Document Type: Research Paper

Authors

university of lucknow

10.22061/jcarme.2020.2883.1301

Abstract

This study analyses the combined effect of chemical reaction and Soret number on MHD flow of a viscous and incompressible fluid near the exponentially accelerated infinite vertical plate in a rotating system. The fluid under consideration is electrically conducting and the medium is porous. A set of dimensionless governing equations of the model is obtained. As the equations are linear, an exact solution is derived by using Laplace technique. The effect of flow parameters on the concentration, temperature and velocity are discussed through graphs. It is noticed that the components of the velocity in both the directions can be increased by increasing the Soret number. And the velocities can be reduced by increasing the chemical reaction parameter. Tables depict the numerical values of the rate of change of momentum, concentration and temperature. Applications of the study arise in the field like solar plasma and planetary fluid dynamics systems, rotating MHD generators etc.

Graphical Abstract

Keywords

[1] Youn J. Kim,“Heat and mass transfer in MHD micropolar flow over a vertical moving porous plate in a porous medium”, T. P. M., Vol. 56, No. 1, pp.17–37, (2004).

[2] M. A. Sattar,“Unsteady hydromagnetic free convection flow with Hall current mass transfer and variable suction through a porous medium near an infinite vertical porous plate with constant heat flux”, Int. J. of E. Res., Vol. 18, No. 9, pp.  771-775, (1994).

[3] A. Raptis, and N. Kafousias,“Magnetohydrodynamic free convection flow and mass transfer through porous medium bounded by an infinite vertical porous plate with constant heat flux”, Can. J. Phys., Vol. 60, No.12, pp.1725-1729, (1982).

[4] V. M. Soundalgekar,“Effects of Mass Transfer and Free-Convection Currents on the Flow Past an Impulsively Started Vertical Plate”, J. Appl. Mech., Vol. 46, No. 4, pp. 757-760, (1979).

[5] V. Ramachandra Prasad, N. Bhaskar Reddy, and R. Muthucumaraswamy,“Radiation and mass transfer effects on two-dimensional flow past an impulsively started infinite vertical plate”, Int. J. of T. Sci., Vol. 46, No. 12, pp. 1251–1258, (2007).

[6] P. Ganesan,  and P. Loganathan,“Radiation and Mass transfer effects on flow of an incompressible viscous fluid past a moving vertical cylinder”, Int. J. of H.M.T., Vol. 45, No.21,  pp. 4281-4288, (2002).

[7] A. Raptis,“Radiation and free convection flow through a porous medium”, Int. Comm. In H.M.T., Vol. 25, No. 2, pp. 289–295, (1998).

[8] R. Muthucumaraswamy, P. Ganesan, and V. M. Soundalgekar,“Heat and mass transfer effect on flow past impulsively  started vertical plate”, Acta Mec.,  Vol. 146, No. 1-2, pp.1-8, (2001).

[9] M. A. Hossain, and H. S. Takhar,“Radiation effect on mixed convection along a vertical plate with uniform surface temperature”, H.M.T., Vol. 31, No. 4, pp. 243-248, (1996).

[10] R. Kandasamy, K. Periasamy, and K. K. Sivagnana Prabhu,“Chemical reaction, heat and mass transfer on MHD flow over a vertical stretching surface with heat source and thermal stratification effects”, Int. J. of  H.M.T., Vol. 48, No. 21-22, pp. 4557-4561, (2005).

[11] M. Q. Al-Odat, and T.A. Al-Azab,“Influence of chemical reaction on transient MHD free convection over a moving vertical plate”, E. J. for Eng. Res., Vol. 12, No. 3, pp. 15-21, (2007).

[12]H. P. Greenspan, The T. of R. F., Cambridge University Press, London (1968).

[13] Shalini Jain and Shweta Bohra “Radiation effects in flow through porous medium over a rotating disks with variable fluid properties”, Adv. in math. Phy., Vol. 3, No. 1, pp. 1-12, (2016).

[14] C. Y. Soong, and H. L. Ma.,“Unsteady analysis of non - isothermal flow and heat transfer between rotating co-axial disks”, Int. J. of H.M.T., Vol. 38, No. 10, pp. 1865 – 1878, (1995).

[15] J. M. Owen, and R. H. Rogers, Flow and heat transfer in rotating disc systems, Vol. I, Rotor – Stator Systems, John Wiley Sons, New York (1989).

[16]      R. Muthucumaraswamy, N. Dhanasekar,  and G. E. Prasad,“Rotation effects on unsteady flow past an accelerated isothermal vertical plate with variable mass transfer in the presence of chemical reaction of first order”, J. A.F. M., Vol. 6, No. 4, pp. 485-490, (2013).

[17] C. Y. Soong,“Thermal buoyancy effects in rotating non - isothermal flows”, Int. J. of R.M., Vol. 7, No. 6, pp. 435 - 446, (2001).

[18] J. K. Platten,“The Soret effect: A review of recent experimental results”, J. of app.mech., Vol. 73, No. 1, pp. 5-15, (2006).

 [19]      A. Postelnicu,“Influence of a magnetic field on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects”, Int. J. of H.M. T.,Vol. 47, No. 6-7. pp.1467-1472, (2004).

[20] A. Postelnicu,“Influence of chemical reaction on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects”, H.M. T., Vol. 43, No. 6, pp. 595-602, (2007).

 [21] O. D. Makinde,“On MHD mixed convection with Soret and Dufour effects past a vertical plate embedded in a porous medium”, L. A. App. Res., Vol. 41, No.1, pp. 63-68, (2011).

 [22] Ibrahim A. Abdallaha,“Analytic solution of heat and mass transfer over a permeable stretching plate affected by chemical reaction, internal heating, Dufour-Soret and Hall effect”, T.Sci., Vol. 13, No.2, pp.183-197, (2009).

 [23] J. Prakash, P. Durga Prasad, R. V. M. S. S. Kiran Kumar, and S. V. K. Varma,“ Diffusion-thermo effects on MHD free convective radiative and chemically reactive boundary layer flow through a porous medium over a vertical plate”, J.C.A.R.M.E., Vol. 5, No. 2, pp. 111-126, (2015).

[24] Shalini Jain and Rakesh Choudhary “Soret and Dufour effects on thermophoretic MHD flow and heat transfer over a non linear stretching with chemical reaction”, Int.J.Appl.C.M.,Springer,Vol.4, No.1,Article 50, (2018).

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