An advanced, practical approach to the first and second laws of thermodynamics Advanced Engineering Thermodynamics bridges the gap between engineering applications and the first and second laws of thermodynamics.

Preface to the First Edition xvii Preface to the Second Edition xxi Preface to The Third Edition xxv Preface xxix Acknowledgments xxxvii 1 The First Law 1 1.1 Terminology 1 1.2 Closed Systems 4 1.3 Work Transfer 7 1.4 Heat Transfer 12 1.5 Energy Change 16 1.6 Open Systems 18 1.7 History 23 References 31 Problems 33 2 The Second Law 39 2.1 Closed Systems 39 2.1.1 Cycle in Contact with One Temperature Reservoir 39 2.1.2 Cycle in Contact with Two Temperature Reservoirs 41 2.1.3 Cycle in Contact with Any Number of Temperature Reservoirs 49 2.1.4 Process in Contact with Any Number of Temperature Reservoirs 51 2.2 Open Systems 54 2.3 Local Equilibrium 56 2.4 Entropy Maximum and Energy Minimum 57 2.5 Carathéodory’s Two Axioms 62 2.6 A Heat Transfer Man’s Two Axioms 71 2.7 History 77 References 78 Problems 80 3 Entropy Generation, Or Exergy Destruction 95 3.1 Lost Available Work 96 3.2 Cycles 102 3.2.1 Heat Engine Cycles 103 3.2.2 Refrigeration Cycles 104 3.2.3 Heat Pump Cycles 107 3.3 Nonflow Processes 109 3.4 Steady-Flow Processes 113 3.5 Mechanisms of Entropy Generation 119 3.5.1 Heat Transfer across a Temperature Difference 119 3.5.2 Flow with Friction 122 3.5.3 Mixing 124 3.6 Entropy Generation Minimization 126 3.6.1 The Method 126 3.6.2 Tree-Shaped Fluid Flow 127 3.6.3 Entropy Generation Number 130 References 132 Problems 133 4 Single-Phase Systems 140 4.1 Simple System 140 4.2 Equilibrium Conditions 141 4.3 The Fundamental Relation 146 4.3.1 Energy Representation 147 4.3.2 Entropy Representation 148 4.3.3 Extensive Properties versus Intensive Properties 149 4.3.4 The Euler Equation 150 4.3.5 The Gibbs–Duhem Relation 151 4.4 Legendre Transforms 154 4.5 Relations between Thermodynamic Properties 163 4.5.1 Maxwell’s Relations 163 4.5.2 Relations Measured during Special Processes 166 4.5.3 Bridgman’s Table 173 4.5.4 Jacobians in Thermodynamics 176 4.6 Partial Molal Properties 179 4.7 Ideal Gas Mixtures 183 4.8 Real Gas Mixtures 186 References 189 Problems 190 5 Exergy Analysis 195 5.1 Nonflow Systems 195 5.2 Flow Systems 198 5.3 Generalized Exergy Analysis 201 5.4 Air Conditioning 203 5.4.1 Mixtures of Air and Water Vapor 203 5.4.2 Total Flow Exergy of Humid Air 205 5.4.3 Total Flow Exergy of Liquid Water 207 5.4.4 Evaporative Cooling 208 References 210 Problems 210 6 Multiphase Systems 213 6.1 The Energy Minimum Principle 213 6.1.1 The Energy Minimum 214 6.1.2 The Enthalpy Minimum 215 6.1.3 The Helmholtz Free-Energy Minimum 216 6.1.4 The Gibbs Free-Energy Minimum 217 6.1.5 The Star Diagram 217 6.2 The Stability of a Simple System 219 6.2.1 Thermal Stability 219 6.2.2 Mechanical Stability 221 6.2.3 Chemical Stability 222 6.3 The Continuity of the Vapor and Liquid States 224 6.3.1 The Andrews Diagram and J. Thomson’s Theory 224 6.3.2 The van der Waals Equation of State 226 6.3.3 Maxwell’s Equal-Area Rule 233 6.3.4 The Clapeyron Relation 235 6.4 Phase Diagrams 236 6.4.1 The Gibbs Phase Rule 236 6.4.2 Single-Component Substances 237 6.4.3 Two-Component Mixtures 239 6.5 Corresponding States 247 6.5.1 Compressibility Factor 247 6.5.2 Analytical P(v, T) Equations of State 253 6.5.3 Calculation of Properties Based on P(v, T) and Specific Heat 257 6.5.4 Saturated Liquid and Saturated Vapor States 259 6.5.5 Metastable States 261 References 264 Problems 266 7 Chemically Reactive Systems 271 7.1 Equilibrium 271 7.1.1 Chemical Reactions 271 7.1.2 Affinity 274 7.1.3 Le Chatelier–Braun Principle 277 7.1.4 Ideal Gas Mixtures 280 7.2 Irreversible Reactions 287 7.3 Steady-Flow Combustion 295 7.3.1 Combustion Stoichiometry 295 7.3.2 The First Law 297 7.3.3 The Second Law 303 7.3.4 Maximum Power Output 306 7.4 The Chemical Exergy of Fuels 316 7.5 Combustion at Constant Volume 320 7.5.1 The First Law 320 7.5.2 The Second Law 322 7.5.3 Maximum Work Output 323 References 324 Problems 325 8 Power Generation 328 8.1 Maximum Power Subject to Size Constraint 328 8.2 Maximum Power from a Hot Stream 332 8.3 External Irreversibilities 338 8.4 Internal Irreversibilities 344 8.4.1 Heater 344 8.4.2 Expander 346 8.4.3 Cooler 346 8.4.4 Pump 348 8.4.5 Relative Importance of Internal Irreversibilities 348 8.5 Advanced Steam Turbine Power Plants 352 8.5.1 Superheater, Reheater, and Partial Condenser Vacuum 352 8.5.2 Regenerative Feed Heating 355 8.5.3 Combined Feed Heating and Reheating 362 8.6 Advanced Gas Turbine Power Plants 366 8.6.1 External and Internal Irreversibilities 366 8.6.2 Regenerative Heat Exchanger, Reheaters, and Intercoolers 371 8.6.3 Cooled Turbines 374 8.7 Combined Steam Turbine and Gas Turbine Power Plants 376 References 379 Problems 381 9 Solar Power 394 9.1 Thermodynamic Properties of Thermal Radiation 394 9.1.1 Photons 395 9.1.2 Temperature 396 9.1.3 Energy 397 9.1.4 Pressure 399 9.1.5 Entropy 400 9.2 Reversible Processes 403 9.2.1 Reversible and Adiabatic Expansion or Compression 403 9.2.2 Reversible and Isothermal Expansion or Compression 403 9.2.3 Carnot Cycle 404 9.3 Irreversible Processes 404 9.3.1 Adiabatic Free Expansion 404 9.3.2 Transformation of Monochromatic Radiation into Blackbody Radiation 405 9.3.3 Scattering 407 9.3.4 Net Radiative Heat Transfer 408 9.3.5 Kirchhoff’s Law 412 9.4 The Ideal Conversion of Enclosed Blackbody Radiation 413 9.4.1 Petela’s Theory 413 9.4.2 Unifying Theory 416 9.5 Maximization of Power Output Per Unit Collector Area 424 9.5.1 Ideal Concentrators 424 9.5.2 Omnicolor Series of Ideal Concentrators 427 9.5.3 Unconcentrated Solar Radiation 428 9.6 Convectively Cooled Collectors 431 9.6.1 Linear Convective Heat Loss Model 432 9.6.2 Effect of Collector–Engine Heat Exchanger Irreversibility 433 9.6.3 Combined Convective and Radiative Heat Loss 434 9.7 Extraterrestrial Solar Power Plant 436 9.8 Climate 438 9.9 Self-Pumping and Atmospheric Circulation 449 References 453 Problems 455 10 Refrigeration 461 10.1 Joule–Thomson Expansion 461 10.2 Work-Producing Expansion 468 10.3 Brayton Cycle 471 10.4 Intermediate Cooling 477 10.4.1 Counterflow Heat Exchanger 477 10.4.2 Bioheat Transfer 479 10.4.3 Distribution of Expanders 480 10.4.4 Insulation 484 10.5 Liquefaction 492 10.5.1 Liquefiers versus Refrigerators 492 10.5.2 Heylandt Nitrogen Liquefier 494 10.5.3 Efficiency of Liquefiers and Refrigerators 498 10.6 Refrigerator Models with Internal Heat Leak 502 10.6.1 Heat Leak in Parallel with Reversible Compartment 502 10.6.2 Time-Dependent Operation 505 10.7 Magnetic Refrigeration 509 10.7.1 Fundamental Relations 509 10.7.2 Adiabatic Demagnetization 513 10.7.3 Paramagnetic Thermometry 514 10.7.4 The Third Law of Thermodynamics 517 References 518 Problems 521 11 Entropy Generation Minimization 531 11.1 Competing Irreversibilities 531 11.1.1 Internal Flow and Heat Transfer 531 11.1.2 Heat Transfer Augmentation 536 11.1.3 External Flow and Heat Transfer 538 11.1.4 Convective Heat Transfer in General 541 11.2 Balanced Counterflow Heat Exchangers 543 11.2.1 The Ideal Limit 545 11.2.2 Area Constraint 548 11.2.3 Volume Constraint 550 11.2.4 Combined Area and Volume Constraint 551 11.2.5 Negligible Pressure Drop Irreversibility 551 11.2.6 The Structure of Heat Exchanger Irreversibility 553 11.3 Storage Systems 555 11.3.1 Sensible-Heat Storage 555 11.3.2 Storage Time Interval 556 11.3.3 Heat Exchanger Size 558 11.3.4 Storage Followed by Removal of Exergy 561 11.3.5 Heating and Cooling Subject to Time Constraint 564 11.3.6 Latent-Heat Storage 567 11.4 Power Maximization or Entropy Generation Minimization 570 11.4.1 Heat Transfer Irreversible Power Plant Models 571 11.4.2 Minimum Entropy Generation Rate 573 11.4.3 Fluid Flow Systems 577 11.4.4 Electrical Machines 581 11.5 From Entropy Generation Minimization to Constructal Law 583 11.5.1 The Generation-of-Configuration Phenomenon 583 11.5.2 Organ Size 586 References 592 Problems 595 12 Irreversible Thermodynamics 601 12.1 Conjugate Fluxes and Forces 602 12.2 Linearized Relations 606 12.3 Reciprocity Relations 607 12.4 Thermoelectric Phenomena 610 12.4.1 Formulations 610 12.4.2 The Peltier Effect 613 12.4.3 The Seebeck Effect 615 12.4.4 The Thomson Effect 616 12.4.5 Power Generation 618 12.4.6 Refrigeration 623 12.5 Heat Conduction in Anisotropic Media 625 12.5.1 Formulation in Two Dimensions 626 12.5.2 Principal Directions and Conductivities 628 12.5.3 The Concentrated Heat Source Experiment 631 12.5.4 Three-Dimensional Conduction 633 12.6 Mass Diffusion 635 12.6.1 Nonisothermal Diffusion of a Single Component 635 12.6.2 Nonisothermal Binary Mixtures 637 12.6.3 Isothermal Diffusion 639 References 640 Problems 642 13 The Constructal Law 646 13.1 Evolution 646 13.2 Mathematical Formulation of the Constructal Law 649 13.2.1 Properties of Flow Systems with Configuration 649 13.2.2 Evolution by Increasing Global Performance 651 13.2.3 Evolution by Increasing Compactness 652 13.2.4 Evolution by Increasing Flow Territory 652 13.2.5 Freedom Is Good for Evolution and Survival (Persistence) 654 13.3 Inanimate Flow Systems 655 13.3.1 Duct Cross Sections 655 13.3.2 Open-Channel Cross Sections 657 13.3.3 Tree-Shaped Fluid Flow and River Basins 658 13.3.4 Turbulent Flow Structure 664 13.3.5 Coalescence of Flowing Solid Packets 668 13.3.6 Cracks, Splashes, and Splats 669 13.3.7 Dendritic Solidification 669 13.3.8 Global Circulation and Climate 671 13.4 Animate Flow Systems 673 13.4.1 Body Heat Loss 673 13.4.2 Branches, Diameters, and Lengths 678 13.4.3 Breathing and Heartbeating 680 13.4.4 Flying, Running, and Swimming 681 13.4.5 Life Span and Life Travel 687 13.4.6 Athletics Evolution 688 13.5 Size and Efficiency: Economies of Scale 689 13.6 Growth, Spreading, and Collecting 691 13.7 Asymmetry and Vascularization 693 13.8 Human Preferences for Shapes 697 13.9 The Arrow of Time 699 References 702 Problems 706 Appendix 725 Constants 725 Mathematical Formulas 726 Variational Calculus 727 Properties of Moderately Compressed Liquid States 728 Properties of Slightly Superheated Vapor States 729 Properties of Cold Water Near the Density Maximum 729 References 730 Symbols 731 Index 741

GOLD-STANDARD TREATMENT OF ENGINEERING THERMODYNAMICS, WITH COVERAGE OF THE LATEST ADVANCES IN THE FIELD Advanced Engineering Thermodynamics is the definitive guide to this complex topic, from one of the world's leading experts in the field. Professor Adrian Bejan provides authoritative guidance on the first and second laws of thermodynamics, with a practical focus on applications within engineering fields. Expanding on the basic information covered in most textbooks, this book offers in-depth analysis and expert insight on the more advanced aspects of heat, energy, and work. This new fourth edition includes coverage of the latest developments, including recent advances in energy storage, distributed energy systems, entropy generation minimization, and other industrial applications to highlight the current state of the field. Designed to instruct the engineers of tomorrow, this book features: Condensed introductory chapters that allow students to quickly review the fundamentals before diving into practical applicationsDirect links between thermodynamics and engineering topics including solar energy, refrigeration, chemical design, thermofluid design, and moreSustainability design and policy integrated throughout the text to provide real-world context for thermodynamics applicationsExploration of the latest developments and emerging technologies related to thermodynamics optimizationAdditional problems, including worked problems that provide direct reference for homework and practiceAnalyses, essays, history, and graphics that work seamlessly together to explain advanced topics in thermodynamics