### Heat and mass transfer effects on an unsteady mhd flow of a rotating fluid past a vertical porous plate

DOI: https://doi.org/10.12777/ijse.8.2.95-103

#### Abstract

An attempt is made to investigate the heat and mass transfer effects on an unsteady free convection flow of a rotating, incompressible, viscous Boussinesq fluid in presence of first order chemical reaction. The governing dimensionless equations for this investigation are solved numerically by a finite element method. A parametric study illustrating the influence of different flow parameters on velocity, concentration and temperature are investigated. Also the Skin – friction, Nusselt number and Schmidt number are shown through tabular forms. Numerical results are presented for various parameters.

#### Keywords

#### Full Text:

FULL TEXT PDF#### References

. Abramowitcz, M. and I. E. Stegun, Handbook of Mathematical Functions, 1972.

. Agrawal, H. L., P. C. Ram, V. Singh, Effects of Hall currents on the hydromagnetic free convection with mass transfer in a rotating fluid, Astrophys. Space Sci., Vol. 100, 1984, pp. 279 – 283.

. Azzam, G. E. A., Radiation effects on the MHD mixed free – fixed convective flow past a semi – infinite moving vertical plate for high temperature differences, Phys. Scripta., Vol. 66, 2002, pp. 71 – 76.

. Bestman, A. R. and S. K. Adjepong, Unsteady hydromagnetic free convection flow with radiative heat transfer in a rotating fluid, Astrophys. Space Sci., Vol. 143, 1998, pp. 217 – 224.

. Bestman, A. R., Free convection heat transfer to steady radiating non – Newtonian MHD flow past a vertical porous plate, Int. J. Numer. Methods Eng., Vol. 21, 1985, pp. 899 – 908.

. Chamkha, A. J., Thermal radiation and buoyancy effects on hydromagnetic flow over an accelerating permeable surface with heat source or sink, Int. J. Eng. Sci., Vol. 38, 2000, pp. 1699 – 1712.

. Chamkha, A. J., Unsteady MHD convective heat and mass transfer past a semi – infinite vertical permeable moving plate with heat absorption, Int. J. Eng. Sci., Vol. 42, 2004, pp. 217 – 230.

. Cookey, C. I., A. Ogulu, V. B. Omubo – Pepple, Influence of viscous dissipation and radiation on unsteady MHD free – convection flow past an infinite heated vertical plate in a porous medium with time dependent suction, Int. J. Heat Mass Transfer, Vol. 46, 2003, pp. 2305 – 2311.

. Elbarbary, E. M. E. and N. S. Elgazery, Chebyshev finite difference method for the effect of variable viscosity on magneto micro polar fluid flow with radiation, Mass Transfer Int. Comm. Heat, Vol. 31, No. 3, 2004, pp. 409 – 419.

. Helmy, K. A., Unsteady free convection flow past a vertical porous plate, ZAMM. Z. Agnew. Math. Mech., Vol. 78, No. 4, 1998, pp. 255 – 270.

. Ibrahim, F. S., I. A. Hassanien, A. A. Bakr, Unsteady magnetohydrodynamic micro polar fluid flow and heat transfer over a vertical porous medium in the presence of thermal and mass diffusion with constant heat source, Canad. J. Phys., Vol. 82, 2004, pp. 775 – 790.

. Jha, B. K., MHD free – convection and mass – transform flow through a porous medium, Astrophys. Space Sci., Vol. 175, 1991, pp. 283 – 289.

. Kandasamy, R., K. Periasamy and K. K. S. Prabhu, Effects of chemical reaction, heat and mass transfer along a wedge with heat source and concentration in the presence of suction or injection, Int. J. Heat Mass Transfer, Vol. 48, 2005, pp. 1288 – 1394.

. Kim, Y. J., Unsteady MHD convective heat transfer past a semi – infinite vertical porous moving plate with variable suction, Int. J. Eng. Sci., Vol. 38, 2000, pp. 833 – 845.

. Muthucumaraswamy, R. and P. Ganesan, Natural convection on a moving isothermal vertical plate with chemical reaction, J. Eng. Phys. Thermophys., Vol. 75, No. 1, 2002, pp. 51 – 75.

. Ogulu, A. and C. I. Cookey, MHD free – convection and mass transfer flow with radiative heat transfer, Model. Measure. Contr. B, Vol. 70, No. 1 – 2, 2001, pp. 31 – 37.

. Ram, P. C. and R. K. Jain, Hydromagnetic Ekman layer on convective heat generating fluid in slip flow regime, Astrophys. Space Sci., Vol. 168, 1990, pp. 103 – 109.

. Singh, A. K., N. C. Sacheti, Finite difference analysis of unsteady hydromagnetic free – convection flow with constant heat flux, Astrophys. Space Sci., Vol. 150, 1988, pp. 303 – 308.

**Published by Department of Chemical Engineering University of Diponegoro Semarang**