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Viscous Dissipation, Soret and Dufour Effects on MHD Free Convection Flow of Doubly Stratified Darcy Porous Medium with Internal Heat Generation


Affiliations
1 Department of Engineering Mathematics, GITAM University, Telangana, India
2 Department of Mathematics, NIT Pududchery, Karaikal, India
3 Department of Mathematics, Osmania University, Hyderabad, Telangana, India
     

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In this paper, the steady Magnetohydrodynamic free convection heat and mass transfer from a vertical surface in a doubly stratified Darcian porous medium has been studied. In addition viscous dissipation, internal heat generation, Soret and Dufour effects are presented numerically. The non–linear partial differential equations are transformed by a similarity transformation into a system of ordinary differential equations, which is solved numerically by using implicit Crank–Nicolson finite difference scheme. The effect of various parameters such as Lewis number, magnetic parameter, Buoyancy ratio, Soret number, Dufour number, thermal and solutal stratification and Heat generation parameters on velocity, wall temperature and concentration are analyzed through plots.

Keywords

Natural Convection, Darcy Porous Medium, MHD, Dufour and Soret Effects, Double Stratification, Viscous Dissipation, Heat Generation, Finite Difference Method.
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  • Chamkha A.J, Gorla R.S.R, and Ghodeswar, K. Non-similar solution for natural convective boundary layer flow over a sphere embedded in a porous medium saturated with a nanofluid. Transp Porous Media. 2011;86:13–22.

  • Srinivasacharya D, Pranitha J, and RamReddy Ch. Magnetic and double dispersion effects on free convection in a non-Darcy porous medium saturated with power-law fluid. International Journal for Computational Methods in Engineering Science and Mechanics. 2012;13: 210-218.

  • D.A. Nield, and A. Bejan. Convection in Porous Media. New York, Springer, (2013).

  • A.J. Chamkha, and A.M. Aly. MHD free convection flow of a nanofluid past a vertical plate in the presence of heat generation or absorption effects. Chemical Engineering Communications. 198 (2010) 425–441.

  • M.A.A. Hamada, I. Pop, and A.I. Md-Ismail. Magnetic field effects on free convection flow of a nanofluid past a vertical semi-infinite flat plate. Nonlinear Analysis: Real World Applications. 12 (2011) 1338–1346.

  • M. M. Rashidi, M. Ali, N. Freidoonimehr, B. Rostami, and M. Anwar Hossain. Mixed Convective Heat Transfer for MHD Viscoelastic Fluid Flow over a Porous Wedge with Thermal Radiation. Advances in Mechanical Engineering. 2014, Article ID 735939, 10 pages.

  • L. Prandtl. Essentials of Fluid Dynamics, Blackie, London, (1952).

  • Y. Jaluria, and K. Himasekhar. Buoyancy Induced Two Dimensional Vertical Flows in a Thermally Stratified Environment. Comput. Fluids. 11 (1983) 39–49.

  • P. A. Lakshmi Narayana, and P. V. S. N. Murthy. Free Convective Heat and Mass Transfer in a Doubly Stratified Non-Darcy Porous Medium. J. Heat Transf, 128 (2006) 1204–1212.

  • Ch. RamReddy, P. V. S. N. Murthy, A. M. Rashad, and A. J. Chamkha. Numerical study of thermally stratified nano fluid flow in a saturated non-Darcy porous medium. The European Physical Journal Plus. 129 (2014) 25-35.

  • T.L. Bergman, and R. Srinivasan. Numerical Solution of Soret Induced Double Diffusion in an Initially Uniform Concentration Binary Liquid. Int. J.Heat Mass Transfer. 32 (1989) 679-687.

  • D.T. Hurle, and E. Jakerman. Soret Driven Thermo Solutal Convection, J. Fluid Mech. 447 (1989) 667-687.

  • D. Srinivasacharya, and O. Surender. Non-Darcy Mixed Convection in a Doubly Stratified Porous Medium with Soret-Dufour Effects. International Journal of Engineering Mathematics. 2014, Article ID 126218, 9 pages.

  • P. A. Lakshmi Narayana, and P. V. S. N. Murthy. Soret and Dufour Effects on Free Convection Heat and Mass Transfer in a Doubly Stratified Darcy Porous Medium. J. Porous Media. 10 (2007) 613–623.

  • B.S Malga, and Govardhan, finite element analysis of fully developed free convection flow heat and mass transfer of a mhd / micropolar fluid over a vertical Channel. Jordan Journal of Mechanical and Industrial Engineering. Vol. 8(4), P:219 – 232.

  • R. Nicole, “Title of paper with only first word capitalized,” J. Name Stand. Abbrev., in press.

  • K. Elissa, “Title of paper if known,” unpublished.


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  • Viscous Dissipation, Soret and Dufour Effects on MHD Free Convection Flow of Doubly Stratified Darcy Porous Medium with Internal Heat Generation

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Authors

K. Govardhan
Department of Engineering Mathematics, GITAM University, Telangana, India
K. Kaladhar
Department of Mathematics, NIT Pududchery, Karaikal, India
Balasiddulu Malga
Department of Engineering Mathematics, GITAM University, Telangana, India
G. Nagaraju
Department of Engineering Mathematics, GITAM University, Telangana, India
S. Renuka
Department of Mathematics, Osmania University, Hyderabad, Telangana, India

Abstract


In this paper, the steady Magnetohydrodynamic free convection heat and mass transfer from a vertical surface in a doubly stratified Darcian porous medium has been studied. In addition viscous dissipation, internal heat generation, Soret and Dufour effects are presented numerically. The non–linear partial differential equations are transformed by a similarity transformation into a system of ordinary differential equations, which is solved numerically by using implicit Crank–Nicolson finite difference scheme. The effect of various parameters such as Lewis number, magnetic parameter, Buoyancy ratio, Soret number, Dufour number, thermal and solutal stratification and Heat generation parameters on velocity, wall temperature and concentration are analyzed through plots.

Keywords


Natural Convection, Darcy Porous Medium, MHD, Dufour and Soret Effects, Double Stratification, Viscous Dissipation, Heat Generation, Finite Difference Method.

References