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Abstract
Similarity transformation which essentially reduce the number of independent variables by one in partial differential systems, have been widely used in fluid mechanics and heat transfer. Also used to convert a boundary value problem to an initial value problem and used to reduce the order of an ordinary differential equation. So the similarity solutions plays an important role in fluid flows and magnetohydrodynamics, especially in boundary layer flows.
The study of free convection and mass transfer boundary layer flows through a viscous, incompressible electrically conducting fluid is considered very essential to understand the behavior of fluid motions in several applications. Laminar flow and heat transfer processes in non-Newtonian fluids play a key role in such vital industries as foods, polymer and petrochemical, where heat exchangers constitute an integral part of the processing equipments. In this thesis we study three heat transfer problems: in which two of them in non-Newtonian fluids past a semi-infinite vertical flat plate. Such studies deal with the formulation and third analysis of the continuity, conservation of momentum equations and the equations of energy and diffusion including the possible physical processes of forced convection and mass transfer.
The fluid is assumed to be viscous, incompressible, electrically conducting and subjected to an external magnetic field.
In Chapter one we give general review, magnetohydrodynamics is given in chapter two, in chapter three and four we studied the similarity solutions of the effect of a magnetic field, Thermal-diffusion and diffusion-thermo flow past a vertical cone surface and in chapter four the Hall currents effects.
We discussed the case of non-uniform magnetic field the derived fundamental equations are solved numerically by employing the shooting method. The velocities, the temperature and the concentration profiles are computed for various values of the magnetic parameter and some other parameters.
Key Words: MHD, Free-forced Convection and Mass Transfer, Non-Newtonian power law, Thermal- Diffusion and Diffusion- Thermo, Hall Currents, group theoretic methods.