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Abstract
A numerical investigation of double-diffusive laminar mixed convection within a two dimensional shallow driven cavity for two different configuration cases has been carried out. In the first chapter an introduction indicates the importance of heat and mass transfer in different engineering and industrial applications with a literature review concludes all previous researches until year 2010 were presented prolixity and in the chapter end the aim of this study was illustrated. The second chapter illustrates a mathematical model for the heat and mass transfer problem within a shallow driven cavity explains the method of calculating the pressure inside the cavity. The governing equations are transformed into the dimensionless form to be in the general form and schematic diagrams are plotted to clarify the boundary conditions in the two different configurations cases. Afterwards elucidation of obtaining the values of local and Average Nusselt and Sherwood number for the hot surface in addition, local and average Sherwood number for the vertical walls and presenting the numerical method used in solving the model which is Patankar and Spalding based on finite volume technique. Two different Program validations were performed for two different cases and compared with published work. The solution and the results of the mathematical model of the top driven cavity in the two cases are presented in the third chapter by assuming the heat transfer fluid is water by keeping PrandtI number is fixed at 6.0 also the following parameters are kept constant, Le. the Reynolds number at 100 and the Rayleigh number at 6 x 104 thus encompassing the dominating mixed convection flow regime. The numerical results are obtained for the streamline, isothermals and isoconcentration contours for wide range of Lewis number 0.1 :s Le :s 10, buoyancy ratio -10 :s N :s 10. The effect of tilting the cavity by an angle y in the counter clockwise rotating direction was studied for the first case and the second case was studied for horizontal configuration only. Comparisons were made between the upward and downward movements of the top surface in the first case. Likewise, the right hand side and left hand side movements of the top surface in the second case and finally between the first and second case to give recommendations for industrialization of crystals. Finally, chapter four concludes the summary of the results, recommendations and some of studying points which may be studied in the future.