Transport Phenomena: An Introduction to Advanced Topics

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.

3.13 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.

5.6 Turbulence. 

5.7 Higher Order Closure Schemes.

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.

6.10 Conclusion.

References.

7. Heat Transfer with Laminar Fluid Motion.

7.1 Introduction.

7.2 Problems in Rectangular Coordinates.

7.3 Problems in Cylindrical Coordinates.

7.4 Natural Convection: Buoyancy-Induced Fluid Motion.

7.5 Conclusion.

References.

8. Diffusional Mass Transfer.

8.1 Introduction.

8.2 Unsteady Evaporation of Volatile Liquids: the Arnold Problem.

8.3 Diffusion in Rectangular Geometries.

8.4 Diffusion in Cylindrical Systems.

8.5 Diffusion in Spherical Systems.

8.6 Some Specialized Topics in Diffusion.

8.7 Conclusion.

References.

9. Mass Transfer in Well-Characterized Flows.

9.1 Introduction.

9.2 Convective Mass Transfer in Rectangular Coordinates.

9.3 Mass Transfer with Laminar Flow in Cylindrical Systems.

9.4 Mass Transfer between a Sphere and a Moving Fluid.

9.5 Some Specialized Topics in Convective Mass Transfer.

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.

10.6 An Introduction to pdf Modeling.

10.7 The Lagrangian View of Turbulent Transport.

10.8 Conclusion.

References.

11. Topics in Multiphase and Multicomponent Systems.

11.1 Gas-Liquid Systems.

11.2 Liquid-Liquid Systems.

11.3 Particle-Fluid Systems.

11.4 Multicomponent Diffusion in Gases.

11.5 Conclusion.

References.

Problems to Accompany A Second Course in Transport Phenomena.

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.