Dufour Effect on a Viscous MHD Flow Past An Oscillating Infinite Vertical Plate WithVariable Temperature and Variable Mass through Porous Media

M.Rajaiah*, A. Sudhakaraiah**, M. Sivaiah***, P. Venkatalakshmi****
* Professor, (Mathematics) and Head, Department of Humanities and Sciences, ASCET, Gudur, Nellore (Dt).
** Senior Assistant Professor, Department of Future Studies, S.V. University, Tirupati, A.P, India.
*** Senior Lecturer and Head, Department of Mathematics, NBKR Arts & Science Degree College, Vidyanagar, Nellore (Dt), A.P, India.
**** Professor(Mathematics), Department of Humanities and Sciences, ASCET, Gudur, Nellore (Dt).
Periodicity:July - September'2014
DOI : https://doi.org/10.26634/jmat.3.3.3109

Abstract

This paper analyzes the Dufour and Soret effects on the MHD flow with heat and mass transfer on flow past an oscillating infinite vertical plate with variable temperature and variable mass through porous medium. The dimensionless governing partial differential equations are solved by using finite difference method. The velocity, temperature and concentration profiles are considered for different physical parameters. The results are analyzed through graphs and tables. It is observed that the velocity profiles increase through increase in Dufour (Du) and Soret (Sr) numbers and decrease with increase in permeability (K) and suction parameter (V ). An increase in increase in Du, leads to increase 0 in the temperature. The concentration profiles increase with increase in Prandtl (Pr) and Soret numbers, wt and decreases through increase in Schmidt number (Sc), , Du, and also with suction V . The shear stress increases with 0 increase in modified Gr, K, Ec, Du, Sc, V and decreases through an increase in Hartmann (M)and Grashof (Gr) numbers, 0 Pr, Sr, and . Increase in M, Gc, K, Pr, Sr, and V causes decrease in the rate of heat transfer and increase in Gr, Ec, Du, , 0 and Sc leads to increase in the rate of heat transfer. The rate of mass transfer increases through an increase in M, Gr, Gc, K, Pr, Du, and V and decreases with an increase in Ec, Sr, , and Sc. In the absence of suction, viscous dissipation, and 0 mass transfer, the results obtained were good agreement with Sarswat and Srivastava (16). The graphs are drawn to show the comparative study.

Keywords

Viscous MHD Flow, Oscillating Infinite Vertical Plate, Variable Temperature

How to Cite this Article?

Rajaiah, M., Sudhakaraiah, A., Sivaiah, M., and Venkatalakshmi, P. (2014). Dufour Effect on a Viscous Mhd Flow Past An Oscillating Infinite Vertical Plate With Variable Temperature and Variable Mass through Porous Media. i-manager’s Journal on Mathematics, 3(3), 43-56. https://doi.org/10.26634/jmat.3.3.3109

References

[1]. Soundalgekar V. M. (1999). “Free convection effects on the Stoke's problem for an infinite vertical plate”. ASME Journal of Heat Transfer, pp.499-501.
[2]. Soundalgekar V. M. & Patil M.R. (1980a). “On flow past a vertical oscillating plate with variable temperature”. Latin American Journal of Heat and Mass Transfer, Vol.(4), pp.143–148.
[3]. Soundalgekar V. M. & Patil M. R. (1980b). “Stokes problem for a vertical plate with constant heat flux”. Astrophysics Space Science, Vol.70, pp.179–182.
[4]. Jha B.K. (1991). “MHD free-convection and mass transform flow through a porous medium”. Astrophysics and Space science, Vol.175, pp.283-289.
[5]. Muthucumaraswamy, R., and Vijayalakshmi (2008). “A Effect of heat and mass transfer on flow past an oscillating vertical plate with variable temperature”. Int. J. of Appl. Math. and Mech, Vol.4(1), pp.59-65.
[6]. Muthucumaraswamy, R., & Sathappan K.E et al., (2008). “Heat transfer effects on flow past an exponentially accelerated vertical plate with variable temperature”. Theoretical Applied Mechanics, Vol.35(4), pp.323-333.
[7]. Muthucumaraswamy, R., & Valliamal, V. (2009). “First order chemical reaction on exponentially accelerated isothermal vertical plate with mass diffusion”. International Journal of Engineering, TUME VII, fascicule (ISSN 1584-2665).
[8]. Muthucumaraswamy, R., Sundar Raj, M., & Subramanian, V. S. A. (2009). “Unsteady flow past an accelerated infinite vertical plate with variable temperature and mass diffusion”. International Journal of Applied Mathematics and Mechanics, Vol.5(6), pp.51-56 .
[9]. Makinde, O. D. (2009). “On MHD boundary-layer flow and mass transfer past a vertical plate in a porous medium with constant heat flux”. Int. J. of Num. Methods for Heat & Fluid Flow, Vol.19, Nos. 3/4, pp.546-554.
[10]. V. Rajesh, (2010). “MHD effect of free convection and mass transform flow through a porous medium with variable temperature”, Int. J. of Appl. Math and Mech. Vol.6 (14), pp.1-16.
[11]. B. K. Sharma, et al. (2011). “Hydromagnetic Unsteady Mixed Convection Flow Past an Infinite Vertical Porous Plate”. Applied Mathematics, Vol.1(1), pp.39-45.
[12]. Salema, A. M., & Rania Fathy, (2012). “Effects of variable properties on MHD heat and mass transfer flow near a stagnation point towards a stretching sheet in a porous medium with thermal radiation”. Chin. Phys. B, Vol.21(5), 054701, pp.1-11.
[13]. Sahin Ahmed, et al. (2012). “Mathematical Modeling of MHD Transient Free and Forced Convective Flow with Induced Magnetic Field Effects”. Int. J. Pure Appl. Sci. Technol., Vol.11(1), pp.109-125.
[14]. Idowu, A. S.et al. (2013). “Heat and Mass Transfer Of MHD and Dissipative Fluid Flow Past A Moving Vertical Porous Plate with Variable Suction”. Mathematical Theory and Modeling (Online), Vol.3(3).
[15]. Jha, B.K., & Jibril, H.M. (2013). “Unsteady hydromagnetic Couette flow due to ramped motion of one of the porous plates”, Int. J. of Applied Mech. and Engineering, Vol.18(4), pp.1039-1056.
[16]. Amit Saraswat., & Srivatsava, R. K. (2013). “MHD Flow Past An Oscillating Infinite Vertical Plate With Variable Temperature Through Porous Media”, IJETCAS, 6(5), September-November, pp.370-374.
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