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In this book, an attempt is made to analyze the heat transfer effects on Newtonian fluid flows. The book is divided into five chapters. Chapter I is a two dimensional steady flow problem. Chapters II, III, IV and V are two-dimensional unsteady flow problems. The flow problem presented in chapters I is solved analytically and obtained closed form solutions. The flow problem presented in Chapters II and IV are solved by Analytical Techniques. The perturbation technique is used to obtain the solutions of the flow problems described in chapters III & V. The graphs and tables are presented by using software MATLAB.