×

zbMATH — the first resource for mathematics

MHD free convection and mass transfer flow over an infinite vertical porous plate with viscous dissipation. (English) Zbl 1299.76080
Summary: An unsteady, two-dimensional, hydromagnetic, laminar mixed convective boundary layer flow of an incompressible and electrically-conducting fluid along an infinite vertical plate embedded in the porous medium with heat and mass transfer is analyzed, by taking into account the effect of viscous dissipation. The dimensionless governing equations for this investigation are solved analytically using two-term harmonic and non-harmonic functions. Numerical evaluation of the analytical results is performed and graphical results for velocity, temperature and concentration profiles within the boundary layer are discussed. The results show that increased cooling (\(Gr>0\)) of the plate and the Eckert number leads to a rise in the velocity profile. Also, an increase in Eckert number leads to an increase in the temperature. Effects of \(S_c\) on velocity and concentration are discussed and shown graphically.

MSC:
76E25 Stability and instability of magnetohydrodynamic and electrohydrodynamic flows
76N20 Boundary-layer theory for compressible fluids and gas dynamics
76W99 Magnetohydrodynamics and electrohydrodynamics
76R10 Free convection
76S05 Flows in porous media; filtration; seepage
PDF BibTeX XML Cite
Full Text: DOI