Transport phenomena. Equations and numerical solutions (Q2736591)

The aim of the present book is to give an introduction into both the theory of transport phenomena and the numerical methods used to solve transport problems of different degree of difficulty. Accordingly the book consists of two parts. The first part (chapters 1-7) contains a basic introduction into many aspects of fluid mechanics, heat transfer and mass transfer. The conservation equations for mass, energy and momentum are written in several well known cases and discussed with reference to engineering applications. In the first chapter, conservation laws of Newtonian fluids are considered. Basic concepts of fluid dynamics in mainly incompressible, one-phase, non-reactive, Newtonian flows are discussed in chapter 2. Chapter 3 contains the fundamentals of heat conduction, including an overview of analytical methods to describe heat transfer. Chapter 4 starts with forced convection in internal laminar flows. Then, turbulent flows are studied for given velocity profiles. Besides heat transfer in external flows is considered. Section 5 is dedicated to natural convection which is only caused by density gradients. Here the stability of heated porous and fluid layers is studied. Mixed forced and natural convection as well as the stability analysis of rotating fluids are discussed. Radiation heat transfer between multiple black and grey bodies is explained in chapter 6. Chapter 7 introduces mass transfer by diffusion and convection.NEWLINENEWLINEThe second part of the book (chapters 8-10) deals with numerical methods used to solve the problems in the first part. As the method employed to solve a given partial differential equation depends on the type of the equation, the second part starts with a classification of partial differential equations. Then, the finite difference method is used to solve a linear parabolic, partial differential equation. The choice between the different (explicit, implicit, alternative-direction) schemes, the treatment of the boundary conditions, and the strategy employed when the equation to be solved contains nonlinear terms are covered. Besides, an introduction to the stability analysis of numerical schemes is given. Chapter 9 considers the solution of elliptic partial differential equations and the strategy for solving coupled partial differential equations. Here, the problem of two-dimensional natural convection in porous layers is solved numerically. Finally, in chapter 10 the basic concepts of the finite volume method and its use to solve transport problems are explained.NEWLINENEWLINEOther subjects usually given in mathematical textbooks such as vector and tensor analysis, the solution of Bessel's equation, Laplace transforms, the Runge-Kutta method, and the integration using Gaussian quadrature are discussed in the Appendices. One appendix is dedicated to the theory developed by the author to estimate radiative heat transfer in a cloud of particles.NEWLINENEWLINEEach chapter of the book ends with a bibliography, practical examples and problems. For most of the problems, solutions are given. Throughout the book historical footnotes on some of the great mathematicians and physicists involved in the development of transport theory are added.NEWLINENEWLINEThe present work is a valuable textbook not only for senior and graduate students in mechanical, aeronautical and chemical engineering, but also for engineers working in these fields.