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Influence of magnetic field and thermophoresis on transient forced convective heat and mass transfer flow along a porous wedge with variable thermal conductivity and variable Prandtl number. (English) Zbl 1367.76067

Summary: In this paper, the influence of magnetic field and thermophoresis on unsteady two-dimensional forced convective heat and mass transfer flow of a viscous, incompressible and electrically conducting fluid along a porous wedge in the presence of the temperature-dependent thermal conductivity and variable Prandtl number have been studied numerically. The governing nonlinear partial differential equations have been transformed into nonlinear ordinary one by introducing a similarity transformation. The transformed ordinary differential equations are solved for similar solutions by applying Nachtsheim-Swigert shooting iteration technique along with the Runge-Kutta integration scheme. Comparison with beforehand published work is performed and excellent agreement is found. Results for the dimensionless velocity, temperature, concentration, thermophoretic velocity and thermophoretic particle deposition velocity are presented for various parametric conditions. The numerical results show that the thermophoretic particle deposition velocity significantly influenced by the magnetic field parameter. Moreover, it is found that the rate of heat transfer significantly influenced by the variation of the thermal conductivity and Prandtl number. Thus, in any physical model where thermal conductivity of the fluid is temperature dependent, the Prandtl number within the boundary layer must be treated as variable rather than constant.

MSC:

76W05 Magnetohydrodynamics and electrohydrodynamics
76R05 Forced convection
80A20 Heat and mass transfer, heat flow (MSC2010)
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