This communication investigates the effect of permeability variation on the heat transfer and the flow through a highly porous medium bounded by an infinite flat porous plate with constant suction. The permeability of the porous medium varies in space and time both. The problem becomes three dimensional due to the periodic variation of permeability in the transverse direction. The governing equations are solved by adopting complex variable notations and the expressions for the velocity and temperature fields are obtained. The wall shear stress and rate of heat transfer are finally discussed. It is found that the amplitudes |L|, |M|, |H|, respectively, of the skin friction components in the main and transverse directions and the rate of heat transfer, all decrease with the increase of the permeability of the porous medium, K0, or the frequency of the permeability fluctuations, ω.
Abstract:The influence of induced magnetic field and wall conductance on oscillating hydromagnetic flow of viscous incompressible electrically conducting fluid with arbitrary conducting walls in a channel has been analyzed. A uniform magnetic field H0 is applied perpendicular to the walls. Solution of velocity field, induced magnetic, and temperature field are obtained. The numerical calculation is carried out and results are illustrated using graphs and tables.
The present study analyses the effects of Hall current and heat absorption on a viscous, incompressible, optically thick and electrically conducting viscoelastic fluid flow past an infinite vertical porous plate through porous medium in rotating system with variable suction, thermal radiation and chemical reaction in the presence of uniform magnetic field. The perturbation technique is employed to solve the governing nonlinear partial differential equations to obtain the expressions for velocity, temperature and concentration profile. With the help of graphs and tables, the effects of pertinent flow parameters on the velocity, temperature and concentration fields, shear stress, Nusselt number and Sherwood number within the boundary layer are discussed. The results reveal that the observed parameters in rotating system have a noteworthy influence on the ow, heat and mass transfer.
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