Finite Element Numerical Investigation into Unsteady MHD Radiating and Reacting Mixed Convection Past an Impulsively Started Oscillating Plate

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In this article, numerical investigation is carried out for the unsteady MHD mixed convection flow of radiating and chemically reacting fluid past an impulsively started oscillating vertical plate with variable temperature and constant mass diffusion. The transport model employed includes the Hall current. A uniform magnetic field is applied transversely to the direction of the fluid flow. The flow consideration is subject to small magnetic Reynolds number. The Rosseland approximation is used to describe the radiation heat flux in the energy equation. The dimensionless governing system of partial differential equations of the flow has been solved numerically by employing the FEM. The influence of pertinent parameters on primary velocity, secondary velocity, temperature and concentration are presented graphically whereas primary skin friction, secondary skin friction, Nusselt number and Sherwood number are presented in tabular form. The findings of the present study are in good agreement with the earlier reported studies.

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47-62

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May 2020

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© 2020 Trans Tech Publications Ltd. All Rights Reserved

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[1] V. M. Soundalgekhar, H. S. Takhar, Radiation effects on free convection flow past a semi-infinite vertical plate, Modeling Measurement and Control, B (51) (1993) 31 - 40.

Google Scholar

[2] A. Raptis, C. Perdikis, Radiation and free convection flow past a moving plate, Appl. Mech and Eng, 4(4) (1999) 817 - 821.

Google Scholar

[3] R. Muthucumaraswamy, G. S. Kumar, Heat and mass transfer effects on moving vertical plate in the presence of thermal radiation, Theo. Appl. Mech, 31(1) (2004) 35 - 46.

DOI: 10.2298/tam0401035m

Google Scholar

[4] O. D. Makinde, MHD mixed-convection interaction with thermal radiation and nth order chemical reaction past a vertical porous plate embedded in a porous medium, Chemical Engineering Communications, 198 (4) (2011) 590-608.

DOI: 10.1080/00986445.2010.500151

Google Scholar

[5] H. S. Takhar, R. S. Gorla, V. M. Soundalgekhar, Radiation effects on MHD free convection flow of a radiating gas past a semi-infinite vertical plate, Int. J. Num. Heat and Fluid Flow, 6(2) (1996) 77 - 83.

DOI: 10.1108/09615539610113118

Google Scholar

[6] R. Muthucumaraswamy, B. Janakiraman, MHD and radiation effects on moving isothermal vertical plate with variable mass diffusion, Theo. Appl. Mech, 33(1) (2006) 17 - 29.

DOI: 10.2298/tam0601017m

Google Scholar

[7] V. Rajesh, S. V. K. Varma, Radiation effects on MHD flow through a porous medium with variable temperature and mass diffusion, Int. J. Appl. Math and Mech, 6(1) (2010) 39 - 57.

Google Scholar

[8] S. Das, B. Tarafdar, R.N. Jana, O.D. Makinde, Influence of rotational buoyancy on magneto-radiation–convection near a rotating vertical plate, European Journal of Mechanics-B/Fluids 75(2019) 209-218.

DOI: 10.1016/j.euromechflu.2018.09.010

Google Scholar

[9] U. S. Rajput, S. Kumar, Radiation effect on MHD flow through porous media past an impulsively started vertical plate with variable heat and mass transfer, Int. J. Math. Arch, 4(10) (2013) 106 - 114.

DOI: 10.1007/s11242-012-0078-x

Google Scholar

[10] U. S. Rajput, G. Kumar, Radiation effect on MHD flow past an inclined plate with variable temperature and mass diffusion, Int. J. Appl. Sci and Eng, 14(3) (2017) 171 - 183.

Google Scholar

[11] R. Nandkeolyar, G. S. Seth, O. D. Makinde, P. Sibanda, M. S. Ansari, Unsteady hydro-magnetic natural convection flow of a dusty fluid past an impulsively moving vertical plate with ramped temperature in the presence of thermal radiation, ASME, Journal of Appl. Mech, 80, 061003 (2013) (9pages).

DOI: 10.1115/1.4023959

Google Scholar

[12] S. Das, R. N. Jana, O. D. Makinde, Magneto-convective boundary layer slip flow of nanofluid past a convectively heated vertical plate, Journal of Nanofluids, 4(4) (2015) 494 - 504.

DOI: 10.1166/jon.2015.1170

Google Scholar

[13] A. Muhammad, O. D. Makinde, Thermo-dynamic analysis of unsteady MHD mixed convection with slip and thermal radiation over a permeable surface, Defect and Diffusion Forum, 374 (2017) 29 - 46.

DOI: 10.4028/www.scientific.net/ddf.374.29

Google Scholar

[14] P. O. Olanrewaju, O. D. Makinde, Effects of thermal diffusion and diffusion thermo on chemically reacting MHD boundary layer flow of heat and mass transfer past a moving vertical plate with suction /injection, Arabian Journal of Science and Engineering, 36 (2011) 1607-1619.

DOI: 10.1007/s13369-011-0143-8

Google Scholar

[15] O. D. Makinde, P. Sibanda, Effects of chemical reaction on boundary layer flow past a vertical stretching surface in the presence of internal heat generation, International Journal of Numerical Methods for Heat & Fluid Flow, 21(6) (2011) 779-792.

DOI: 10.1108/09615531111148509

Google Scholar

[16] R. Muthucumaraswamy, P. Ganesan, First order chemical reaction on flow past an impulsively started vertical plate with uniform heat and mass flux, Acta Mechanica, 147 (2001) 45 - 57.

DOI: 10.1007/bf01182351

Google Scholar

[17] O. D. Makinde, Chemically reacting hydro-magnetic unsteady flow of radiating fluid past a vertical plate with constant heat flux, Zeitschrift f'ur Naturforschung, 67a (2012) 239 - 247.

DOI: 10.5560/zna.2012-0014

Google Scholar

[18] R. Jayakar, B. Kumar, O. D. Makinde, Thermo-diffusion effects on MHD chemically reacting fluid flow past an inclined porous plate in a slip flow regime, Defect and Diffusion forum, 387 (2018) 587 - 599.

DOI: 10.4028/www.scientific.net/ddf.387.587

Google Scholar

[19] T. C. Cowling, Magnetohydrodynamics, Wiley Inter Science, New York, (1957).

Google Scholar

[20] J. Fife, Hybrid-PIC Modeling and electrostatic probe survey of Hall thrusters-PhD Thesis, Department of Aeronautics and Astronautics, MIT, USA, (1998).

Google Scholar

[21] P. A. Davidson, Magneto-hydrodynamics in material processing – Annual review Fluid Mech, 31 (1999) 273 - 300.

Google Scholar

[22] S. Gandluru, D.R.V. Prasad Rao, O.D. Makinde, Hydromagnetic-oscillatory flow of a nanofluid with Hall effect and thermal radiation past vertical plate in a rotating porous medium, Multidiscipline Modeling in Materials and Structures, 14(2) (2018) 360–386.

DOI: 10.1108/mmms-06-2017-0051

Google Scholar

[23] A. N. Maguna, N. M. Mutua, Hall current effects on free convection flow and mass transfer past a semi infinite vertical flat plate, Int. J. Mathematics and Statistics studies, 1(4) (2013)1-22.

Google Scholar

[24] M. Thamizhsudar, J. Pandurangan, R. Muthucumaraswamy, Hall effects and rotation effects on MHD flow past an exponentially accelerated vertical plate with combined heat and mass transfer effects, Int. J. Appl. Mech and Eng, 20( 3) (2015) 605 - 616.

DOI: 10.1515/ijame-2015-0039

Google Scholar

[25] U. S. Rajput, N. Kanaujia, MHD flow past a vertical plate with variable temperature and mass diffusion in the presence of Hall current, Int. J. Appl. Sci. Eng, 14 (2) (2016) 115 – 123.

DOI: 10.4314/ijest.v8i4.4

Google Scholar

[26] B. Prabhakar Reddy, Hall effect on MHD transient flow past an impulsively started infinite horizontal porous plate in a rotating system, Int. J. Appl. Mech. Eng, 23(2) (2018) 471 – 483.

DOI: 10.2478/ijame-2018-0027

Google Scholar

[27] R.P. Sharma, K. Avinash, N. Sandeep, O.D. Makinde, Thermal radiation effect on non-Newtonian fluid flow over a stretched sheet of non-uniform thickness. Defect and Diffusion Forum, 377 (2017) 242-259.

DOI: 10.4028/www.scientific.net/ddf.377.242

Google Scholar

[28] O.C. Zienkiewiez, The finite element method in engineering sciences - 2nd edition., McGraw-Hill, New York, (1971).

Google Scholar

[29] J. N. Reddy, An introduction to the finite element method, McGraw-Hill, New York, (1985).

Google Scholar

[30] K. J. Bathe, Finite element procedures, Prentice-Hall, New Jersey, (1996).

Google Scholar