1. A preview
2. Basic principles
3. Unidirectional and one-dimensional flow and heat transfer processes
4. An introduction to asymptotic approximations
5. The thin gap approximation - lubrication problems
6. The thin gap approximation - films with a free surface
7. Creeping flow - general properties and solutions for 2D and axisymmetric problems
8. Creeping flow - 3D problems
9. Convection effects and heat transfer for viscous flows
10. Boundary layer theory for laminar flows
11. Heat and mass transfer at large Reynolds number
12. Hydrodynamic stability

Appendix A. Governing equations and vector operations in Cartesian, cylindrical and spherical coordinate systems
Appendix B. Cartesian component notation.

Advanced Transport Phenomena is ideal as a graduate textbook. It contains a detailed discussion of modern analytic methods for the solution of fluid mechanics and heat and mass transfer problems, focusing on approximations based on scaling and asymptotic methods, beginning with the derivation of basic equations and boundary conditions and concluding with linear stability theory. Also covered are unidirectional flows, lubrication and thin-film theory, creeping flows, boundary layer theory, and convective heat and mass transport at high and low Reynolds numbers. The emphasis is on basic physics, scaling and nondimensionalization, and approximations that can be used to obtain solutions that are due either to geometric simplifications, or large or small values of dimensionless parameters. The author emphasizes setting up problems and extracting as much information as possible short of obtaining detailed solutions of differential equations. The book also focuses on the solutions of representative problems. This reflects the book's goal of teaching readers to think about the solution of transport problems.---summary provided by publisher