PERTURBATION ANALYSIS OF FREE CONVECTIVE MHD FLOW OF A MICROPOLAR FLUID WITH OHMIC HEATING AND VISCOUS DISSIPATION OVER A CHEMICALLY REACTING PLATE SUBJECTED TO A CONSTANT HEAT FLUX AND CONCENTRATION GRADIENT

Abstract

In this paper the study of a chemically reacting free convection MHD micropolar flow, heat and mass transfer in with the effects of ohmic heating and viscous dissipation past an infinite vertical plate which is subjected to a constant heat flux and a concentration gradient. The non-linear coupled partial differential equations are solved by using multi parameter perturbation technique. The results for transverse velocity, angular velocity and temperature are obtained and illustrated graphically to observe the effects of various parameters on these functions. The numerical discussion with physical analysis of the influence of various parameters also presented

Keywords

• Heat transfer, mass transfer, heat generation, concentration, inclined wall

References

1. [1] Ghebhart, B. and Pera, L., The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal and mass diffusion, Int. J. Heat Mass Transfer, 14, 2025-2050, 1971.
2. [2] Sparrow, E.M., Minkowycz, W.J. and Eckert, E.R.G., Transpiration – induced buoyancy and thermal diffusion in a helium air free convection boundary layer, J. Heat Trans. ASME, 86, 508-514, 1964.
3. [3] Soundalgekar, V.M., Effects of mass transfer on free convective flow of a dissipative incompressible fluid past a infinite vertical porous plate with suction, Proc. Indian Acad. Sci., 84, 194-203, 1976.
4. [4] Acharya, M., Das, G.C. and Singh, L.P., Magnetic field effects on the free convection and mass transfer flow through porous medium with constant suction and constant heat flux, Indian J. Pure Appl. Math., 31, 1-18, 2000.
5. [5] Singh, K.D. and Chand, K., Unsteady free convective MHD flow past a vertical porous plate with variable temperature, Proc. Nat. Acad. Sci., 70, 49-58, 2000.
6. [6] Yamamoto, K. and Iwamura, N., Flow with convective acceleration through a porous medium, J. Engin. Math., 10, 41-54, 1976.
7. [7] Yamamoto, K. and Yoshida, Z., Flow through a porous wall with convective acceleration, J. Phys. Soc. Japan, 37, 774-779, 1974.
8. [8] Brinkman, H.C., A calculation of a viscous force extend by a flowing fluid on a dense swarm of particles, Appl. Sci. Res., 1, 27-34, 1947.

9. [9] Raptis, A., Perdikis, C. and Tzivanidis, G., Free convection flow through a porous medium bounded by a vertical surface, J. Phys. D : Appl. Phys., 14, 99-102, 1981.
10. [10] Raptis, A. and Kafousias, N.G., Free convection and mass transfer flow through a porous medium under the action of a magnetic field, Rev. Roum. Sci. Techn. - Mec. Appl., 27, 37- 43, 1982.
11. [11] Raptis, A., Effects of couple stresses on the flow through a porous medium, Rheol. Acta, 21, 736-737, 1982.
12. [12] Raptis, A., Megnetohydrodynamic flow of a polar fluid through a porous medium, Bull. de la classe des Sc., 69, 530-534, 1983.
13. [13] Kandasamy, R. and Devi, S.P.A., Effects of chemical reaction, heat and mass transfer on non-linear laminar boundary-layer flow over a wedge with suction or injection, Journal of Computational and Applied Mechanics, 5, 21-31, 2004.
14. [14] Kumar, H., Heat Transfer in MHD Boundary- Layer Flow through a Porous Medium, Due to a Non-Isothermal Stretching Sheet, with Suction, Radiation, and Heat Annihilation, Chem Eng Comm 200, 1-12, 2013.
15. [15] Asghar, S., Hanif, K., Hayat, T. and Khalique, C.M., MHD non-newtonian flow due to noncoaxial rotations of an accelerated disk and a fluid at infinity. Communications in Nonlinear Science and Numerical Simulation, 12, 465-485, 2007.
16. [16] Chen, C.H., Combined heat and mass transfer in MHD free convection from a vertical surface with Ohmic heating and viscous dissipation, Int. J. Engineering Science, 42, 699- 713, 2004.