Effect of Soret-Dufour and Variable Viscosity on Fluid Flow past an Inclined Infinite Plate through Porous Medium with Periodic Suction or Injection

M.S. Quraishi¹ , N. Pandya²

Section:Research Paper, Product Type: Journal-Paper
Vol.6 , Issue.9 , pp.49-57, Sep-2020

Online published on Sep 30, 2020

Copyright © M.S. Quraishi, N. Pandya . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this research article we have analyzed Soret and Dufour effects on unsteady fluid flow through porous medium past an inclined infinite plate with periodic suction or injection of fluid through the plate and variable viscosity under exponential increment in temperature and exponentially decreasing concentration. The governing partial differential equations that described the flow pattern have been converted into dimensionless equations of flow field and are solved numerically by finite difference implicit Crank Nicolson method for different values of parameters that govern flow flied. The effects of various flow parameters have been shown through graphs and table. The velocity profile, concentration profile and temperature profile are shown through graphs for different values of flow parameters.

Key-Words / Index Term :
Soret effect, variable viscosity, porous medium, heat and mass transfer and Crank Nicolson finite difference implicit method

References :
[1] E. M. Sparrow, R. D. Cess “Effect of Magnetic ?eld on free convection heat transfer”, Int. J Heat Mass Transfer, Vol.3, pp. 267-70, 1961.
[2] M. S. Alam, M. M. Rahman, “Dufour and Soret effect on MHD free convective Heat and Mass transfer ?ow past a vertical ?at plate embedded in a porous medium”, Journal of Naval Architecture and Marine engineering, Vol.2(1), pp.55-65, 2005.
[3] Z. Dursunkaya, W.M. Worek , “Diffusion thermo and thermal diffusion effects in transient and steady natural convection from vertical surface, International Journal of Heat and Mass Transfer,Vol.35(8), pp.2060-2065, 1992.
[4] A. Postelnicu, “In?uence of a magnetic ?eld on heat and mass transfer by natural convection from vertical surface in porous media considering Soret and Dufour effects”, International Journal of Heat and Mass Transfer, Vol.47(67), pp.1467-1472, 2004.
[5] A. Raptis, C. Perdikis, “Radiation and free convection ?ow past a moving plate”, Appl. Mech. Eng. Vol.4(4), pp.817-821, 1999.
[6] M. Bhavana, D. Kesaraiah Chenna, A. Sudhakarraiah, “The Soret effect on free convective unsteady MHD ?ow over a vertical plate with heat source”, Int. J. of Innovative R. in Sci. Eng. And Tech, Vol.2(5), pp.1617-1628, 2013.
[7] N. Pandya and M. S. Quraishi, “Effect of Variable Permeability and Variable Magnetic field on MHD Flow past an inclined plate with exponential Temperature and Mass Diffusion with Chemical reaction through Porous media”, International Journal of Scientific Research in Physics and Applied Sciences, Vol.6, Isuue 5, pp.62-68, 2018.
[8] Jang, J. -Y. and C. -N. Lin, “Free Convection Flow over a Uniform-Heat-Flux Surface with Temperature-Dependent Viscosity”, Heat Mass Transfer, Vol.23, pp.213–217, 1988.
[9] Pop, I., R. S. R. Gorla and M. Rashidi, “The Effect of Variable Viscosity on Flow and Heat Transfer to a Continuous Moving Flat Plate”, Int. J. Eng. Sci., Vol.30, pp.1–6, 1992.
[10] Massoudi, M. and I. Christie, “Effects of Variable Viscosity and Viscous Dissipation on the Flow of Third Grade Fluid in a Pipe”, Int. J. Non-Linear Mech. Vol.30, pp.687–699, 1995.
[11] Kafoussias, N. G. and E. W. Williams, “The Effect of Temperature-Dependent Viscosity on Free-Forced Convective Laminar Boundary Layer Flow Past a Vertical Isothermal Flat Plate”, Acta Mech., Vol.110, pp.123–137, 1995.
[12] Hady, F. M., A. Y. Bakier and R. S. R. Gorla, “Mixed Convection Boundary Layer Flow on a Continuous Flat Plate with Variable Viscosity”, Heat Mass Transfer, Vol.31, pp.169–172, 1996.
[13] Hayat, T., R. Ellahi and S. Asghar , “The Influence of Variable Viscosity and Viscous Dissipation on the Non-Newtonian Flow: Analytical Solution”, Commun. Nonlinear Sci. Numer. Simulat., Vol.12, pp.300–313, 2007.
[14] Md. A. Hossain, and Md. S. Munir , “Mixed Convection Flow from a Vertical Flat Plate with Temperature Dependent Viscosity”, Int. J. Therm. Sci., Vol.39, pp.173–183, 2000.
[15] Md. A. Hossain, Md. S. Munir and D. A. S. Rees, “Flow of Viscous Incompressible Fluid with Temperature Dependent Viscosity and Thermal Conductivity Past a Permeable Wedge with Uniform Surface Heat Flux”, Int. J. Therm. Sci., Vol.39, pp.635–644, 2000.
[16] M. E. Ali, “The Effect of Variable Viscosity on Mixed Convection Heat Transfer Along a Vertical Moving Surface”, Int. J. Therm. Sci., Vol.45, pp.60–69, 2006.
[17] S. Begai, “Effect of Variable Viscosity on Free Convection over a Non-Isothermal Axisymmetric Body in a Porous Medium with Internal Heat Generation”, Acta Mech., Vol.169, pp.187–194, 2004.
[18] Y. Ke and V. S. Solomatov, “Plume Formation in Strongly Temperature-Dependent Viscosity Fluid over a Very Hot Surface”, Phys. Fluids, Vol.16, pp.1059–1063, 2004.
[19] M. A. A. Mahmoud, “Variable Viscosity Effects on Hydromagnetic Boundary Layer Flow along a Continuously Moving Vertical Plate in the Presence of Radiation”, Appl. Math. Sci. (Hikari), Vol.1, pp.799–814, 2007.
[20] M. A. A. Mahmoud, “Effect of Variable Viscosity on Combined Forced and Free Convection Boundary-Layer Flow over a Horizontal Plate with Blowing or Suction”, J-KSIAM, Vol.11, pp.57–70, 2007.
[21] Hayat, T. and N. Ali, “Effect of Variable Viscosity on the Peristatic Transport of a Newtonian Fluid in an Symmetric Channel”, Appl. Math. Model, Vol.32, pp.761–774, 2008.
[22] S. Mukhopadhyay and G. C. Layek, “Effect of Thermal Radiation and Variable Fluid Viscosity on Free Convective Flow and Heat Transfer Past a Porous Stretching Surface”, Int. J. Heat Mass Transfer, Vol.51, pp.2167–2178, 2008.
[23] A. A. Mahmoud Mostafa, “Thermal Radiation Effect on Unsteady MHD Free Convection Flow Past a Vertical Plate with Temperature-dependent Viscosity”, Can. J. Chem. Eng., Vol.87, pp.47–52, 2009.
[24] B. Carnahan, H. A. Luthor, J. O. Wilkes, “Applied Numerical Methods, John Wiley and Sons, New York, 1969.