DOUBLE-DIFFUSIVE CONVECTION-RADIATION INTERACTION ON UNSTEADY MHD FLOW OF A MICROPOLAR FLUID OVER A VERTICAL MOVING POROUS PLATE EMBEDDED IN A POROUS MEDIUM WITH CHEMICAL REACTION AND SORET EFFECTS
Main Article Content
Abstract
This paper investigation is concerned with the first-order homogeneous chemical reaction and thermal radiation on hydromagnetic free convection heat and mass transfer for a micropolar fluid past a semi-infinite vertical moving porous plate in the presence of thermal diffusion. The Rosseland approximation is used to describe the radiative heat flux in the energy equation. The plate moves with constant velocity in the direction of fluid flow while the free stream velocity is assumed to follow the exponentially increasing small perturbation law. A uniform magnetic field acts perpendicular to the porous surface, which absorbs the fluid with a suction velocity varying with time. Numerical results of velocity profiles of micropolar fluids are compared with the corresponding flow problems for a Newtonian fluid. The dimensionless governing equations for this investigation are solved analytically using two-term harmonic and non-harmonic functions. The effects of various parameters on the velocity, microrotation, temperature and concentration fields as well as the skin-friction coefficient, Nusselt number and the Sherwood number are presented graphically and in tabulated forms.
Keywords: Thermal radiation; MHD; Micropolar; Chemical reaction; Soret effects. Â
Downloads
Article Details
References
Eringen A.C. (1960), Theory of micropolar fluids, J. Math. Mech., Vol.6, pp.1– 18.
Eringen A.C. (1972), Theory of thermomicrofluids, Math. Anal. Appl. J., Vol. 38 pp.481–496.
Ariman T., Turk M.A., Sylvester N.D. (1974), Applications of microcontinuum fluid mechanics, Int. J. Eng. Sci., Vol. 12, pp.273–293.
Lukaszewicz G. (1999), Micropolar Fluids: Theory and Applications, Birkhauser, Basel.
Peddiesen J., McNitt R.P. (1970), Boundary layer theory for micropolar fluids, Recent Adv. Eng.Vol. 5, pp.405–426.
Wilson A.J (1970), Boundary layers in micropolar fluids, Proc. Camb. Phil. Soc., Vol.67, pp.460–476.
Ahmadi G (1976), Self-similar solution of incompressible micropolar boundary layer flow over a semi- infinite plate, Int. J. Engi. Sci., Vol.14, pp.639–646.
Soundalgekar V.M and Takhar H.S (1983), Flow of a micropolar fluid on a continuous moving plate, Int.J. Eng. Sci., Vol 21, p. 961.
Seddeek M.A. (2000), The effect of variable viscosity on hydromagnetic flow and heat transfer past a continuously moving porous boundary with radiation, Int. Commun. Heat Mass Transfer,Vol 27, 1037–1046.
Seddeek M.A. (2001), Thermal radiation and buoyancy effects on MHD free convective heat generating flow over an accelerating permeable Surface with temperature-dependent viscosity, Can. J. Phys. Vol.79, 725–732.
Ghaly A.Y and Elbarbary E.M.E. (2002), Radiation effect on MHD free-convection flow of a gas at a stretching surface with a uniform free stream, J. Appl. Math.,Vol. 2, 51–60.