ABSTRACT

The purpose of this chapter is to illustrate some of the concepts presented in the previous chapters by solving a general set of diverse mass transfer problems. (Solutions of mass transfer problems with special characteristics will be presented in Chapters 10 – 17.) The solution strategy discussed in Chapter 8 is utilized, and, for one-dimensional problems, the results of Table 8.1 and Equations 8.1 – 8.4 are used when possible. The formulation of all problems is explained, and, in many cases, the boundary value problem which describes the diffusion and mass transfer process is solved. Certain nonlinear problems are solved using perturbation methods or weighted residual methods. As noted in Section 7.6, strictly numerical methods will not be developed for the solution of mass transfer problems. In Section 9.1, an analytical solution to a linear problem is developed using two methods so that different solution methods can be compared.