Fundamentals of Heat Engines

Fundamentals of Heat Engines
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Summarizes the analysis and design of today’s gas heat engine cycles This book offers readers comprehensive coverage of heat engine cycles. From ideal (theoretical) cycles to practical cycles and real cycles, it gradually increases in degree of complexity so that newcomers can learn and advance at a logical pace, and so instructors can tailor their courses toward each class level. To facilitate the transition from one type of cycle to another, it offers readers additional material covering fundamental engineering science principles in mechanics, fluid mechanics, thermodynamics, and thermochemistry. Fundamentals of Heat Engines: Reciprocating and Gas Turbine Internal-Combustion Engines begins with a review of some fundamental principles of engineering science, before covering a wide range of topics on thermochemistry. It next discusses theoretical aspects of the reciprocating piston engine, starting with simple air-standard cycles, followed by theoretical cycles of forced induction engines, and ending with more realistic cycles that can be used to predict engine performance as a first approximation. Lastly, the book looks at gas turbines and covers cycles with gradually increasing complexity to end with realistic engine design-point and off-design calculations methods. Covers two main heat engines in one single reference Teaches heat engine fundamentals as well as advanced topics Includes comprehensive thermodynamic and thermochemistry data Offers customizable content to suit beginner or advanced undergraduate courses and entry-level postgraduate studies in automotive, mechanical, and aerospace degrees Provides representative problems at the end of most chapters, along with a detailed example of piston-engine design-point calculations Features case studies of design-point calculations of gas turbine engines in two chapters Fundamentals of Heat Engines can be adopted for mechanical, aerospace, and automotive engineering courses at different levels and will also benefit engineering professionals in those fields and beyond.

Оглавление

Jamil Ghojel. Fundamentals of Heat Engines

Table of Contents

List of Tables

List of Illustrations

Guide

Pages

Wiley-ASME Press Series

Fundamentals of Heat Engines

Copyright

Series Preface

Preface

Glossary. Symbols

Greek Symbols

Subscripts

Superscripts

Abbreviations

About the Companion Website

Part I. Fundamentals of Engineering Science. Introduction I: Role of Engineering Science

1 Review of Basic Principles. 1.1 Engineering Mechanics

1.1.1 Definitions

1.1.2 Newton's Laws of Motion

1.1.3 Rectilinear Work and Energy

1.1.4 Circular Motion

1.1.4.1 Uniform Circular Motion of a Particle

1.1.5 Rotating Rigid‐Body Kinetics

1.1.6 Moment, Couple, and Torque

1.1.7 Accelerated and Decelerated Shafts

1.1.8 Angular Momentum (Moment of Momentum)

1.1.9 Rotational Work, Power, and Kinetic Energy

1.2 Fluid Mechanics

1.2.1 Fluid Properties. 1.2.1.1 Mass and Weight

1.2.1.2 Pressure

1.2.1.3 Compressibility

1.2.1.4 Viscosity

1.2.2 Fluid Flow

1.2.2.1 General Energy Equation

1.2.3 Acoustic Velocity (Speed of Sound)

1.2.4 Similitude and Dimensional Analysis

1.2.4.1 Dimensional Analysis

1.2.4.2 Buckingham Pi (π) Theorem

1.3 Thermodynamics

1.3.1 Work and Heat as Different Forms of Energy

1.3.2 Mixture of Gases

Example 1.1

Solution

1.3.2.1 Dalton Model of Gas Mixtures

1.3.3 Processes in Ideal Gas Systems

1.3.3.1 Adiabatic Processes

1.3.3.2 Heat‐Only Process

1.3.3.3 Isothermal Process

1.3.3.4 Isochoric Process

1.3.3.5 Polytropic Process

1.3.4 Cycles

1.3.5 First Law of Thermodynamics

1.3.5.1 Non‐Flow Energy Equation

1.3.5.2 Steady‐Flow Energy Equation

1.3.5.3 Stagnation Properties

1.3.5.4 Isentropic Flow

1.3.5.5 Speed Parameter

1.3.5.6 Mass Flow Parameter

1.3.5.7 Applications of the Energy Equation

1.3.6 Second Law of Thermodynamics

1.3.6.1 Entropy

1.3.7 The Carnot Principle

1.3.8 Zeroth Law of Thermodynamics

1.3.8.1 Thermodynamic Scale of Temperature

1.3.9 Third Law of Thermodynamics

Problems. Engineering Mechanics

Fluid Mechanics

Thermodynamics

2 Thermodynamics of Reactive Mixtures

2.1 Fuels

2.2 Stoichiometry

2.3 Chemical Reactions. 2.3.1 Fuels Having a Single Chemical Formula

2.3.2 Multi‐Component Gaseous Fuels

Example 2.1

2.3.3 Fuels with Known Mass Concentration of the Constituent Elements

2.3.3.1 Air‐Fuel Ratios

2.3.3.2 Products of Complete Combustion (λ ≥ 1)

2.3.3.3 Products of Incomplete Combustion (λ< 1)

Example 2.2

2.4 Thermodynamic Properties of the Combustion Products

2.5 First Law Analysis of Reacting Mixtures

2.5.1 Non‐Flow Process with Chemical Reactions

2.5.2 Steady‐State System with Chemical Reactions. 2.5.2.1 Enthalpy of Formation

2.5.2.2 Enthalpy of Reaction

Example 2.3

2.6 Adiabatic Flame Temperature. 2.6.1 Steady‐State Process

Example 2.4

Solution

2.6.2 Constant‐Volume Combustion Process

2.7 Entropy Change in Reacting Mixtures. 2.7.1 Absolute Entropy

2.8 Second Law Analysis of Reacting Mixtures

Example 2.5

2.9 Chemical and Phase Equilibrium

2.9.1 Gibbs and Helmholtz Functions and Equilibrium

2.9.2 Equilibrium Constant

2.9.2.1 Equilibrium Constant of Formation

2.9.3 Dissociation and Equilibrium Composition

2.10 Multi‐Species Equilibrium Composition of Combustion Products. 2.10.1 Frozen Composition

2.10.2 Equilibrium Composition

2.10.2.1 Six Species in the Products

2.10.2.2 Eleven Species in the Products

2.10.2.3 Eighteen Species in the Products

Problems

Part II. Reciprocating Internal Combustion Engines. Introduction II: History and Classification of Reciprocating Internal Combustion Engines

3 Ideal Cycles for Natural‐Induction Reciprocating Engines

3.1 Generalised Cycle

3.2 Constant‐Volume Cycle (Otto Cycle)

3.3 Constant Pressure (Diesel) Cycle

3.4 Dual Cycle (Pressure‐Limited Cycle)

3.5 Cycle Comparison

Problems

4 Ideal Cycles for Forced‐Induction Reciprocating Engines

4.1 Turbocharged Cycles

4.1.1 Turbocharged Engine with Constant‐Pressure Turbine

4.1.1.1 Thermal Efficiency

4.1.1.2 Mean Effective Pressure

4.1.2 Turbocharged Engine with Variable‐Pressure Turbine

4.1.2.1 Thermal Efficiency

4.1.2.2 Mean Effective Pressure

4.2 Supercharged Cycles

4.2.1 Thermal Efficiency

4.2.2 Mean Effective Pressure

4.3 Forced Induction Cycles with Intercooling

4.3.1 Cycle with Constant‐Pressure Turbine and Intercooling

4.3.1.1 Cooling Process

4.3.1.2 Thermal Efficiency

4.3.1.3 Mean Effective Pressure

4.3.2 Cycle with Variable‐Pressure Turbocharging and Intercooling

4.3.2.1 Cooling Process

4.3.2.2 Thermal Efficiency

4.3.2.3 Mean Effective Pressure

4.3.3 Cycle with Supercharging and Intercooling

4.3.3.1 Cooling Process

4.3.3.2 Thermal Efficiency

4.3.3.3 Mean Effective Pressure

4.4 Comparison of Boosted Cycles

Problems

5 Fuel‐Air Cycles for Reciprocating Engines

5.1 Fuel‐Air Cycle Assumptions

5.2 Compression Process

5.3 Combustion Process

Example 5.1

5.3.1 Constant‐Volume Combustion Cycle (Otto Cycle)

5.3.2 Constant‐Pressure Cycle (Diesel Cycle)

5.4 Expansion Process

5.5 Mean Effective Pressure

5.6 Cycle Comparison

Problems

6 Practical Cycles for Reciprocating Engines

6.1 Four‐Stroke Engine

6.1.1 The Induction Process a − b − c − d − e

6.1.2 The Compression Process e − f

6.1.3 The Combustion and Expansion Processes f − g − h − i

6.1.4 The Exhaust Process i − j − a − b − c

6.2 Two‐Stroke Engine

6.2.1 Compression Processes 5 − 1

6.2.2 Combustion and Expansion Processes 1 − b − c − 2

6.2.3 Exhaust and Induction Processes 2 − 3 − a − 4 − 5

6.3 Practical Cycles for Four‐Stroke Engines

6.3.1 Compression Ignition Engine (CI Engine)

6.3.1.1 Induction Process

6.3.1.2 Compression Process

6.3.1.3 Combustion Process

6.3.1.4 The Expansion Process

6.3.1.5 Cycle Work and Mean Effective Pressure

6.3.2 Spark Ignition Engine (SI Engine)

6.3.2.1 Combustion Process

6.3.2.2 Expansion Process

6.3.2.3 Cycle Work and Mean Effective Pressure

6.3.3 Constant‐Pressure Combustion Engine

6.3.3.1 Combustion Process

6.3.3.2 Expansion Process

6.3.3.3 Cycle Work and Mean Effective Pressure

6.4 Cycle Comparison

6.5 Cycles Based on Combustion Modelling (Wiebe Function)

6.5.1 The Wiebe Function

6.5.2 Cycle Calculation Using Wiebe Function

6.6 Example of Wiebe Function Application

6.6.1 SI Engine

6.6.2 CI Engine

6.7 Double Wiebe Models

6.7.1 Rapid Combustion Phase

6.7.2 Diffusion Phase

6.8 Computer‐Aided Engine Simulation

Problems

7 Work‐Transfer System in Reciprocating Engines

7.1 Kinematics of the Piston‐Crank Mechanism

7.2 Dynamics of the Reciprocating Mechanism

7.2.1 Mass‐Distribution Scheme

7.2.1.1 Masses at the Piston Pin

7.2.1.2 Masses at the Crank Pin

7.2.2 Forces Acting on the Reciprocating Mechanism

7.2.2.1 Forces Acting on the Piston Pin

7.2.2.2 Forces Acting on the Crank Pin

7.2.2.3 Forces and Moments Acting on the Crankshaft Supports at Point O

7.2.2.4 Resultant Forces Acting on the Crank Pin

7.2.2.5 Polar Diagram

7.2.2.6 Resultant Forces Acting on the Crankshaft Bearing Journals

7.3 Multi‐Cylinder Engines

7.3.1 Torque in Multi‐Cylinder Engines

7.3.1.1 Torque Uniformity Factor (TUF)

7.3.2 Engine‐Speed Fluctuations

7.4 Engine Balancing

7.4.1 Single‐Cylinder Engine

7.4.2 Multi‐Cylinder Engines

7.4.2.1 Two‐Cylinder Inline Engine

7.4.2.2 Two‐Cylinder V‐Engine

7.4.2.3 Balancing an Eight‐Cylinder V‐Engine

7.4.2.3.1 Second‐Order Inertial Forces

7.4.2.3.2 First Order Inertial Forces

7.4.2.3.3 Rotating (Centrifugal) Inertial Forces

7.4.2.4 Other Engine Configurations

Problems

8 Reciprocating Engine Performance Characteristics. 8.1 Indicator Diagrams

8.2 Indicated Parameters

8.2.1 Indicated Work

8.2.2 Indicated Power

8.2.3 Indicated Specific Fuel Consumption

8.2.4 Indicated Efficiency

8.2.5 Indicated Mean Effective Pressure

8.2.6 Indicated Power

8.3 Brake Parameters

8.3.1 Brake‐Specific Fuel Consumption

8.3.2 Brake Efficiency

8.3.3 Brake Mean Effective Pressure

8.3.4 Brake Power

8.4 Engine Design Point and Performance

8.4.1 Design Point Calculations

8.4.2 Engine Performance Characteristics

8.5 Off‐Design Performance

8.5.1 Speed Characteristics

8.5.2 Load Characteristics

8.5.2.1 SI Engines

8.5.2.2 CI Engines

Problems

Part III. Gas Turbine Internal Combustion Engines. Introduction III: History and Classification of Gas Turbines

9 Air‐Standard Gas Turbine Cycles

9.1 Joule‐Brayton Ideal Cycle

9.2 Cycle with Heat Exchange (Regeneration)

9.3 Cycle with Reheat

9.4 Cycle with Intercooling

9.5 Cycle with Heat Exchange and Reheat

9.6 Cycle with Heat Exchange and Intercooling

9.7 Cycle with Heat Exchange, Reheat, and Intercooling

9.8 Cycle Comparison

Problems

10 Irreversible Air‐Standard Gas Turbine Cycles

10.1 Component Efficiencies. 10.1.1 Compressor Isentropic Efficiency

10.1.2 Turbine Isentropic Efficiency

10.1.3 Polytropic (Small‐Stage) Compressor Efficiency

10.1.4 Polytropic (Small‐Stage) Turbine Efficiency

10.2 Simple Irreversible Cycle

10.3 Irreversible Cycle with Heat Exchange (Regenerative Irreversible Cycle)

10.4 Irreversible Cycle with Reheat

10.5 Irreversible Cycle with Intercooling

10.6 Irreversible Cycle with Heat Exchange and Reheat

10.7 Irreversible Cycle with Heat Exchange and Intercooling

10.8 Irreversible Cycle with Heat Exchange, Reheat, and Intercooling

10.9 Comparison of Irreversible Cycles

Problems

11 Practical Gas Turbine Cycles

11.1 Simple Single‐Shaft Gas Turbine

11.2 Thermodynamic Properties of Air

11.3 Compression Process in the Compressor

11.3.1 Power to Drive the Compressor

11.4 Combustion Process

11.4.1 Combustion Chamber Design

11.4.2 Thermodynamic Properties of the Combustion Products

11.4.3 Combustion Temperature

11.4.3.1 Method 1

11.4.3.2 Method 2

11.4.3.3 Method 3

11.4.3.4 Method 4

11.4.4 Effect of Dissociation on the Combustion Temperature

11.5 Expansion Process in the Turbine

11.5.1 Total Turbine Power

11.5.2 Specific Fuel Consumption

11.5.3 Cycle Thermodynamic Efficiency

Problems

12 Design‐Point Calculations of Aviation Gas Turbines

12.1 Properties of Air

12.1.1 International Standard Atmosphere (ISA)

12.1.2 Stagnation Properties

12.2 Simple Turbojet Engine

12.2.1 Intake (Diffuser)

12.2.2 Compressor

12.2.3 Combustion Chamber

12.2.4 Turbine

12.2.5 Nozzle

12.2.5.1 Sonic Flow

12.2.5.2 Subsonic Flow

12.2.6 Engine Performance

12.3 Performance of Turbojet Engine – Case Study

12.3.1 Performance Maps

12.3.2 Effect of Flight Mach Number

12.3.3 Effect of Flight Altitude

12.4 Two‐Spool Unmixed‐Flow Turbofan Engine

12.4.1 Design‐Point Calculations of the Core Engine

12.4.1.1 Bypass Ratio

12.4.1.2 Intake

12.4.1.3 Fan

12.4.1.4 Compressor

12.4.1.5 Combustion Chamber

12.4.1.6 Compressor Turbine (High‐Pressure Turbine)

12.4.1.7 Low‐Pressure Turbine

12.4.1.8 Hot Nozzle

12.4.1.9 Sonic Flow in the Hot Nozzle (Nozzle Choked)

12.4.1.10 Subsonic Flow in the Hot Nozzle (Nozzle Unchoked)

12.4.2 Design‐Point Calculations of the Engine Bypass Section

12.4.2.1 Intake and Fan

12.4.2.2 Cold Nozzle

12.5 Performance of Two‐Spool Unmixed‐Flow Turbofan Engine – Case Study

12.6 Two‐Spool Mixed‐Flow Turbofan Engine

12.6.1 Design‐Point Calculations of Engine Core

12.6.1.1 Intake

12.6.1.2 Fan

12.6.1.3 Compressor

12.6.1.4 Combustion Chamber

12.6.1.5 Compressor Turbine (High‐Pressure Turbine)

12.6.1.6 Low‐Pressure Turbine

12.6.2 Design‐Point Calculations of Bypass Section

12.6.2.1 Intake

12.6.2.2 Fan

12.6.2.3 Bypass Duct (Cold Jet Tube)

12.6.3 Mixer. 12.6.3.1 Assumptions

12.6.3.2 Governing Equations

12.6.3.3 Computational Procedure

12.6.4 Propelling Nozzle

12.6.4.1 Sonic Flow in the Propelling Nozzle (Nozzle Choked)

12.6.4.2 Subsonic Flow in the Hot Nozzle (Nozzle Unchoked)

12.7 Performance of Two‐Spool Mixed‐Flow Turbofan Engine – Case Study

Problems

13 Design‐Point Calculations of Industrial Gas Turbines

13.1 Single‐Shaft Gas Turbine Engine

13.1.1 Design‐Point Calculations

13.1.1.1 Compressor

13.1.1.2 Combustion Chamber

13.1.1.3 Turbine

13.1.1.4 Specific Fuel Consumption

13.1.1.5 Cycle Thermodynamic Efficiency

13.2 Performance of Single‐Shaft Gas Turbine Engine – Case Study

13.2.1 In Terms of Relative Air‐Fuel Ratio λ

13.2.2 In Terms of Cycle Maximum Temperature T3

13.2.3 Comparison with Practical Cycles

13.3 Two‐Shaft Gas Turbine Engine

13.3.1 Design‐Point Calculations

13.3.1.1 Mechanical Efficiency of the Gas Generator

13.3.1.2 Temperature Equivalents of the Compressor Work

13.3.1.3 Pressure Losses

13.3.1.4 Temperature Drop in the Compressor Turbine

13.3.1.5 Temperature Equivalent of the Power‐Turbine Work

13.3.1.6 Specific Fuel Consumption

13.3.1.7 Cycle Thermal Efficiency

13.4 Performance of Two‐Shaft Gas Turbine Engine – Case Study

13.4.1 In Terms of Relative Air‐Fuel Ratio λ

13.4.2 In Terms of Cycle Maximum Temperature T3

Problems

14 Work‐Transfer System in Gas Turbines

14.1 Axial‐Flow Compressors

14.1.1 Input Power

14.1.2 Degree of Reaction D

14.1.3 Compressor Performance Characteristics

14.2 Radial‐Flow Compressors

14.2.1 Radial‐Flow Compressor Characteristics

14.3 Axial‐Flow Turbines

14.3.1 Velocity Diagrams

14.3.2 Stage Output Power

14.3.3 Multistage Turbine Output Power

14.3.4 Blade Profile

14.3.5 Degree of Reaction

14.3.5.1 Degree of Reaction in Terms of Fluid Velocities

14.3.5.2 Degree of Reaction in Terms of Blade Characteristics

14.3.6 Utilisation Factor (Diagram Efficiency)

14.3.7 Axial Turbine Coefficients

14.3.8 Axial‐Flow Turbine Performance Characteristics

14.4 Radial‐Flow Turbines

14.4.1 Turbine Design

14.4.2 Turbine Characteristics

Problems

15 Off‐Design Performance of Gas Turbines

15.1 Component‐Matching Method

15.1.1 Off‐Design Performance of Single‐Shaft Gas Turbine

15.1.1.1 Calculation Procedure

15.1.1.2 Propeller Load

15.1.1.3 Electric Generator

15.1.2 Off‐Design Performance of Two‐Shaft Gas Turbine (Free‐Turbine Engine)

15.1.2.1 Power Turbine Output

15.1.3 Off‐Design Performance of Turbojet Engine

15.1.3.1 Converging Nozzle

15.1.3.2 Intake Duct

15.1.3.3 Matching the Gas Generator and Nozzle

15.1.3.4 Thrust Calculation

15.2 Thermo‐Gas‐Dynamic Matching Method

15.2.1 Single‐Shaft Gas Turbine

15.2.1.1 Compressor

15.2.1.2 Combustion Chamber

15.2.1.3 Compressor Turbine

15.2.1.4 Flow Compatibility

15.2.1.5 Solution Procedure

15.2.1.6 Procedure

15.2.2 Two‐Shaft Gas Turbine

15.2.2.1 Gas Generator

15.2.2.2 Matching the Compressor and Compressor Turbine

15.2.2.3 Power Turbine

15.2.2.4 Matching Mass Flow of the Compressor Turbine and Power Turbine

15.2.2.5 Off‐Design Calculation Procedure

15.2.2.6 Off‐Design Prediction Results

15.2.3 Turbojet Engine

15.2.3.1 Compressor

15.2.3.2 Combustion Chamber

15.2.3.3 Compressor Turbine

15.2.3.4 Gas Generator

15.2.3.5 Matching the Compressor and Compressor Turbine

15.2.3.6 Matching Mass Flow of the Compressor Turbine and Nozzle

15.2.3.7 Off‐Design Calculation Procedure

15.2.3.8 Off‐Design Prediction Results

Problems

Bibliography

Appendix A Thermodynamic Tables

Appendix B Dynamics of the Reciprocating Mechanism

Appendix C Design Point Calculations – Reciprocating Engines

C.1. Engine Processes

C.1.1 Induction Process

C.1.2 Compression Process

C.1.3 Combustion Process

C.1.4 Expansion Process

C.1.5 Performance Parameters

Appendix D Equations for the Thermal Efficiency and Specific Work of Theoretical Gas Turbine Cycles

Nomenclature

Index

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