Modelling transport processes in heat, mass, and fluid flow are always at the focus of the science in the modern era of rapid technological development. Generally, new problems emerging in science and technology invoke immediately the need to create mathematical models thus allowing understanding the basic relationship controlling the phenomena at issue. Moreover, exploring the models, even quite approximate, we may go deep into the physics of the processes and discover features which, to some extent, never would be detected by direct experimental observations. The power of mathematical modelling is well demonstrated by the analytical models, which as a rule, simplify or reduce the initial models after scaling and establish general relationships upon imposed constrains. Numerical approaches in solution are powerful tools but without a preliminary analytical background the final outcomes of such calculations could not be adequately physically interpreted.