Read more
Informationen zum Autor Ted Bennett is Associate Professor of Mechanical and Environmental Engineering at the University of California - Santa Barbara. He received his PhD from UC Berkeley in 1996. He has taught the transport phenomena course for the last 9 years, and in 2000 was awarded the Distinguished Teaching Award. Klappentext Bennett's Transport by Advection and Diffusion provides analytical and numerical tools to aid problem solving in every topic area of the text. These tools foster use of generalized methods in the exercises, and enrich understanding. The book helps to develop the math skills necessary to combine with the conceptual understanding needed to succeed in research and education. The text also improves upon an integrated approach to teaching transport phenomena, but widens this to include topics such as transport in compressible flows and in open channel flows. Zusammenfassung * Provides a focused foundation for the principles of transport with illustrations from a wide range of topics. * This book surpasses all other fundamental transport texts in its development of requisite math skills. The author develops analytical and numerical tools to aid problem solving in every topic area of the text. Inhaltsverzeichnis Chapter 1 Thermodynamic Preliminaries 1 1.1 The First and Second Laws of Thermodynamics 1 1.2 Fundamental Equations 2 1.3 Ideal Gas 7 1.4 Constant Density Solid or Liquid 8 1.5 Properties of Mixtures 9 1.6 Summary of Thermodynamic Results 9 1.7 Problems 10 Chapter 2 Fundamentals of Transport 12 2.1 Physics of Advection and Diffusion 12 2.2 Advection Fluxes 14 2.3 Diffusion Fluxes 17 2.4 Reversible vs. Irreversible Transport 22 2.5 Looking Ahead 23 2.6 Problems 23 Chapter 3 Index Notation 25 3.1 Indices 25 3.2 Representation of Cartesian Differential Equations 26 3.3 Special Operators 27 3.4 Operators in Non-Cartesian Coordinates 31 3.5 Problems 34 Chapter 4 Transport by Advection and Diffusion 36 4.1 Continuity Equation 37 4.2 Transport of Species 39 4.3 Transport of Heat 42 4.4 Transport of Momentum 43 4.5 Summary of Transport Equations without Sources 44 4.6 Conservation Statements from a Finite Volume 44 4.7 Eulerian and Lagrangian Coordinates and the Substantial Derivative 46 4.8 Problems 48 Chapter 5 Transport with Source Terms 50 5.1 Continuity Equation 51 5.2 Species Equation 51 5.3 Heat Equation (without Viscous Heating) 52 5.4 Momentum Equation 54 5.5 Kinetic Energy Equation 55 5.6 Heat Equation (with Viscous Heating) 57 5.7 Entropy Generation in Irreversible Flows 58 5.8 Conservation Statements Derived from a Finite Volume 59 5.9 Leibniz's Theorem 62 5.10 Looking Ahead 63 5.11 Problems 64 Chapter 6 Specification of Transport Problems 66 6.1 Classification of Equations 66 6.2 Boundary Conditions 67 6.3 Elementary Linear Examples 69 6.4 Nonlinear Example 73 6.5 Scaling Estimates 75 6.6 Problems 78 Chapter 7 Transient One-Dimensional Diffusion 82 7.1 Separation of Time and Space Variables 83 7.2 Silicon Doping 89 7.3 Plane Wall With Heat Generation 93 7.4 Transient Groundwater Contamination 97 7.5 Problems 101 Chapter 8 Steady Two-Dimensional Diffusion 103 8.1 Separation of Two Spatial Variables 103 8.2 Nonhomogeneous Conditions on Nonadjoining Boundaries 105 8.3 Nonhomogeneous Conditions on Adjoining Boundaries 107 8.4 Nonhomogeneous Condition in Governing Equation 111 8.5 Looking Ahead 115 8.6 Problems 115 Chapter 9 Eigenfunction Expansion 119 ...
