ABSTRACT

This chapter presents methods to solve problems with three independent variables involving first-order differential equations and first-kind boundary conditions. Therefore, partial differential equations are involved. Mathematically, this class of cases can be summarized as first-kind boundary condition. The chapter considers the problem of heating of a liquid at two-dimensional flow for which the solution is obtained by Laplace transform. The problem can also be put under complete dimensionless variables, which would simplify the treatment and provide wider generalization of the solution. The chapter considers a similar problem where the fluid undergoes a reaction instead of being heated. In view of the sudden modification of the dependent variable value in this case, Laplace transform seems an attractive method to be applied here.