Date of Award


Publication Type

Master Thesis

Degree Name



Mathematics and Statistics




Kaloni, P. N.,




In this thesis we apply similarity analysis to find possible similarity solutions for various flow problems with heat transfer. Chapter I introduces two similarity methods, the free parameter method and similarity via separation of variables, and illustrates their basic features by applying both methods to the one-dimensional diffusion equation. In Chapter II we employ separation of variables to present a unified analysis of the boundary layer equations with heat and mass transfer for viscous fluids and establish conditions under which similarity solutions are possible. Chapter III deals with the steady three-dimensional boundary layer flow of a second order fluid over a flat plate using the free parameter method. We determine the forms of the free stream velocities U and W for which this method is applicable. It seems that this problem has not been treated before for the same constitutive model. Finally, Chapter IV considers transport of thermal energy in two-dimensional flows of the second order fluid. We discuss a variety of steady and unsteady problems. Most of the results in Chapter III and IV appear to be new. Source: Masters Abstracts International, Volume: 39-02, page: 0516. Adviser: P. N. Kaloni. Thesis (M.Sc.)--University of Windsor (Canada), 1999.