Section 2: Lecture 1 Integral Form of the Conservation Equations for Compressible Flow

4.1 LAWS OF MECHANICS - Review

4.1 LAWS OF MECHANICS - Review Ch4 9 SYSTEM System: Moving Fluid Definitions: System is defined as an arbitrary quantity of mass of fixed identity. Surrounding is everything external to this system. Boundary

Objectives. Conservation of mass principle: Mass Equation The Bernoulli equation Conservation of energy principle: Energy equation

Objectives Conservation of mass principle: Mass Equation The Bernoulli equation Conservation of energy principle: Energy equation Conservation of Mass Conservation of Mass Mass, like energy, is a conserved

Fundamentals of compressible and viscous flow analysis - Part II

Fundamentals of compressible and viscous flow analysis - Part II Lectures 3, 4, 5 Instantaneous and averaged temperature contours in a shock-boundary layer interaction. Taken from (Pasquariello et al.,

2013/5/22. ( + ) ( ) = = momentum outflow rate. ( x) FPressure. 9.3 Nozzles. δ q= heat added into the fluid per unit mass

9.3 Nozzles (b) omentum conservation : (i) Governing Equations Consider: nonadiabatic ternal (body) force ists variable flow area continuously varying flows δq f ternal force per unit volume +d δffdx dx

Week 5. Energy Analysis of Closed Systems. GENESYS Laboratory

Week 5. Energy Analysis of Closed Systems Objectives 1. Examine the moving boundary work or PdV work commonly encountered in reciprocating devices such as automotive engines and compressors 2. Identify

Specific Heat of Diatomic Gases and. The Adiabatic Process

Specific Heat of Diatomic Gases and Solids The Adiabatic Process Ron Reifenberger Birck Nanotechnology Center Purdue University February 22, 2012 Lecture 7 1 Specific Heat for Solids and Diatomic i Gasses

Where does Bernoulli's Equation come from?

Where does Bernoulli's Equation come from? Introduction By now, you have seen the following equation many times, using it to solve simple fluid problems. P ρ + v + gz = constant (along a streamline) This

Chapter Two. Basic Thermodynamics, Fluid Mechanics: Definitions of Efficiency. Laith Batarseh

Chapter Two Basic Thermodynamics, Fluid Mechanics: Definitions of Efficiency Laith Batarseh The equation of continuity Most analyses in this book are limited to one-dimensional steady flows where the velocity

2 Equations of Motion

2 Equations of Motion system. In this section, we will derive the six full equations of motion in a non-rotating, Cartesian coordinate 2.1 Six equations of motion (non-rotating, Cartesian coordinates)

Chemistry. Lecture 10 Maxwell Relations. NC State University

Chemistry Lecture 10 Maxwell Relations NC State University Thermodynamic state functions expressed in differential form We have seen that the internal energy is conserved and depends on mechanical (dw)

Summary of the Equations of Fluid Dynamics

Reference: Summary of the Equations of Fluid Dynamics Fluid Mechanics, L.D. Landau & E.M. Lifshitz 1 Introduction Emission processes give us diagnostics with which to estimate important parameters, such

Relationships between WORK, HEAT, and ENERGY. Consider a force, F, acting on a block sliding on a frictionless surface

Introduction to Thermodynamics, Lecture 3-5 Prof. G. Ciccarelli (0) Relationships between WORK, HEAT, and ENERGY Consider a force, F, acting on a block sliding on a frictionless surface x x M F x FRICTIONLESS

Detailed Derivation of Fanno Flow Relationships

Detailed Derivation of Fanno Flow Relationships Matthew MacLean, Ph.D. Version. October 03 v. fixed a sign error on Eq. 5 ! My motivation for writing this note results from preparing course notes for the

Relationships between WORK, HEAT, and ENERGY. Consider a force, F, acting on a block sliding on a frictionless surface. x 2

Relationships between WORK, HEAT, and ENERGY Consider a force, F, acting on a block sliding on a frictionless surface x x M F x Frictionless surface M dv v dt M dv dt v F F F ; v mass velocity in x direction

To study the motion of a perfect gas, the conservation equations of continuity

Chapter 1 Ideal Gas Flow The Navier-Stokes equations To study the motion of a perfect gas, the conservation equations of continuity ρ + (ρ v = 0, (1.1 momentum ρ D v Dt = p+ τ +ρ f m, (1.2 and energy ρ

Lecture 5 Flusso Quasi-Mono-Dimensionale (forma

Lecture 5 Dimensionale forma Text: Motori Aeronautici Mar. 6, 2015 Dimensionale forma Mauro Valorani Univeristà La Sapienza 5.50 Agenda Dimensionale forma 1 quasi-monodimensionale 2 5.51 quasi-monodimensionale

Introduction 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

Introduction to Aerodynamics. Dr. Guven Aerospace Engineer (P.hD)

Introduction to Aerodynamics Dr. Guven Aerospace Engineer (P.hD) Aerodynamic Forces All aerodynamic forces are generated wither through pressure distribution or a shear stress distribution on a body. The

Enthalpy and Adiabatic Changes

Enthalpy and Adiabatic Changes Chapter 2 of Atkins: The First Law: Concepts Sections 2.5-2.6 of Atkins (7th & 8th editions) Enthalpy Definition of Enthalpy Measurement of Enthalpy Variation of Enthalpy

Applied Thermodynamics for Marine Systems Prof. P. K. Das Department of Mechanical Engineering Indian Institute of Technology, Kharagpur

Applied Thermodynamics for Marine Systems Prof. P. K. Das Department of Mechanical Engineering Indian Institute of Technology, Kharagpur Lecture - 8 Introduction to Vapour Power Cycle Today, we will continue

piston control surface

Lecture Thermodynamics 4 Enthalpy Consider a quasistatic hydrostatic constant pressure (isobaric) process weights piston, p gas Q control surface fi, p gas U -U 1 = Q +W = Q - Ú pdv = Q - p + p fi (U +

Thermodynamics: A Brief Introduction. Thermodynamics: A Brief Introduction

Brief review or introduction to Classical Thermodynamics Hopefully you remember this equation from chemistry. The Gibbs Free Energy (G) as related to enthalpy (H) and entropy (S) and temperature (T). Δ

vector H. If O is the point about which moments are desired, the angular moment about O is given:

The angular momentum A control volume analysis can be applied to the angular momentum, by letting B equal to angularmomentum vector H. If O is the point about which moments are desired, the angular moment

PV Thinking. What is PV thinking?

PV Thinking CH 06 What is PV thinking? Two main approaches to solving fluid flow problems:. We can integrate the momentum, continuity and thermodynamic equations (the primitive equations) directly.. In

CHAPTER 7 SEVERAL FORMS OF THE EQUATIONS OF MOTION

CHAPTER 7 SEVERAL FORMS OF THE EQUATIONS OF MOTION 7.1 THE NAVIER-STOKES EQUATIONS Under the assumption of a Newtonian stress-rate-of-strain constitutive equation and a linear, thermally conductive medium,

Thermodynamics is the Science of Energy and Entropy

Definition of Thermodynamics: Thermodynamics is the Science of Energy and Entropy - Some definitions. - The zeroth law. - Properties of pure substances. - Ideal gas law. - Entropy and the second law. Some

Introduction to Aerospace Engineering

Introduction to Aerospace Engineering Lecture slides Challenge the future 4-0-0 Introduction to Aerospace Engineering Aerodynamics 3 & 4 Prof. H. Bijl ir. N. Timmer Delft University of Technology Challenge

Engineering Thermodynamics. Chapter 6. Entropy: a measure of Disorder 6.1 Introduction

Engineering hermodynamics AAi Chapter 6 Entropy: a measure of Disorder 6. Introduction he second law of thermodynamics leads to the definition of a new property called entropy, a quantitative measure of

1. (10) Calorically perfect ideal air at 300 K, 100 kpa, 1000 m/s, is brought to rest isentropically. Determine its final temperature.

AME 5053 Intermediate Thermodynamics Examination Prof J M Powers 30 September 0 0 Calorically perfect ideal air at 300 K, 00 kpa, 000 m/s, is brought to rest isentropically Determine its final temperature

Lecture Notes 2014March 13 on Thermodynamics A. First Law: based upon conservation of energy

Dr. W. Pezzaglia Physics 8C, Spring 2014 Page 1 Lecture Notes 2014March 13 on Thermodynamics A. First Law: based upon conservation of energy 1. Work 1 Dr. W. Pezzaglia Physics 8C, Spring 2014 Page 2 (c)

PART 0 PRELUDE: REVIEW OF "UNIFIED ENGINEERING THERMODYNAMICS"

PART 0 PRELUDE: REVIEW OF "UNIFIED ENGINEERING THERMODYNAMICS" PART 0 - PRELUDE: REVIEW OF UNIFIED ENGINEERING THERMODYNAMICS [IAW pp -, 3-41 (see IAW for detailed SB&VW references); VN Chapter 1] 01 What

Appendix 4. Appendix 4A Heat Capacity of Ideal Gases

Appendix 4 W-143 Appendix 4A Heat Capacity of Ideal Gases We can determine the heat capacity from the energy content of materials as a function of temperature. The simplest material to model is an ideal

Thermodynamics ENGR360-MEP112 LECTURE 7

Thermodynamics ENGR360-MEP11 LECTURE 7 Thermodynamics ENGR360/MEP11 Objectives: 1. Conservation of mass principle.. Conservation of energy principle applied to control volumes (first law of thermodynamics).

NOTE: Only CHANGE in internal energy matters

The First Law of Thermodynamics The First Law of Thermodynamics is a special case of the Law of Conservation of Energy It takes into account changes in internal energy and energy transfers by heat and

8.21 The Physics of Energy Fall 2009

MIT OpenCourseWare http://ocw.mit.edu 8.21 The Physics of Energy Fall 2009 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms. 8.21 Lecture 9 Heat Engines

Thermodynamic Variables and Relations

MME 231: Lecture 10 Thermodynamic Variables and Relations A. K. M. B. Rashid Professor, Department of MME BUET, Dhaka Today s Topics Thermodynamic relations derived from the Laws of Thermodynamics Definitions

AA210A Fundamentals of Compressible Flow. Chapter 5 -The conservation equations

AA210A Fundamentals of Compressible Flow Chapter 5 -The conservation equations 1 5.1 Leibniz rule for differentiation of integrals Differentiation under the integral sign. According to the fundamental

HIGH SPEED GAS DYNAMICS HINCHEY

HIGH SPEED GAS DYNAMICS HINCHEY MACH WAVES Mach Number is the speed of something divided by the local speed of sound. When an infinitesimal disturbance moves at a steady speed, at each instant in time

Introduction to Turbomachinery

1. Coordinate System Introduction to Turbomachinery Since there are stationary and rotating blades in turbomachines, they tend to form a cylindrical form, represented in three directions; 1. Axial 2. Radial

Review of First and Second Law of Thermodynamics

Review of First and Second Law of Thermodynamics Reading Problems 4-1 4-4 4-32, 4-36, 4-87, 4-246 5-2 5-4, 5.7 6-1 6-13 6-122, 6-127, 6-130 Definitions SYSTEM: any specified collection of matter under

4 Compressible Fluid Dynamics

4 Compressible Fluid Dynamics 4. Compressible flow definitions Compressible flow describes the behaviour of fluids that experience significant variations in density under the application of external pressures.

- Apply closed system energy balances, observe sign convention for work and heat transfer.

CHAPTER : ENERGY AND THE FIRST LAW OF THERMODYNAMICS Objectives: - In this chapter we discuss energy and develop equations for applying the principle of conservation of energy. Learning Outcomes: - Demonstrate

Turbomachinery & Turbulence. Lecture 2: One dimensional thermodynamics.

Turbomachinery & Turbulence. Lecture 2: One dimensional thermodynamics. F. Ravelet Laboratoire DynFluid, Arts et Metiers-ParisTech February 3, 2016 Control volume Global balance equations in open systems

MME 2010 METALLURGICAL THERMODYNAMICS II. Fundamentals of Thermodynamics for Systems of Constant Composition

MME 2010 METALLURGICAL THERMODYNAMICS II Fundamentals of Thermodynamics for Systems of Constant Composition Thermodynamics addresses two types of problems: 1- Computation of energy difference between two

Isentropic Flow. Gas Dynamics

Isentropic Flow Agenda Introduction Derivation Stagnation properties IF in a converging and converging-diverging nozzle Application Introduction Consider a gas in horizontal sealed cylinder with a piston

Lecture 5. PHYC 161 Fall 2016

Lecture 5 PHYC 161 Fall 2016 Ch. 19 First Law of Thermodynamics In a thermodynamic process, changes occur in the state of the system. Careful of signs! Q is positive when heat flows into a system. W is

Consequences of Second Law of Thermodynamics. Entropy. Clausius Inequity

onsequences of Second Law of hermodynamics Dr. Md. Zahurul Haq Professor Department of Mechanical Engineering Bangladesh University of Engineering & echnology BUE Dhaka-000, Bangladesh zahurul@me.buet.ac.bd

More Thermodynamics. Specific Specific Heats of a Gas Equipartition of Energy Reversible and Irreversible Processes

More Thermodynamics Specific Specific Heats of a Gas Equipartition of Energy Reversible and Irreversible Processes Carnot Cycle Efficiency of Engines Entropy More Thermodynamics 1 Specific Heat of Gases

UNIVERSITY OF SOUTHAMPTON VERY IMPORTANT NOTE. Section A answers MUST BE in a separate blue answer book. If any blue

UNIVERSITY OF SOUTHAMPTON PHYS1013W1 SEMESTER 2 EXAMINATION 2011/12 ENERGY AND MATTER SOLUTIONS Duration: 120 MINS VERY IMPORTANT NOTE Section A answers MUST BE in a separate blue answer book. If any blue

Lecture 7, 8 and 9 : Thermodynamic process by: Asst. lect. Karrar Al-Mansoori CONTENTS. 7) Thermodynamic process, path and cycle 2

CONTENTS Topics pages 7) Thermodynamic process, path and cycle 8) Reversibility and irreversibility 4 9) Thermodynamic processes and calculation of work 5 9.: Constant pressure process or isobaric process

Introduction. In general, gases are highly compressible and liquids have a very low compressibility. COMPRESSIBLE FLOW

COMRESSIBLE FLOW COMRESSIBLE FLOW Introduction he compressibility of a fluid is, basically, a measure of the change in density that will be produced in the fluid by a specific change in pressure and temperature.

Thermodynamics of phase transitions

Thermodynamics of phase transitions Katarzyna Sznajd-Weron Department of Theoretical of Physics Wroc law University of Science and Technology, Poland March 12, 2017 Katarzyna Sznajd-Weron (WUST) Thermodynamics

The goal of thermodynamics is to understand how heat can be converted to work. Not all the heat energy can be converted to mechanical energy

Thermodynamics The goal of thermodynamics is to understand how heat can be converted to work Main lesson: Not all the heat energy can be converted to mechanical energy This is because heat energy comes

Previous lecture. Today lecture

Previous lecture ds relations (derive from steady energy balance) Gibb s equations Entropy change in liquid and solid Equations of & v, & P, and P & for steady isentropic process of ideal gas Isentropic

Aerodynamics. Basic Aerodynamics. Continuity equation (mass conserved) Some thermodynamics. Energy equation (energy conserved)

Flow with no friction (inviscid) Aerodynamics Basic Aerodynamics Continuity equation (mass conserved) Flow with friction (viscous) Momentum equation (F = ma) 1. Euler s equation 2. Bernoulli s equation

Chapter 7. Entropy. by Asst.Prof. Dr.Woranee Paengjuntuek and Asst. Prof. Dr.Worarattana Pattaraprakorn

Chapter 7 Entropy by Asst.Prof. Dr.Woranee Paengjuntuek and Asst. Prof. Dr.Worarattana Pattaraprakorn Reference: Cengel, Yunus A. and Michael A. Boles, Thermodynamics: An Engineering Approach, 5th ed.,

ESCI 341 Atmospheric Thermodynamics Lesson 12 The Energy Minimum Principle

ESCI 341 Atmospheric Thermodynamics Lesson 12 The Energy Minimum Principle References: Thermodynamics and an Introduction to Thermostatistics, Callen Physical Chemistry, Levine THE ENTROPY MAXIMUM PRINCIPLE

Introduction to Aerospace Engineering

Introduction to Aerospace Engineering Lecture slides Challenge the future 3-0-0 Introduction to Aerospace Engineering Aerodynamics 5 & 6 Prof. H. Bijl ir. N. Timmer Delft University of Technology 5. Compressibility

Thermodynamics part III.

Thermodynamics part III. a.) Fenomenological thermodynamics macroscopic description b.) Molecular thermodynamics microscopic description b1.) kinetical gas theory b2.) statistical thermodynamics Laws of

1 One-dimensional analysis

One-dimensional analysis. Introduction The simplest models for gas liquid flow systems are ones for which the velocity is uniform over a cross-section and unidirectional. This includes flows in a long

FLUID MECHANICS. Chapter 3 Elementary Fluid Dynamics - The Bernoulli Equation

FLUID MECHANICS Chapter 3 Elementary Fluid Dynamics - The Bernoulli Equation CHAP 3. ELEMENTARY FLUID DYNAMICS - THE BERNOULLI EQUATION CONTENTS 3. Newton s Second Law 3. F = ma along a Streamline 3.3

T098. c Dr. Md. Zahurul Haq (BUET) First Law of Thermodynamics ME 201 (2012) 2 / 26

Conservation of Energy for a Closed System Dr. Md. Zahurul Haq Professor Department of Mechanical Engineering Bangladesh University of Engineering & Technology (BUET Dhaka-, Bangladesh zahurul@me.buet.ac.bd

Classical thermodynamics

Classical thermodynamics More about irreversibility chap. 6 Isentropic expansion of an ideal gas Sudden expansion of a gas into vacuum cf Kittel and Kroemer end of Cyclic engines cf Kittel and Kroemer

Chapter 3. Property Relations The essence of macroscopic thermodynamics Dependence of U, H, S, G, and F on T, P, V, etc.

Chapter 3 Property Relations The essence of macroscopic thermodynamics Dependence of U, H, S, G, and F on T, P, V, etc. Concepts Energy functions F and G Chemical potential, µ Partial Molar properties

IV. Compressible flow of inviscid fluids

IV. Compressible flow of inviscid fluids Governing equations for n = 0, r const: + (u )=0 t u + ( u ) u= p t De e = + ( u ) e= p u+ ( k T ) Dt t p= p(, T ), e=e (,T ) Alternate forms of energy equation

CHAPTER 7 ENTROPY. Copyright Hany A. Al-Ansary and S. I. Abdel-Khalik (2014) 1

CHAPTER 7 ENTROPY S. I. Abdel-Khalik (2014) 1 ENTROPY The Clausius Inequality The Clausius inequality states that for for all cycles, reversible or irreversible, engines or refrigerators: For internally-reversible

Introduction to Fluid Mechanics

Introduction to Fluid Mechanics Tien-Tsan Shieh April 16, 2009 What is a Fluid? The key distinction between a fluid and a solid lies in the mode of resistance to change of shape. The fluid, unlike the

ADIABATIC PROCESS Q = 0

THE KINETIC THEORY OF GASES Mono-atomic Fig.1 1 3 Average kinetic energy of a single particle Fig.2 INTERNAL ENERGY U and EQUATION OF STATE For a mono-atomic gas, we will assume that the total energy

Introduction & Basic Concepts of Thermodynamics

Introduction & Basic Concepts of Thermodynamics Reading Problems 2-1 2-8 2-53, 2-67, 2-85, 2-96 Introduction to Thermal Sciences Thermodynamics Conservation of mass Conservation of energy Second law of

ENT 254: Applied Thermodynamics

ENT 54: Applied Thermodynamics Mr. Azizul bin Mohamad Mechanical Engineering Program School of Mechatronic Engineering Universiti Malaysia Perlis (UniMAP) azizul@unimap.edu.my 019-4747351 04-9798679 Chapter

Modeling and Analysis of Dynamic Systems

Modeling and Analysis of Dynamic Systems Dr. Guillaume Ducard Fall 2017 Institute for Dynamic Systems and Control ETH Zurich, Switzerland G. Ducard c 1 / 34 Outline 1 Lecture 7: Recall on Thermodynamics

On Fluid Maxwell Equations

On Fluid Maxwell Equations Tsutomu Kambe, (Former Professor, Physics), University of Tokyo, Abstract Fluid mechanics is a field theory of Newtonian mechanics of Galilean symmetry, concerned with fluid

Notes 4: Differential Form of the Conservation Equations

Low Speed Aerodynamics Notes 4: Differential Form of the Conservation Equations Deriving Conservation Equations From the Laws of Physics Physical Laws Fluids, being matter, must obey the laws of Physics.

AAE COMBUSTION AND THERMOCHEMISTRY

5. COMBUSTIO AD THERMOCHEMISTRY Ch5 1 Overview Definition & mathematical determination of chemical equilibrium, Definition/determination of adiabatic flame temperature, Prediction of composition and temperature

(Heat capacity c is also called specific heat) this means that the heat capacity number c for water is 1 calorie/gram-k.

Lecture 23: Ideal Gas Law and The First Law of Thermodynamics 1 (REVIEW) Chapter 17: Heat Transfer Origin of the calorie unit A few hundred years ago when people were investigating heat and temperature

Angular momentum equation

Angular momentum equation For angular momentum equation, B =H O the angular momentum vector about point O which moments are desired. Where β is The Reynolds transport equation can be written as follows:

Chapter 3 First Law of Thermodynamics and Energy Equation

Fundamentals of Thermodynamics Chapter 3 First Law of Thermodynamics and Energy Equation Prof. Siyoung Jeong Thermodynamics I MEE0-0 Spring 04 Thermal Engineering Lab. 3. The energy equation Thermal Engineering

ME Thermodynamics I

Homework - Week 01 HW-01 (25 points) Given: 5 Schematic of the solar cell/solar panel Find: 5 Identify the system and the heat/work interactions associated with it. Show the direction of the interactions.

MATTER TRANSPORT (CONTINUED)

MATTER TRANSPORT (CONTINUED) There seem to be two ways to identify the effort variable for mass flow gradient of the energy function with respect to mass is matter potential, µ (molar) specific Gibbs free

The conservation equations

Chapter 5 The conservation equations 5.1 Leibniz rule for di erentiation of integrals 5.1.1 Di erentiation under the integral sign According to the fundamental theorem of calculus if f is a smooth function

First Law of Thermodynamics

First Law of Thermodynamics E int = Q + W other state variables E int is a state variable, so only depends on condition (P, V, T, ) of system. Therefore, E int only depends on initial and final states

Tutorial Materials for ME 131B Fluid Mechanics (Compressible Flow & Turbomachinery) Calvin Lui Department of Mechanical Engineering Stanford University Stanford, CA 94305 March 1998 Acknowledgments This

Turbomachinery. Hasan Ozcan Assistant Professor. Mechanical Engineering Department Faculty of Engineering Karabuk University

Turbomachinery Hasan Ozcan Assistant Professor Mechanical Engineering Department Faculty of Engineering Karabuk University Introduction Hasan Ozcan, Ph.D, (Assistant Professor) B.Sc :Erciyes University,

Chapter 6: Momentum Analysis

6-1 Introduction 6-2Newton s Law and Conservation of Momentum 6-3 Choosing a Control Volume 6-4 Forces Acting on a Control Volume 6-5Linear Momentum Equation 6-6 Angular Momentum 6-7 The Second Law of

Entropy and the Second Law of Thermodynamics

Entropy and the Second Law of hermodynamics Reading Problems 6-, 6-2, 6-7, 6-8, 6-6-8, 6-87, 7-7-0, 7-2, 7-3 7-39, 7-46, 7-6, 7-89, 7-, 7-22, 7-24, 7-30, 7-55, 7-58 Why do we need another law in thermodynamics?

Compressible Flow - TME085

Compressible Flow - TME085 Lecture 13 Niklas Andersson Chalmers University of Technology Department of Mechanics and Maritime Sciences Division of Fluid Mechanics Gothenburg, Sweden niklas.andersson@chalmers.se

Honors Physics. Notes Nov 16, 20 Heat. Persans 1

Honors Physics Notes Nov 16, 20 Heat Persans 1 Properties of solids Persans 2 Persans 3 Vibrations of atoms in crystalline solids Assuming only nearest neighbor interactions (+Hooke's law) F = C( u! u

Chapter 2. Energy and the First Law of Thermodynamics

Chapter 2 Energy and the First Law of Thermodynamics Closed System Energy Balance Energy is an extensive property that includes the kinetic and gravitational potential energy of engineering mechanics.

Lecture 3 Evaluation of Entropy

Lecture 3 Evaluation of Entropy If we wish to designate S by a proper name we can say of it that it is the transformation content of the body, in the same way that we say of the quantity U that it is the

WHY SHOULD WE CARE ABOUT THERMAL PHENOMENA? they can profoundly influence dynamic behavior. MECHANICS.

WORK-TO-HEAT TRANSDUCTION IN THERMO-FLUID SYSTEMS ENERGY-BASED MODELING IS BUILT ON THERMODYNAMICS the fundamental science of physical processes. THERMODYNAMICS IS TO PHYSICAL SYSTEM DYNAMICS WHAT GEOMETRY

Stellar structure Conservation of mass Conservation of energy Equation of hydrostatic equilibrium Equation of energy transport Equation of state

Stellar structure For an isolated, static, spherically symmetric star, four basic laws / equations needed to describe structure: Conservation of mass Conservation of energy (at each radius, the change

Physical Biochemistry. Kwan Hee Lee, Ph.D. Handong Global University

Physical Biochemistry Kwan Hee Lee, Ph.D. Handong Global University Week 3 CHAPTER 2 The Second Law: Entropy of the Universe increases What is entropy Definition: measure of disorder The greater the disorder,

dv = adx, where a is the active area of the piston. In equilibrium, the external force F is related to pressure P as

Chapter 3 Work, heat and the first law of thermodynamics 3.1 Mechanical work Mechanical work is defined as an energy transfer to the system through the change of an external parameter. Work is the only

Consequences of Second Law of Thermodynamics. Entropy. Clausius Inequity

onsequences of Second Law of hermodynamics Dr. Md. Zahurul Haq Professor Department of Mechanical Engineering Bangladesh University of Engineering & echnology BUE Dhaka-000, Bangladesh zahurul@me.buet.ac.bd

Compressible Flow - TME085

Compressible Flow - TME085 Lecture 14 Niklas Andersson Chalmers University of Technology Department of Mechanics and Maritime Sciences Division of Fluid Mechanics Gothenburg, Sweden niklas.andersson@chalmers.se

Chapter 6. Using Entropy

Chapter 6 Using Entropy Learning Outcomes Demonstrate understanding of key concepts related to entropy and the second law... including entropy transfer, entropy production, and the increase in entropy

In this section, mathematical description of the motion of fluid elements moving in a flow field is

Jun. 05, 015 Chapter 6. Differential Analysis of Fluid Flow 6.1 Fluid Element Kinematics In this section, mathematical description of the motion of fluid elements moving in a flow field is given. A small

Notes #4a MAE 533, Fluid Mechanics

Notes #4a MAE 533, Fluid Mechanics S. H. Lam lam@princeton.edu http://www.princeton.edu/ lam October 23, 1998 1 The One-dimensional Continuity Equation The one-dimensional steady flow continuity equation

CHAPTER 2 ENERGY INTERACTION (HEAT AND WORK)

CHATER ENERGY INTERACTION (HEAT AND WORK) Energy can cross the boundary of a closed system in two ways: Heat and Work. WORK The work is done by a force as it acts upon a body moving in direction of force.

Chapter 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