Keywords:-

Keywords: MHD, Couette Flow, Heat and Mass Transfer, Slip Condition, Variable Suction

Article Content:-

Abstract

The effect of variable suction on unsteady magneto hydrodynamic free convective couette flow of a viscous incompressible electrically conducting fluid in the slip flow regime in presence of variable suction with heat and mass transfer was analyzed. The governing equations of the flow field were solved employing perturbation technique which gave the expressions for the velocity, temperature, concentration and the rate of heat and mass transfer. The effects of the flow parameters such as magnetic parameter M, permeability parameter Kp, Grashof number for heat transfer Gr, suction parameters α1, α2; slip flow parameter h1, h2; Prandtl number Pr etc. on the flow field have been studied and the results are presented graphically and discussed quantitatively.

References:-

References

L. N. Tao, Magnetohydrodynamic effects on the formation of Couette flow, J.

Aerospace Sci., 27(1960)334-338.

M. A. Sattar, Free and forced convection boundary layer flow through a porous

medium with large suction, Int. J. Energy Res., 17(1993)1-7.

M. A. Sattar and M. M. Alam, Thermal diffusion effect as well as transpiration effect

on MHD free convection and mass transfer flow past an accelerated vertical porous

plate, Ind. J. Pure Appl. Math., 25(6)( 1994)679-688.

H. A Attia and N. A Kotb, MHD flow between two parallel plates with heat transfer,

Acta Mech., 117(1996)215-220.

S. S. Das, G. C. Dash and N. K. Kamila, Hydromagnetic flow and heat transfer

between two stretched/squeezed horizontal porous plates, Int. J. Math. Engng.

Indust.,8(2)(2001)161-176.

P. Nagraju, A. J. Chamkha, H. S. Takhar and B. C.Chandrasekhara, Simultaneous

radiative and convective heatmtransfer in a variable porosity medium, Heat and Mass

Transfer, 37,(2001)243-250. 7. R.Taneja and N. C. Jain, Hydrodynamic flow in slip flow regime with time-dependent

suction, Ganita, 53(1) (2002):13-22. 8. S. S. Das, J. P. Panda and G. C. Dash, Finite difference analysis of hydromagnetic

flow and heat transfer of an elasticoviscous fluid between two horizontal parallel

porous plates,AMSE J. Mod. Meas. Cont. B., 73 (2) (2004): 31-44.

A. Ogulu and J. Prakash, Finite difference analysis of oscillatory MHD slip flow along

a porous vertical wall in a medium with variable suction in the presence of radiation,

AMSE J. Mod. Meas. Cont. B., 73(3)(2004):61–68.

O. D. Makinde, Free convection flow with thermal radiation and mass transfer past a

moving vertical porous plate, Int. Commun. Heat Mass Transfer, 32(2005):1411-1419.

S. S. Das, S. K. Sahoo, G. C. Dash and J. P. Panda, Laminar flow of elastico-viscous

Rivlin-Ericksen fluid through porous parallel plates with suction and injection, the

lower plate being stretched, AMSE J. Mod. Meas. Cont. B, 74(8) (2005):1-22.

A. Ogulu and S. S. Motsa, Radiative heat transfer to magneto-hydrodynamic couette

flow with variable wall temperature., Phys. Scripta, 71 (4)(2005): 336-339. 13. R. Cortell, Flow and heat transfer of a fluid through a porous medium over a stretching

surface with internal heat generation/absorption and suction/ blowing., Fluid

Dynamics Res.,37 (2005): 231-245.

S. S. Das, S. K Mohanty, J. P. Panda and S. Mishra, Effect of heat source and variable

magnetic field on unsteady hydromagnetic flow of a viscous stratified fluid past a

porous flat moving plate in the slip flow regime, Advances Appl. Fluid Mech., 4 (2)

(2008):187-203.

S. S. Das, M.Mohanty, J. P. Panda. and S. K. Sahoo, Hydromagnetic three

dimensional couette flow and heat transfer, J. Naval Architect. Marine Engng., 5 (1)

(2008):1-10.

S. S. Das, R. K. Tripathy, S. K Sahoo and B. K. Dash, Mass transfer effects on free

convective MHD flow of a viscous fluid bounded by an oscillating porous plate in the

slip flow regime with heat source, Int. J. Phys. Sci. Ultra Sci., 20 (1) (2008):169-176. 17. P. R. Sharma and G. Singh, Unsteady MHD free convective flow and heat transfer

along a vertical porous plate with variable suction and internal heat generation, Int. J.

Appl. Math. Mech.,4(5) (2008): 1-8.

S. S. Das, J. Mohanty, S. Panda and B. K. S. Pattanaik, Effect of variable suction and

radiative heat transfer on MHD couette flow through a porous medium in the slip flow

regime. Int. J. Elixir Chem. Engg. 54 (2013): 12431-12437.

Sib Sankar Manna, Sanatan Das and Rabindra Nath Jana 2012. Effects of radiation on

unsteady MHD free convective flow past an oscillating vertical porous plate

embedded in a porous medium with oscillatory heat flux. Pelagia Research Library.

Advances in Applied Science Research, 3 (6):3722-3735

K. sarada and B. shanker 2013. The effect of chemical reaction on an unsteady MHD

free convection flow past an infinite vertical porous plate with variable suction. Int. J.

of Modern Engineering Research. Vol.3, pp-725-735. ISSN: 2249-6645.

Downloads

Citation Tools

How to Cite
P., A., K.M., J., A.A., A., & M.A., M. (2015). Effect of Variable Suction on Magneto Hydrodynamic Couette Flow through a Porous Medium in the Slip Flow Regime with Heat and Mass Transfer. International Journal Of Mathematics And Computer Research, 3(03), 925-937. Retrieved from http://ijmcr.in/index.php/ijmcr/article/view/86