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TitleTransport Phenomena
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Table of Contents
                            TRANSPORT PHENOMENA: An Introduction to Advanced Topics
	CONTENTS
	PREFACE
	1 INTRODUCTION AND SOME USEFUL REVIEW
		1.1 A MESSAGE FOR THE STUDENT
		1.2 DIFFERENTIAL EQUATIONS
		1.3 CLASSIFICATION OF PARTIAL DIFFERENTIAL EQUATIONS AND BOUNDARY CONDITIONS
		1.4 NUMERICAL SOLUTIONS FOR PARTIAL DIFFERENTIAL EQUATIONS
		1.5 VECTORS, TENSORS, AND THE EQUATION OF MOTION
		1.6 THE MEN FOR WHOM THE NAVIER–STOKES EQUATIONS ARE NAMED
		1.7 SIR ISAAC NEWTON
		REFERENCES
	2 INVISCID FLOW: SIMPLIFIED FLUID MOTION
		2.1 INTRODUCTION
		2.2 TWO-DIMENSIONAL POTENTIAL FLOW
		2.3 NUMERICAL SOLUTION OF POTENTIAL FLOW PROBLEMS
		2.4 CONCLUSION
		REFERENCES
	3 LAMINAR FLOWS IN DUCTS AND ENCLOSURES
		3.1 INTRODUCTION
		3.2 HAGEN–POISEUILLE FLOW
		3.3 TRANSIENT HAGEN–POISEUILLE FLOW
		3.4 POISEUILLE FLOW IN AN ANNULUS
		3.5 DUCTS WITH OTHER CROSS SECTIONS
		3.6 COMBINED COUETTE AND POISEUILLE FLOWS
		3.7 COUETTE FLOWS IN ENCLOSURES
		3.8 GENERALIZED TWO-DIMENSIONAL FLUID MOTION IN DUCTS
		3.9 SOME CONCERNS IN COMPUTATIONAL FLUID MECHANICS
		3.10 FLOW IN THE ENTRANCE OF DUCTS
		3.11 CREEPING FLUID MOTIONS IN DUCTS AND CAVITIES
		3.12 MICROFLUIDICS: FLOW IN VERY SMALL CHANNELS
			3.12.1 Electrokinetic Phenomena
			3.12.2 Gases in Microfluidics
		3.13 FLOWS IN OPEN CHANNELS
		3.14 PULSATILE FLOWS IN CYLINDRICAL DUCTS
		3.15 SOME CONCLUDING REMARKS FOR INCOMPRESSIBLE VISCOUS FLOWS
		REFERENCES
	4 EXTERNAL LAMINAR FLOWS AND BOUNDARY-LAYER THEORY
		4.1 INTRODUCTION
		4.2 THE FLAT PLATE
		4.3 FLOW SEPARATION PHENOMENA ABOUT BLUFF BODIES
		4.4 BOUNDARY LAYER ON A WEDGE: THE FALKNER–SKAN PROBLEM
		4.5 THE FREE JET
		4.6 INTEGRAL MOMENTUM EQUATIONS
		4.7 HIEMENZ STAGNATION FLOW
		4.8 FLOW IN THE WAKE OF A FLAT PLATE AT ZERO INCIDENCE
		4.9 CONCLUSION
		REFERENCES
	5 INSTABILITY, TRANSITION, AND TURBULENCE
		5.1 INTRODUCTION
		5.2 LINEARIZED HYDRODYNAMIC STABILITY THEORY
		5.3 INVISCID STABILITY: THE RAYLEIGH EQUATION
		5.4 STABILITY OF FLOW BETWEEN CONCENTRIC CYLINDERS
		5.5 TRANSITION
			5.5.1 Transition in Hagen–Poiseuille Flow
			5.5.2 Transition for the Blasius Case
		5.6 TURBULENCE
		5.7 HIGHER ORDER CLOSURE SCHEMES
			5.7.1 Variations
		5.8 INTRODUCTION TO THE STATISTICAL THEORY OF TURBULENCE
		5.9 CONCLUSION
		REFERENCES
	6 HEAT TRANSFER BY CONDUCTION
		6.1 INTRODUCTION
		6.2 STEADY-STATE CONDUCTION PROBLEMS IN RECTANGULAR COORDINATES
		6.3 TRANSIENT CONDUCTION PROBLEMS IN RECTANGULAR COORDINATES
		6.4 STEADY-STATE CONDUCTION PROBLEMS IN CYLINDRICAL COORDINATES
		6.5 TRANSIENT CONDUCTION PROBLEMS IN CYLINDRICAL COORDINATES
		6.6 STEADY-STATE CONDUCTION PROBLEMS IN SPHERICAL COORDINATES
		6.7 TRANSIENT CONDUCTION PROBLEMS IN SPHERICAL COORDINATES
		6.8 KELVIN’S ESTIMATE OF THE AGE OF THE EARTH
		6.9 SOME SPECIALIZED TOPICS IN CONDUCTION
			6.9.1 Conduction in Extended Surface Heat Transfer
			6.9.2 Anisotropic Materials
			6.9.3 Composite Spheres
		6.10 CONCLUSION
		REFERENCES
	7 HEAT TRANSFER WITH LAMINAR FLUID MOTION
		7.1 INTRODUCTION
		7.2 PROBLEMS IN RECTANGULAR COORDINATES
			7.2.1 Couette Flow with Thermal Energy Production
			7.2.2 Viscous Heating with Temperature-Dependent Viscosity
			7.2.3 The Thermal Entrance Region in Rectangular Coordinates
			7.2.4 Heat Transfer to Fluid Moving Past a Flat Plate
		7.3 PROBLEMS IN CYLINDRICAL COORDINATES
			7.3.1 Thermal Entrance Length in a Tube: The Graetz Problem
		7.4 NATURAL CONVECTION: BUOYANCY-INDUCED FLUID MOTION
			7.4.1 Vertical Heated Plate: The Pohlhausen Problem
			7.4.2 The Heated Horizontal Cylinder
			7.4.3 Natural Convection in Enclosures
			7.4.4 Two-Dimensional Rayleigh–Benard Problem
		7.5 CONCLUSION
		REFERENCES
	8 DIFFUSIONAL MASS TRANSFER
		8.1 INTRODUCTION
			8.1.1 Diffusivities in Gases
			8.1.2 Diffusivities in Liquids
		8.2 UNSTEADY EVAPORATION OF VOLATILE LIQUIDS: THE ARNOLD PROBLEM
		8.3 DIFFUSION IN RECTANGULAR GEOMETRIES
			8.3.1 Diffusion into Quiescent Liquids: Absorption
			8.3.2 Absorption with Chemical Reaction
			8.3.3 Concentration-Dependent Diffusivity
			8.3.4 Diffusion Through a Membrane
			8.3.5 Diffusion Through a Membrane with Variable D
		8.4 DIFFUSION IN CYLINDRICAL SYSTEMS
			8.4.1 The Porous Cylinder in Solution
			8.4.2 The Isothermal Cylindrical Catalyst Pellet
			8.4.3 Diffusion in Squat (Small L/d) Cylinders
			8.4.4 Diffusion Through a Membrane with Edge Effects
			8.4.5 Diffusion with Autocatalytic Reaction in a Cylinder
		8.5 DIFFUSION IN SPHERICAL SYSTEMS
			8.5.1 The Spherical Catalyst Pellet with Exothermic Reaction
			8.5.2 Sorption into a Sphere from a Solution of Limited Volume
		8.6 SOME SPECIALIZED TOPICS IN DIFFUSION
			8.6.1 Diffusion with Moving Boundaries
			8.6.2 Diffusion with Impermeable Obstructions
			8.6.3 Diffusion in Biological Systems
			8.6.4 Controlled Release
		8.7 CONCLUSION
		REFERENCES
	9 MASS TRANSFER IN WELL-CHARACTERIZED FLOWS
		9.1 INTRODUCTION
		9.2 CONVECTIVE MASS TRANSFER IN RECTANGULAR COORDINATES
			9.2.1 Thin Film on a Vertical Wall
			9.2.2 Convective Transport with Reaction at the Wall
			9.2.3 Mass Transfer Between a Flowing Fluid and a Flat Plate
		9.3 MASS TRANSFER WITH LAMINAR FLOW IN CYLINDRICAL SYSTEMS
			9.3.1 Fully Developed Flow in a Tube
			9.3.2 Variations for Mass Transfer in a Cylindrical Tube
			9.3.3 Mass Transfer in an Annulus with Laminar Flow
			9.3.4 Homogeneous Reaction in Fully Developed Laminar Flow
		9.4 MASS TRANSFER BETWEEN A SPHERE AND A MOVING FLUID
		9.5 SOME SPECIALIZED TOPICS IN CONVECTIVE MASS TRANSFER
			9.5.1 Using Oscillatory Flows to Enhance Interphase Transport
			9.5.2 Chemical Vapor Deposition in Horizontal Reactors
			9.5.3 Dispersion Effects in Chemical Reactors
			9.5.4 Transient Operation of a Tubular Reactor
		9.6 CONCLUSION
		REFERENCES
	10 HEAT AND MASS TRANSFER IN TURBULENCE
		10.1 INTRODUCTION
		10.2 SOLUTION THROUGH ANALOGY
		10.3 ELEMENTARY CLOSURE PROCESSES
		10.4 SCALAR TRANSPORT WITH TWO-EQUATION MODELS OF TURBULENCE
		10.5 TURBULENT FLOWS WITH CHEMICAL REACTIONS
			10.5.1 Simple Closure Schemes
		10.6 AN INTRODUCTION TO pdf MODELING
			10.6.1 The Fokker–Planck Equation and pdf Modeling of Turbulent Reactive Flows
			10.6.2 Transported pdf Modeling
		10.7 THE LAGRANGIAN VIEW OF TURBULENT TRANSPORT
		10.8 CONCLUSIONS
		REFERENCES
	11 TOPICS IN MULTIPHASE AND MULTICOMPONENT SYSTEMS
		11.1 GAS–LIQUID SYSTEMS
			11.1.1 Gas Bubbles in Liquids
			11.1.2 Bubble Formation at Orifices
			11.1.3 Bubble Oscillations and Mass Transfer
		11.2 LIQUID–LIQUID SYSTEMS
			11.2.1 Droplet Breakage
		11.3 PARTICLE FLUID SYSTEMS
			11.3.1 Introduction to Coagulation
			11.3.2 Collision Mechanisms
			11.3.3 Self-Preserving Size Distributions
			11.3.4 Dynamic Behavior of the Particle Size Distribution
			11.3.5 Other Aspects of Particle Size Distribution Modeling
			11.3.6 A Highly Simplified Example
		11.4 MULTICOMPONENT DIFFUSION IN GASES
			11.4.1 The Stefan–Maxwell Equations
		11.5 CONCLUSION
		REFERENCES
	PROBLEMS TO ACCOMPANY TRANSPORT PHENOMENA: AN INTRODUCTION TO ADVANCED TOPICS
	APPENDIX A FINITE DIFFERENCE APPROXIMATIONS FOR DERIVATIVES
	APPENDIX B ADDITIONAL NOTES ON BESSEL’S EQUATION AND BESSEL FUNCTIONS
	APPENDIX C SOLVING LAPLACE AND POISSON (ELLIPTIC) PARTIAL DIFFERENTIAL EQUATIONS
	APPENDIX D SOLVING ELEMENTARY PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS
	APPENDIX E ERROR FUNCTION
	APPENDIX F GAMMA FUNCTION
	APPENDIX G REGULAR PERTURBATION
	APPENDIX H SOLUTION OF DIFFERENTIAL EQUATIONS BY COLLOCATION
	INDEX
                        

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