Thermo-Diffusion And Multislip Effects On MHD Mixed Convection Unsteady Flow Of Micropolar Nanofluid Over A Stretching Sheet

In this dissertation for Ph.D.our interest centered about the exploration of thermal transportation through nano-fluids across extending surfaces in existence of magnetic fields.Here the base flow is taken as that micro-polar,Reiner-Rivlin and Casson fluids.The non-uniform viscous effects are taken into consideration along with multiple slips.Diffusion of chemically radiative additives is explored with Arrhenius activation energy.The kinematics of micro-structures in the bulk flow has been described and the influences of parameters of micro-polarity of fluids are evaluated with physical interpretation.The impact for three cases of mass transpiration(injection f_w>0,impermeable wall f_w=0,suction f_w<0)are taken into account.The crux of this study is to evolve efficient heat transfer with enhancement in thermal conductivity through diffusion of nano-materials.The formulation of the completed problems is developed in partial differential form.For numerical solution purpose these non-linear PDE's are transmuted in to corresponding ordinary differential form by implementation of appropriate similarity functions.The fi-nally emerging ODE's in each problem are difficult to be solved analytically,thus reliable numerical procedure based on Runge-Kutta method with shooting technique is harnessed.Moreover our main focus is to explore the theoretical exportation for mass transporta-tion and thermal transpiration of Casson nano-fluid over an extending cylindrical surface.The stagnation point flow through porous matrix is influenced by magnetic field.Existence for the solution of momentum equation is proved for various values of Casson parameter?,magnetic parameter M,porosity parameter K_pand Raynolds number Re in two situations of mass transpiration(suction/injuction).In addition,uniqueness results are discussed and for skin friction factor are established to attain accuracy for large injection values.