MHD free convection and mass transfer flow over an infinite vertical porous plate with viscous dissipation. (English) Zbl 1299.76080

Poonia, Hemant; Chaudhary, R. C.

Theor. Appl. Mech. (Belgrade) 37, No. 4, 263-287 (2010).

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

Keywords:

heat transfer; free convection flow; porous medium