Unsteady Magnetohydrodynamic Mixed Convective Flow of a Reactive Casson Fluid in a Vertical Channel Filled with a Porous Medium

Article Preview

Abstract:

This article analyses the thermal decomposition in an unsteady MHD mixed convection flow of a reactive, electrically conducting Casson fluid within a vertical channel filled with a saturated porous medium and the influence of the temperature dependent properties on the flow. The fluid is assumed to be incompressible with the viscosity coefficient varying exponentially with temperature. The flow is subjected to an externally applied uniform magnetic field. The exothermic chemical kinetics inherent in the flow system give rise to heat dissipation. A technique based on a semi-discretization finite difference scheme and the shooting method is applied to solve the dimensionless governing equations. The effects of the temperature dependent viscosity, the magnetic field and other important parameters on the velocity and temperature profiles, the wall shear stress and the wall heat transfer rate are presented graphically and discussed quantitatively and qualitatively. The fluid flow model revealed flow characteristics that have profound ramifications including the increased heat transfer enhancement attributes of the reactive temperature dependent viscosity Casson fluid flow.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

33-49

Citation:

Online since:

April 2021

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2021 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] Y. Bernabe, A. Maineult, Physics of Porous Media: Fluid Flow through Porous Media, Treatise on Geophysics 11 (2015) 19 - 41.

DOI: 10.1016/b978-0-444-53802-4.00188-3

Google Scholar

[2] D.B. Ingham, I. Pop, Transport Phenomena in Porous Media, Elsevier Science Ltd, United Kingdom, (1998).

Google Scholar

[3] D.A. Nield, Convection in porous media, Springer, New York, (2006).

Google Scholar

[4] T. Hayat, S.Q.S. Ali Shehzad and A. Alsaedi, MHD nonlinear convective flow of Oldroyd-B fluid in a Darcy-Forchheimer porous medium with heat generation/absorption, J. Porous Media 21(5) (2018) 389 - 404.

DOI: 10.1615/jpormedia.v21.i5.10

Google Scholar

[5] A.S. Begun, N. Nithyadevi, Numerical study on the effect of magnetic field in a porous enclosure using nanofluid with mid-horizontal moving lid: Brinkman-Forchheimer extended Darcy model, J. Porous Media 21(5) (2018) 457 - 470.

DOI: 10.1615/jpormedia.v21.i5.50

Google Scholar

[6] L. Rundora, O.D. Makinde, Buoyancy effects on unsteady reactive variable properties fluid flow in a channel filled with a porous medium, J. Porous Media 21(8) (2018) 721 - 737.

DOI: 10.1615/jpormedia.2018015707

Google Scholar

[7] J. Hartmann, Theory of laminar flow of an electrically conducting liquid in a homogeneous magnetic field, Hg-Dyn I Math Fys Med 15 (1937) 1 – 28.

Google Scholar

[8] R.K. Dash, K.N. Mehta and G. Jayaraman, Casson fluid flow in a pipe filled with a homogeneous porous medium, Int. J. Eng Sci 34 (1996) 1145 - 1156.

DOI: 10.1016/0020-7225(96)00012-2

Google Scholar

[9] N. Casson, A flow equation for pigment oil-suspensions of the printing ink type, Rheolgy of Disperse Systems, C.C. Mill, ed. Pergamon Press, London, (1959).

Google Scholar

[10] I.L. Animasaun, E.A. Adebile and A.I. Fagbade, Casson fluid flow with variable thermos-physical property along exponentially stretching sheet with suction and exponentially decaying internal heat generation using the homotopy analysis method, J. Nigerian Math Society 35 (2016) 1-17.

DOI: 10.1016/j.jnnms.2015.02.001

Google Scholar

[11] G. Radha, N. Bhaskar Reddy and K. Gangadhar, Slip flow of Casson fluid with variable thermos-physical properties along exponentially stretching sheet under convective heating, Int. J. Mechanics and Solids 12(2) (2017) 235 - 256.

Google Scholar

[12] H.R. Kataria, H.R. Patel, Radiation and chemical reaction effects on MHD Casson fluid past an oscillating vertical plate embedded in porous media, Alexandria Eng J 55 (2016) 583 - 595.

DOI: 10.1016/j.aej.2016.01.019

Google Scholar

[13] A. Khalid, I. Khan and S. Shafie, Unsteady MHD free convection flow of Casson fluid past over an oscillating vertical plate embedded in a porous medium, Engineering Science and Technology, an International Journal 18 (2015) 309 - 317.

DOI: 10.1016/j.jestch.2014.12.006

Google Scholar

[14] A. Khan, I. Khan and A.K.S. Shafie, Heat transfer analysis in MHD flow of Casson fluid over a vertical plate embedded in a porous medium with arbitrary wall shear stress, J. Porous Media 21(8) (2018) 739 - 748.

DOI: 10.1615/jpormedia.2018018872

Google Scholar

[15] S. Mukhopadhyay, P.R. De, K. Bhattacharyya and G.C. Layek. Casson fluid flow over an unsteady stretching surface, Ain Shams Eng J 4 (2013) 933 - 938.

DOI: 10.1016/j.asej.2013.04.004

Google Scholar

[16] I. Ullah, S. Shafie and I. Khan, Effects of slip condition and Newtonian heating on MHD flow of Casson fluid over a nonlinearly stretching sheet saturated in a porous medium, Journal of King Saudi University – Science 29 (2017) 250 - 259.

DOI: 10.1016/j.jksus.2016.05.003

Google Scholar

[17] P. Bala Anki Reddy, Magnetohydrodynamic flow of a Casson fluid over an exponentially inclined permeable stretching surface with thermal radiation and chemical reaction, Ain Shams Eng J 7 (2016) 593 - 602.

DOI: 10.1016/j.asej.2015.12.010

Google Scholar

[18] M.A. Hashim, S. Mukhopadhyay, J.N. Sahu and B. Sengupta, Remediation Technologies for Heavy Metal Contaminated Groundwater, J. Env. Man 92 (2011) 2355-2388.

DOI: 10.1016/j.jenvman.2011.06.009

Google Scholar

[19] O.D. Makinde, L. Rundora, Unsteady mixed convection flow of a reactive Casson Fluid in a permeable wall channel filled with a porous medium, Defect and Diffusion Forum 377 (2017) 166 - 179.

DOI: 10.4028/www.scientific.net/ddf.377.166

Google Scholar

[20] G.V. Vinogradov, A.Y. Malkin, Rheology of polymers, Mir Publisher, Moscow, (1979).

Google Scholar

[21] J.F. Steffe, Rheological methods in Food Process Engineering, 2nd ed., Freeman Press, Michigan, (2001).

Google Scholar

[22] D.D. Joye, Shear rate and viscosity corrections for a Casson fluid in cylindrical (Couette) geometries, J. Colloid Interface Sci 267 (2003) 204 - 210.

DOI: 10.1016/j.jcis.2003.07.035

Google Scholar

[23] S. Pramanik, Casson fluid flow and heat transfer past an exponentially porous stretching surface in presence of thermal radiation, Ain Shams Eng J 5 (2014) 205 - 212.

DOI: 10.1016/j.asej.2013.05.003

Google Scholar

[24] T. Chinyoka, O.D. Makinde, Unsteady and porous media flow of reactive non-Newtonian fluids subjected to buoyancy and suction/injection, Int. J. Numer. Method H 25(7) (2015) 1682 - 1704.

DOI: 10.1108/hff-10-2014-0329

Google Scholar

[25] S. Mosayebidorcheh, O.D. Makinde, S.D. Ganji and M. Abedian Chermahini, DTM-FDM hybrid approach to unsteady MHD Couette flow and heat transfer of dusty fluid with variable properties, Thermal Science and Engineering Progress 2 (2017) 57 - 63.

DOI: 10.1016/j.tsep.2017.04.003

Google Scholar

[26] T. Cebeci, P. Bradshaw, Physical and Computational Aspects of Convective Heat Transfer, Springer, New York, (1988).

Google Scholar

[27] T. Chinyoka, Suction-injection control of shear banding in non-isothermal and exothermic channel flow of Johnson-Segalman liquids, Trans. ASME J. Fluids Eng 133(7) (2011) 071205 (12pp.).

DOI: 10.1115/1.4004363

Google Scholar