Department of Mathematics
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Item Effects of Fluctuating Surface Temperature and Concentration on Unsteady Convection Flow Past an Infinite Vertical Plate with Constant Suction(Begell House, 2009) Sharma, Bhupendra KumarCombined heat and mass transfer along an infinite vertical porous plate have been investigated when the temperature and concentration are assumed to oscillate in time about a constant mean. Assuming constant suction at the plate, approximate solutions are calculated by the perturbation method for transient velocity, temperature and concentration. The effects of various parameters on transient velocity, temperature, concentration, skin-friction, and rate of heat transfer have been discussed with the help of graphs and tables.Item Hydromagnetic unsteady mixed convection and mass transfer flow past a vertical porous plate immersed in a porous medium with the Hall effect(IFTR, 2008) Sharma, Bhupendra KumarThe present work is concerned with unsteady mixed convection and mass transfer flow with Hall effect of an electrically conducting incompressible viscous fluid through a porous medium bounded by an infinite vertical plate subjected to suction/injection velocity in the presence of a constant magnetic field. The magnetic field is applied transversely to the direction of the flow. The resulting problem has been solved analytically and the solutions are found for velocity, temperature, concentration of the species, skin-friction, surface heat flux and mass flux. The effects of material parameters on the flow characteristics are expressed and illustrated/discussed by graphs and tableItem Hall effect on MHD mixed convective flow of a viscous incompressible fluid past a vertical porous plate immersed in porous medium with heat source/sink(Romanian Academy, 2007) Sharma, Bhupendra KumarAn analysis is presented with unsteady MHD mixed convective flow of a viscous incompressible fluid past an infinite vertical porous flat plate in the presence of a heat source/sink with Hall effect. The solution is found to be dependent on the governing parameters including the Hartman number, the Prandtl number, the Grashof number, the Schmidt number, the Hall parameter, rotating parameter and the heat source/sink parameter. Representative results are presented and discussed for velocity, temperature, concentration species, surface heat flux, mass flux and skin friction coefficient with the help of graphs and tablesItem Radiation effect with simultaneous thermal and mass diffusion in MHD mixed convection flow from a vertical surface with ohmic heating(INSTITUTE OF ATOMIC PHYSICS, 2006) Sharma, Bhupendra KumarThe effects of radiation on heat transfer in MHD mixed convection flow and mass transfer past an infinite vertical plate with Ohmic heating and viscous dissipation have been discussed. Approximate solutions have been derived for the velocity, temperature field, concentration profiles, skin friction and rate of heat transfer using multi-parameter perturbation technique. The obtained results are discussed with the help of graphs to observe the effect of various parameter like Schmidt number (Sc), Prandtl number (Pr), Magnetic parameter (M) and radiation parameter (F), taking two cases viz. Case I: when Gr> 0 (ie flow on cooled plate) and Case II: Gr< 0 (ie flow on heated plate).