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“Transport phenomena” is the accepted name for the mathematical description of the fundamental phenomena of momentum, energy, and mass transport. This acceptance has developed over some 35 years and was initiated in 1960 by the classic book by Bird, Stewart, and Lightfoot, Transport Phenomena (Wiley). Concurrently, the digital Computer has evolved as an essential element in the analysis of chemical engineering Systems. Yet, rather surprisingly, these two fundamental developments have not come together in a book that presents the computer-based analysis of transport phenomena.
This book is intended to fill the need for an introductory presentation of computational transport phenomena. It is not intended as a replacement for any existing books in transport phenomena, rather, as a Supplement to these books. Thus each chapter has the following characteristics: (a) a detailed, worked example, including discussion of the problem System equations; (b) a brief introduction to the numerical methods used to analyze the problem System; (c) a Computer code for the solution of the problem System equations (focusing primarily on the routines specific to the problem, with some discussion of the library routines also required to make up a complete code); (d) discussion of the numerical solution, with emphasis on physical interpretation and the analysis of errors; and (e) when appropriate, a comparison of the numerical solution with an analytical solution, or a discussion of how the numerical solution goes beyond what can be done analytically, especially for nonlinear problems.
Each chapter was developed originally during our teaching of a graduate course in transport phenomena. Since each chapter is self-contained, the chapters can be selected in essentially any order and number; we have on occasion used only one chapter during courses in momentum, heat, and mass transfer, applied mathematics, and numerical analysis to illustrate the Utility and some of the basic features of the Computer analysis of transport problems. Chapter 5 gives the most complete, selfcontained discussion of the numerical Integration of partial differential equations applied to problems in transport phenomena; this chapter is therefore recommended to the reader who is interested in an introduction to the numerical solution of transport problems.