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The present book discusses the heat transfer analysis on two-dimensional steady free or bio convection flow of Newtonian or non-Newtonian nanofluids over a stretching surface or cone surface or cylindrical surface. This book is divided into five chapters. The governing equations of the flow under consideration were solved with the appropriate boundary conditions by using well established numerical technique bvp4c method or Runge-Kutta-Fehlberg method of fourth fifth order. Chapter 1 intends to analyse the thermal optimization in magnetic materials based on the entropy generation in a mixed convective MHD flow of an electrically conductive nano liquid having motile microorganisms together with a vertical cylinder. By using the convection boundary condition, the process of heat transport is examined in detail. With coupled linear boundary conditions the related equations (continuity, momentum & energy) are reduced to five ODE's. The RKF-45 method by shooting algorithm was employed to examine variation of physical parameters under study.