-123, 10-151, 10-156, 10-162 11-1 11-2 11-14, 11-20, 11-36, 11-41, 11-46, 11-53, 11-104 Fourier Law
More informationChapter 10: Steady Heat Conduction
Chapter 0: Steady Heat Conduction In thermodynamics, we considered the amount of heat transfer as a system undergoes a process from one equilibrium state to another hermodynamics gives no indication of
More informationChapter 3: Steady Heat Conduction
3-1 Steady Heat Conduction in Plane Walls 3-2 Thermal Resistance 3-3 Steady Heat Conduction in Cylinders 3-4 Steady Heat Conduction in Spherical Shell 3-5 Steady Heat Conduction with Energy Generation
More informationIntroduction to Heat and Mass Transfer. Week 5
Introduction to Heat and Mass Transfer Week 5 Critical Resistance Thermal resistances due to conduction and convection in radial systems behave differently Depending on application, we want to either maximize
More informationChapter 3: Steady Heat Conduction. Dr Ali Jawarneh Department of Mechanical Engineering Hashemite University
Chapter 3: Steady Heat Conduction Dr Ali Jawarneh Department of Mechanical Engineering Hashemite University Objectives When you finish studying this chapter, you should be able to: Understand the concept
More informationECE309 INTRODUCTION TO THERMODYNAMICS & HEAT TRANSFER. 10 August 2005
ECE309 INTRODUCTION TO THERMODYNAMICS & HEAT TRANSFER 0 August 2005 Final Examination R. Culham & M. Bahrami This is a 2 - /2 hour, closed-book examination. You are permitted to use one 8.5 in. in. crib
More informationSTEADY HEAT CONDUCTION IN PLANE WALLS
FIGUE 3 STEADY HEAT CONDUCTION IN PLANE WALLS The energy balance for the wall can be expressed as ate of ate of heat trans fer heat trans fer into the wall out of the wall ate of change of the energy of
More informationChapter 3 Steady-State, ne- mens onal C on uction
Chapter 3 Steady-State, One-Dimensional i Conduction 3.1 The Plane Wall 3.1.1 Temperature Distribution For one-dimensional, steady-state conduction in a plane wall with no heat generation, the differential
More informationHeat Transfer. Solutions for Vol I _ Classroom Practice Questions. Chapter 1 Conduction
Heat ransfer Solutions for Vol I _ lassroom Practice Questions hapter onduction r r r K K. ns: () ase (): Higher thermal conductive material is inside and lo thermal conductive material is outside K K
More informationExternal Forced Convection :
External Forced Convection : Flow over Bluff Objects (Cylinders, Spheres, Packed Beds) and Impinging Jets Chapter 7 Sections 7.4 through 7.8 7.4 The Cylinder in Cross Flow Conditions depend on special
More informationChapter 2: Steady Heat Conduction
2-1 General Relation for Fourier s Law of Heat Conduction 2-2 Heat Conduction Equation 2-3 Boundary Conditions and Initial Conditions 2-4 Variable Thermal Conductivity 2-5 Steady Heat Conduction in Plane
More informationConvection Heat Transfer. Introduction
Convection Heat Transfer Reading Problems 12-1 12-8 12-40, 12-49, 12-68, 12-70, 12-87, 12-98 13-1 13-6 13-39, 13-47, 13-59 14-1 14-4 14-18, 14-24, 14-45, 14-82 Introduction Newton s Law of Cooling Controlling
More informationStudy of Temperature Distribution Along the Fin Length
Heat Transfer Experiment No. 2 Study of Temperature Distribution Along the Fin Length Name of the Student: Roll No: Department of Mechanical Engineering for Women, Pune. Aim: ˆ Measuring the temperature
More informationPROBLEM 7.2 1/3. (b) The local convection coefficient, Eq. 7.23, and heat flux at x = L are 1/2 1/3
PROBLEM 7. KNOWN: Temperature and velocity of engine oil. Temperature and length of flat plate. FIND: (a) Velocity and thermal boundary layer thickness at trailing edge, (b) Heat flux and surface shear
More informationInternal Forced Convection. Copyright The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
Internal Forced Convection Copyright The McGraw-Hill Companies, Inc. Permission required for reproduction or display. Introduction Pipe circular cross section. Duct noncircular cross section. Tubes small-diameter
More informationTransport processes. 7. Semester Chemical Engineering Civil Engineering
Transport processes 7. Semester Chemical Engineering Civil Engineering 1. Elementary Fluid Dynamics 2. Fluid Kinematics 3. Finite Control Volume Analysis 4. Differential Analysis of Fluid Flow 5. Viscous
More informationAP Physics C. Gauss s Law. Free Response Problems
AP Physics Gauss s Law Free Response Problems 1. A flat sheet of glass of area 0.4 m 2 is placed in a uniform electric field E = 500 N/. The normal line to the sheet makes an angle θ = 60 ẘith the electric
More informationPROBLEM 3.8 ( ) 20 C 10 C m m m W m K W m K 1.4 W m K. 10 W m K 80 W m K
PROBLEM 3.8 KNOWN: Dimensions of a thermopane window. Room and ambient air conditions. FIND: (a) Heat loss through window, (b) Effect of variation in outside convection coefficient for double and triple
More informationProblem 3.73 Known: Composite wall with outer surfaces exposed to convection process while the inner wall experiences uniform heat generation
Problem 3.73 Known: omposite wall with outer surfaces eposed to ection process while the inner wall eperiences uniform heat generation Unnown: Volumetric heat generation and thermal conductivity for material
More informationAutumn 2005 THERMODYNAMICS. Time: 3 Hours
CORK INSTITUTE OF TECHNOOGY Bachelor of Engineering (Honours) in Mechanical Engineering Stage 3 (Bachelor of Engineering in Mechanical Engineering Stage 3) (NFQ evel 8) Autumn 2005 THERMODYNAMICS Time:
More informationENG Heat Transfer II 1. 1 Forced Convection: External Flows Flow Over Flat Surfaces... 4
ENG7901 - Heat Transfer II 1 Contents 1 Forced Convection: External Flows 4 1.1 Flow Over Flat Surfaces............................. 4 1.1.1 Non-Dimensional form of the Equations of Motion.......... 4
More informationUniversity of Rome Tor Vergata
University of Rome Tor Vergata Faculty of Engineering Department of Industrial Engineering THERMODYNAMIC AND HEAT TRANSFER HEAT TRANSFER dr. G. Bovesecchi gianluigi.bovesecchi@gmail.com 06-7259-727 (7249)
More information1. Nusselt number and Biot number are computed in a similar manner (=hd/k). What are the differences between them? When and why are each of them used?
1. Nusselt number and Biot number are computed in a similar manner (=hd/k). What are the differences between them? When and why are each of them used?. During unsteady state heat transfer, can the temperature
More informationChapter 8 Internal Forced Convection
Chater 8 Internal Forced Convection 8.1 Hydrodynamic Considerations 8.1.1 Flow Conditions may be determined exerimentally, as shown in Figs. 7.1-7.2. Re D ρumd μ where u m is the mean fluid velocity over
More informationCHME 302 CHEMICAL ENGINEERING LABOATORY-I EXPERIMENT 302-V FREE AND FORCED CONVECTION
CHME 302 CHEMICAL ENGINEERING LABOATORY-I EXPERIMENT 302-V FREE AND FORCED CONVECTION OBJECTIVE The objective of the experiment is to compare the heat transfer characteristics of free and forced convection.
More informationReview: Conduction. Breaking News
CH EN 3453 Heat Transfer Review: Conduction Breaking News No more homework (yay!) Final project reports due today by 8:00 PM Email PDF version to report@chen3453.com Review grading rubric on Project page
More informationExperiment 1. Measurement of Thermal Conductivity of a Metal (Brass) Bar
Experiment 1 Measurement of Thermal Conductivity of a Metal (Brass) Bar Introduction: Thermal conductivity is a measure of the ability of a substance to conduct heat, determined by the rate of heat flow
More informationParallel Plate Heat Exchanger
Parallel Plate Heat Exchanger Parallel Plate Heat Exchangers are use in a number of thermal processing applications. The characteristics are that the fluids flow in the narrow gap, between two parallel
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 informationNumerical Heat and Mass Transfer
Master Degree in Mechanical Engineering Numerical Heat and Mass Transfer 03 Finned Surfaces Fausto Arpino f.arpino@unicas.it Outline Introduction Straight fin with constant circular cross section Long
More informationHeat Transfer Convection
Heat ransfer Convection Previous lectures conduction: heat transfer without fluid motion oday (textbook nearly 00 pages) Convection: heat transfer with fluid motion Research methods different Natural Convection
More informationELEC9712 High Voltage Systems. 1.2 Heat transfer from electrical equipment
ELEC9712 High Voltage Systems 1.2 Heat transfer from electrical equipment The basic equation governing heat transfer in an item of electrical equipment is the following incremental balance equation, with
More informationExamination Heat Transfer
Examination Heat Transfer code: 4B680 date: 17 january 2006 time: 14.00-17.00 hours NOTE: There are 4 questions in total. The first one consists of independent sub-questions. If necessary, guide numbers
More informationPROBLEM 8.3 ( ) p = kg m 1m s m 1000 m = kg s m = bar < P = N m 0.25 m 4 1m s = 1418 N m s = 1.
PROBLEM 8.3 KNOWN: Temperature and velocity of water flow in a pipe of prescribed dimensions. FIND: Pressure drop and pump power requirement for (a) a smooth pipe, (b) a cast iron pipe with a clean surface,
More informationME 315 Exam 1 Thursday, October 1, 2015 CIRCLE YOUR DIVISION
ME 5 Exam Thursday, October, 05 This is a closed-book, closed-notes examination. There is a formula sheet provided. You are also allowed to bring your own one-page letter size, doublesided crib sheet.
More informationPrinciples of Food and Bioprocess Engineering (FS 231) Exam 2 Part A -- Closed Book (50 points)
Principles of Food and Bioprocess Engineering (FS 231) Exam 2 Part A -- Closed Book (50 points) 1. Are the following statements true or false? (20 points) a. Thermal conductivity of a substance is a measure
More informationChapter 4: Transient Heat Conduction. Dr Ali Jawarneh Department of Mechanical Engineering Hashemite University
Chapter 4: Transient Heat Conduction Dr Ali Jawarneh Department of Mechanical Engineering Hashemite University Objectives When you finish studying this chapter, you should be able to: Assess when the spatial
More informationMATH20411 PDEs and Vector Calculus B
MATH2411 PDEs and Vector Calculus B Dr Stefan Güttel Acknowledgement The lecture notes and other course materials are based on notes provided by Dr Catherine Powell. SECTION 1: Introctory Material MATH2411
More informationASSUMPTIONS: (1) One-dimensional, radial conduction, (2) Constant properties.
PROBLEM 5.5 KNOWN: Diameter and radial temperature of AISI 00 carbon steel shaft. Convection coefficient and temperature of furnace gases. FIND: me required for shaft centerline to reach a prescribed temperature.
More informationFin Convection Experiment
Fin Convection Experiment Thermal Network Solution with TNSolver Bob Cochran Applied Computational Heat Transfer Seattle, WA TNSolver@heattransfer.org ME 331 Introduction to Heat Transfer University of
More informationFin Convection Experiment
Fin Convection Experiment Thermal Network Solution with TNSolver Bob Cochran Applied Computational Heat Transfer Seattle, WA TNSolver@heattransfer.org ME 331 Introduction to Heat Transfer University of
More informationChapter 2: Heat Conduction. Dr Ali Jawarneh Department of Mechanical Engineering, Hashemite University
Chapter : Heat Conduction Equation Dr Ali Jawarneh Department of Mechanical Engineering, Hashemite University Objectives When you finish studying this chapter, you should be able to: Understand multidimensionality
More informationHEAT TRANSFER FROM FINNED SURFACES
Fundamentals of Thermal-Fluid Sciences, 3rd Edition Yunus A. Cengel, Robert H. Turner, John M. Cimbala McGraw-Hill, 2008 HEAT TRANSFER FROM FINNED SURFACES Mehmet Kanoglu Copyright The McGraw-Hill Companies,
More informationWrite Down Your NAME. Circle Your DIVISION. Div. 1 Div. 2 Div. 3 Div.4 8:30 am 9:30 pm 12:30 pm 3:30 pm Han Xu Ruan Pan
Write Down Your NAME, Last First Circle Your DIVISION Div. 1 Div. 2 Div. 3 Div.4 8:30 am 9:30 pm 12:30 pm 3:30 pm Han Xu Ruan Pan ME315 Heat and Mass Transfer School of Mechanical Engineering Purdue University
More informationOne-Dimensional, Steady-State. State Conduction without Thermal Energy Generation
One-Dimensional, Steady-State State Conduction without Thermal Energy Generation Methodology of a Conduction Analysis Specify appropriate form of the heat equation. Solve for the temperature distribution.
More informationThermal Unit Operation (ChEg3113)
Thermal Unit Operation (ChEg3113) Lecture 3- Examples on problems having different heat transfer modes Instructor: Mr. Tedla Yeshitila (M.Sc.) Today Review Examples Multimode heat transfer Heat exchanger
More informationSolutions to PS 2 Physics 201
Solutions to PS Physics 1 1. ke dq E = i (1) r = i = i k eλ = i k eλ = i k eλ k e λ xdx () (x x) (x x )dx (x x ) + x dx () (x x ) x ln + x x + x x (4) x + x ln + x (5) x + x To find the field for x, we
More informationIntroduction to Heat and Mass Transfer. Week 14
Introduction to Heat and Mass Transfer Week 14 Next Topic Internal Flow» Velocity Boundary Layer Development» Thermal Boundary Layer Development» Energy Balance Velocity Boundary Layer Development Velocity
More informationPin Fin Lab Report Example. Names. ME331 Lab
Pin Fin Lab Report Example Names ME331 Lab 04/12/2017 1. Abstract The purposes of this experiment are to determine pin fin effectiveness and convective heat transfer coefficients for free and forced convection
More informationME 331 Homework Assignment #6
ME 33 Homework Assignment #6 Problem Statement: ater at 30 o C flows through a long.85 cm diameter tube at a mass flow rate of 0.020 kg/s. Find: The mean velocity (u m ), maximum velocity (u MAX ), and
More informationChapter 7: External Forced Convection. Dr Ali Jawarneh Department of Mechanical Engineering Hashemite University
Chapter 7: External Forced Convection Dr Ali Jawarneh Department of Mechanical Engineering Hashemite University Objectives When you finish studying this chapter, you should be able to: Distinguish between
More informationq x = k T 1 T 2 Q = k T 1 T / 12
Conductive oss through a Window Pane q T T 1 Examine the simple one-dimensional conduction problem as heat flow through a windowpane. The window glass thickness,, is 1/8 in. If this is the only window
More information( ) PROBLEM C 10 C 1 L m 1 50 C m K W. , the inner surface temperature is. 30 W m K
PROBLEM 3. KNOWN: Temperatures and convection coefficients associated with air at the inner and outer surfaces of a rear window. FIND: (a) Inner and outer window surface temperatures, T s,i and T s,o,
More informationConvection Workshop. Academic Resource Center
Convection Workshop Academic Resource Center Presentation Outline Understanding the concepts Correlations External Convection (Chapter 7) Internal Convection (Chapter 8) Free Convection (Chapter 9) Solving
More informationChapter 7: External Forced Convection
Chapter 7: External Forced Convection Yoav Peles Department of Mechanical, Aerospace and Nuclear Engineering Rensselaer Polytechnic Institute Copyright The McGraw-Hill Companies, Inc. Permission required
More information1 R-value = 1 h ft2 F. = m2 K btu. W 1 kw = tons of refrigeration. solar = 1370 W/m2 solar temperature
Quick Reference for Heat Transfer Analysis compiled by Jason Valentine and Greg Walker Please contact greg.alker@vanderbilt.edu ith corrections and suggestions copyleft 28: You may copy, distribute, and
More informationInternal Flow: Heat Transfer in Pipes
Internal Flow: Heat Transfer in Pipes V.Vuorinen Aalto University School of Engineering Heat and Mass Transfer Course, Autumn 2016 November 15 th 2016, Otaniemi ville.vuorinen@aalto.fi First about the
More informationSpecific heat capacity. Convective heat transfer coefficient. Thermal diffusivity. Lc ft, m Characteristic length (r for cylinder or sphere; for slab)
Important Heat Transfer Parameters CBE 150A Midterm #3 Review Sheet General Parameters: q or or Heat transfer rate Heat flux (per unit area) Cp Specific heat capacity k Thermal conductivity h Convective
More informationPROBLEM 3.10 KNOWN: Dimensions and surface conditions of a plate thermally joined at its ends to heat sinks at different temperatures. FIND: (a) Differential equation which determines temperature distribution
More informationChapter 11: Heat Exchangers. Dr Ali Jawarneh Department of Mechanical Engineering Hashemite University
Chapter 11: Heat Exchangers Dr Ali Jawarneh Department of Mechanical Engineering Hashemite University Objectives When you finish studying this chapter, you should be able to: Recognize numerous types of
More informationChapter 2 HEAT CONDUCTION EQUATION
Heat and Mass Transfer: Fundamentals & Applications Fourth Edition Yunus A. Cengel, Afshin J. Ghajar McGraw-Hill, 2011 Chapter 2 HEAT CONDUCTION EQUATION Mehmet Kanoglu University of Gaziantep Copyright
More informationCeiling Radiant Cooling Panels Employing Heat-Conducting Rails: Deriving the Governing Heat Transfer Equations
Authors may request permission to reprint or post on their personal or company Web site once the final version of the article has been published. A reprint permission form may be found at www.ashrae.org.
More informationHeat and Mass Transfer Unit-1 Conduction
1. State Fourier s Law of conduction. Heat and Mass Transfer Unit-1 Conduction Part-A The rate of heat conduction is proportional to the area measured normal to the direction of heat flow and to the temperature
More informationLiquid or gas flow through pipes or ducts is commonly used in heating and
cen58933_ch08.qxd 9/4/2002 11:29 AM Page 419 INTERNAL FORCED CONVECTION CHAPTER 8 Liquid or gas flow through pipes or ducts is commonly used in heating and cooling applications. The fluid in such applications
More informationENGR Heat Transfer II
ENGR 7901 - Heat Transfer II External Flows 1 Introduction In this chapter we will consider several fundamental flows, namely: the flat plate, the cylinder, the sphere, several other body shapes, and banks
More informationConduction: Theory of Extended Surfaces
Conduction: Theory of Etended Surfaces Why etended surface? h, T ha( T T ) s Increasing h Increasing A 2 Fins as etended surfaces A fin is a thin component or appendage attached to a larger body or structure
More informationUNIT II CONVECTION HEAT TRANSFER
UNIT II CONVECTION HEAT TRANSFER Convection is the mode of heat transfer between a surface and a fluid moving over it. The energy transfer in convection is predominately due to the bulk motion of the fluid
More informationChapter 5 Principles of Convection heat transfer (Text: J. P. Holman, Heat Transfer, 8 th ed., McGraw Hill, NY)
hapter 5 Principles of onvection heat transfer (Tet: J. P. Holman, Heat Transfer, 8 th ed., McGra Hill, NY) onsider a fluid flo over a flat plate ith different temperatures (Fig 5-1) q A ha( T T ) since
More informationHeat processes. Heat exchange
Heat processes Heat exchange Heat energy transported across a surface from higher temperature side to lower temperature side; it is a macroscopic measure of transported energies of molecular motions Temperature
More informationFIND: (a) Sketch temperature distribution, T(x,t), (b) Sketch the heat flux at the outer surface, q L,t as a function of time.
PROBLEM 5.1 NOWN: Electrical heater attached to backside of plate while front surface is exposed to convection process (T,h); initially plate is at a uniform temperature of the ambient air and suddenly
More information(a) Consider a sphere of charge with radius a and charge density ρ(r) that varies with radius as. ρ(r) = Ar n for r a
Physics 7B Midterm 2 - Fall 207 Professor R. Birgeneau Total Points: 00 ( Problems) This exam is out of 00 points. Show all your work and take particular care to explain your steps. Partial credit will
More informationChapter 6 Laminar External Flow
Chapter 6 aminar Eternal Flow Contents 1 Thermal Boundary ayer 1 2 Scale analysis 2 2.1 Case 1: δ t > δ (Thermal B.. is larger than the velocity B..) 3 2.2 Case 2: δ t < δ (Thermal B.. is smaller than
More informationConduction Heat Transfer HANNA ILYANI ZULHAIMI
+ Conduction Heat Transfer HNN ILYNI ZULHIMI + OUTLINE u CONDUCTION: PLNE WLL u CONDUCTION: MULTI LYER PLNE WLL (SERIES) u CONDUCTION: MULTI LYER PLNE WLL (SERIES ND PRLLEL) u MULTIPLE LYERS WITH CONDUCTION
More information4. Analysis of heat conduction
4. Analysis of heat conduction John Richard Thome 11 mars 2008 John Richard Thome (LTCM - SGM - EPFL) Heat transfer - Conduction 11 mars 2008 1 / 47 4.1 The well-posed problem Before we go further with
More informationChapter 5 Time-Dependent Conduction
Chapter 5 Time-Dependent Conduction 5.1 The Lumped Capacitance Method This method assumes spatially uniform solid temperature at any instant during the transient process. It is valid if the temperature
More informationLectures on Applied Reactor Technology and Nuclear Power Safety. Lecture No 6
Lectures on Nuclear Power Safety Lecture No 6 Title: Introduction to Thermal-Hydraulic Analysis of Nuclear Reactor Cores Department of Energy Technology KTH Spring 2005 Slide No 1 Outline of the Lecture
More informationChapter 2: Heat Conduction Equation
-1 General Relation for Fourier s Law of Heat Conduction - Heat Conduction Equation -3 Boundary Conditions and Initial Conditions -1 General Relation for Fourier s Law of Heat Conduction (1) The rate of
More informationShort notes for Heat transfer
Furier s Law f Heat Cnductin Shrt ntes fr Heat transfer Q = Heat transfer in given directin. A = Crss-sectinal area perpendicular t heat flw directin. dt = Temperature difference between tw ends f a blck
More informationMECH 375, Heat Transfer Handout #5: Unsteady Conduction
1 MECH 375, Heat Transfer Handout #5: Unsteady Conduction Amir Maleki, Fall 2018 2 T H I S PA P E R P R O P O S E D A C A N C E R T R E AT M E N T T H AT U S E S N A N O PA R T I - C L E S W I T H T U
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 informationPhysics 2 for Students of Mechanical Engineering
Homework #4 203-1-1721 Physics 2 for Students of Mechanical Engineering Part A 2. Derive an expression for the work required by an external agent to put the four charges together as indicated in Fig. 28-28
More informationQUESTION ANSWER. . e. Fourier number:
QUESTION 1. (0 pts) The Lumped Capacitance Method (a) List and describe the implications of the two major assumptions of the lumped capacitance method. (6 pts) (b) Define the Biot number by equations and
More informationChapter 2 HEAT CONDUCTION EQUATION
Heat and Mass Transfer: Fundamentals & Applications 5th Edition in SI Units Yunus A. Çengel, Afshin J. Ghajar McGraw-Hill, 2015 Chapter 2 HEAT CONDUCTION EQUATION Mehmet Kanoglu University of Gaziantep
More informationIntroduction to Heat and Mass Transfer. Week 14
Introduction to Heat and Mass Transfer Week 14 HW # 7 prob. 2 Hot water at 50C flows through a steel pipe (thermal conductivity 14 W/m-K) of 100 mm outside diameter and 8 mm wall thickness. During winter,
More information2.25 Advanced Fluid Mechanics
MIT Department of Mechanical Engineering.5 Advanced Fluid Mechanics Problem 6.0a This problem is from Advanced Fluid Mechanics Problems by A.H. Shapiro and A.A. Sonin Consider a steady, fully developed
More informationPHYS General Physics for Engineering II FIRST MIDTERM
Çankaya University Department of Mathematics and Computer Sciences 2010-2011 Spring Semester PHYS 112 - General Physics for Engineering II FIRST MIDTERM 1) Two fixed particles of charges q 1 = 1.0µC and
More informationName: ME 315: Heat and Mass Transfer Spring 2008 EXAM 2 Tuesday, 18 March :00 to 8:00 PM
Name: ME 315: Heat and Mass Transfer Spring 2008 EXAM 2 Tuesday, 18 March 2008 7:00 to 8:00 PM Instructions: This is an open-book eam. You may refer to your course tetbook, your class notes and your graded
More informationINGENIERÍA EN NANOTECNOLOGÍA
ETAPA DISCIPLINARIA TAREAS 385 TEORÍA ELECTROMAGNÉTICA Prof. E. Efren García G. Ensenada, B.C. México 206 Tarea. Two uniform line charges of ρ l = 4 nc/m each are parallel to the z axis at x = 0, y = ±4
More information3.3 Unsteady State Heat Conduction
3.3 Unsteady State Heat Conduction For many applications, it is necessary to consider the variation of temperature with time. In this case, the energy equation for classical heat conduction, eq. (3.8),
More informationNumber of pages in the question paper : 05 Number of questions in the question paper : 48 Modeling Transport Phenomena of Micro-particles Note: Follow the notations used in the lectures. Symbols have their
More informationOUTCOME 2 - TUTORIAL 1
Unit 4: Heat Transfer and Combustion Unit code: K/60/44 QCF level: 5 Credit value: 5 OUTCOME - TUTORIAL Heat transfer coefficients Dimensional analysis: dimensionless groups; Reynolds, Nusselt, Prandtl,
More informationINSTRUCTOR: PM DR MAZLAN ABDUL WAHID
SMJ 4463: HEAT TRANSFER INSTRUCTOR: PM DR MAZLAN ABDUL WAHID http://www.fkm.utm.my/~mazlan TEXT: Introduction to Heat Transfer by Incropera, DeWitt, Bergman, Lavine 5 th Edition, John Wiley and Sons DR
More informationP.O. Box 30197, Nairobi,
1 Hydromagnetic Steady Flow of Liquid Between Two Parallel Infinite Plates Under Applied Pressure Gradient when Upper Plate is Moving with Constant Velocity Under the Influence of Inclined Magnetic Field
More informationChapter 10: Boiling and Condensation 1. Based on lecture by Yoav Peles, Mech. Aero. Nuc. Eng., RPI.
Chapter 10: Boiling and Condensation 1 1 Based on lecture by Yoav Peles, Mech. Aero. Nuc. Eng., RPI. Objectives When you finish studying this chapter, you should be able to: Differentiate between evaporation
More informationTime-Dependent Conduction :
Time-Dependent Conduction : The Lumped Capacitance Method Chapter Five Sections 5.1 thru 5.3 Transient Conduction A heat transfer process for which the temperature varies with time, as well as location
More information2 Which of the following represents the electric field due to an infinite charged sheet with a uniform charge distribution σ.
Slide 1 / 21 1 closed surface, in the shape of a cylinder of radius R and Length L, is placed in a region with a constant electric field of magnitude. The total electric flux through the cylindrical surface
More informationHEAT TRANSFER BY CONVECTION AND CONDUCTION FROM THE FLUID MOVING AT SOLID WALLS
HEAT TRANSFER BY CONVECTION AND CONDUCTION FROM THE FLUID MOVING AT SOLID WALLS Associate Professor Ph.D. Amado George STEFAN, Lt.Eng., doctoral student Constantin NISTOR MILITARY TECHNICAL ACADEMY Abstract.
More informationSolve the set of equations using the decomposition method and AX=B:
PROBLEM 1.1 STATEMENT Solve the set of equations using the decomposition method and AX=B: 5x 1 + 3x 2 + 4x 3 = 12 6x 1 + 3x 2 + 4x 3 = 15 7x 1 + 9x 2 + 2x 3 = 10 PROBLEM 1.2 STATEMENT 1 4 5 3 4 5 If A
More information