Thermal Diffusion Effect on MHD Mixed Convection Unsteady Flow of a Micro Polar Fluid Past a Semi-Infinite Vertical Porous Plate with Radiation and Mass Transfer

Abstract:

The present study investigates the thermal diffusion and radiation effects on magneto hydro dynamic mixed convection flow of a micro polar fluid past an infinite, steadily moving porous plate with variable suction and constant viscosity. The equations of continuity, linear momentum, angular momentum, energy and diffusion, which govern the flow field, are solved by using a regular perturbation method. The behavior of the velocity, micro rotation, temperature, concentration, skin-friction, Nusselt number, and Sherwood number has been discussed for variations in the physical parameters with the help of the graphs.

• Periodical: International Journal of Engineering Research in Africa (Volume 13)
• Pages: 21-37
• DOI: https://doi.org/10.4028/www.scientific.net/JERA.13.21
• Online since: December 2014
• Authors: B. Mamatha*, M.C. Raju, S.V.K. Varma
• Keywords: MHD, Micro Polar Fluid, Mixed Convection, Porous Medium, Radiation, Thermal Diffusion

References

[1] Kim, Y.J., "Unsteady MHD convective heat transfer past a semi-infinite vertical porous moving plate with variable suction", Int. j. Engng. Sci. Vol.38, PP.833-845 (2000).

DOI: 10.1016/s0020-7225(99)00063-4

[2] Soundalgekar, V.M., " Free convection effects on the oscillatory flow past an infinite , vertical, porous plate with constant suction", Proc. Roy. Soc. London A 333 , pp.25-36 (1973).

DOI: 10.1098/rspa.1973.0045

[3] Kim, Y.J., " Unsteady convection flow of micro polar fluids past a vertical porous plate embedded in a porous medium", Acta Mech. Vol.148, pp.105-116 (2001).

DOI: 10.1007/bf01183672

[4] Schlichting , H ., Boundary layer theory, 6th Ed. MC.Graw-Hill, Newyork,(1965).

[5] Chen, T.S . and Yuh, C.F., "Combined heat and transfer in natural convection on inclined surfaces", Num. Heat Transfer, Vol.2, pp.233-250,(1979).

DOI: 10.1080/10407797908547113

[6] Roshenow, W.M., Harnet J.P. and Ganic, E.N., Handbook of heat transfer, Second Ed., MC.Graw-Hill, Newyork,(1985).

[7] Chen, T.S., Tien, M.C. and Armaly, B.F., " Natural convection on horizontal, inclined and vertical plates with variable surface temperature or heat flux" ,Int. J.Heat Mass Trabnsfer, Vol. 29 pp.1465-1478(1986).

DOI: 10.1016/0017-9310(86)90061-x

[8] Umamaheswar.M, Varma S.V.K, Raju M.C, "Combined Radiation and Ohmic Heating Effects on MHD Free Convective Visco-Elastic Fluid Flow Past A Porous Plate With Viscous Dissipation", International Journal of Current Engineering and Technology, Vol.3, no.5, 2013, pp.1636-1640.

DOI: 10.14257/ijast.2013.61.05

[9] Raju M.C, Varma S.V.K., Rao R.R.K, "Unsteady MHD free convection and chemically reactive flow past an infinite vertical porous plate", i-manager Journal of Future Engineering and Technology, Vol.8 (3), 2013, 35-40.

DOI: 10.26634/jfet.8.3.2220

[10] Reddy T.S., Raju M.C. & Varma S.V.K., Unsteady MHD radiative and chemically reactive free convection flow near a moving vertical plate in porous medium, JAFM, Vol.6, no.3, pp.443-451, 2013.

DOI: 10.36884/jafm.6.03.21306

[11] Reddy T.S, Raju M.C. & Varma S.V.K., Chemical reaction and radiation effects on MHD free convection flow through a porous medium bounded by a vertical surface with constant heat and mass flux, Journal of computational and Applied research in Mechanical Engineering, Vol. 3 (1), 53-62, 2013.

DOI: 10.5958/2320-3226.2017.00017.0

[12] Raju M.C. & Varma S.V.K.,, Ananda Reddy.N, "Radiation and mass transfer effects on a free convection flow through a porous medium bounded by a vertical surface", Journal of Future Engineering and Technology, Vol. 7, No: 2, pp.7-2012.

[13] Raju M.C. & Varma S.V.K.,, unsteady MHD free convection oscillatory couette flow through a porous medium with periodic wall temperature, Journal on Future Engineering and Technology, July2011, Vol.6, No.4. Pp.7-12.

DOI: 10.26634/jfet.6.4.1480

[14] Ananda Reddy.N, Raju M.C. & Varma S.V.K.,, "Thermo diffusion and chemical effects with simultaneous thermal and mass diffusion in mhd mixed convection flow with ohmic heating",Journal of Naval Architecture and Marine Engineering 6(2009) 84-93.

DOI: 10.3329/jname.v6i2.3761

[15] Ravikumar V, Raju M.C, Raju &G.S.S., Heat and Mass Transfer Effects on MHD Flow of Viscous Fluid through Non-Homogeneous Porous Medium in Presence of Temperature Dependent Heat Source, International Journal of Contemporary Mathematical sciences, Vol.7, No.32 , 2012, pp.1597-1604.

[16] Raju M.C. & Varma S.V.K., AnandaReddy N, "Hall-current effects on unsteady MHD flow between stretching sheet and an oscillating porous upper parallel plate with constant suction", Thermal science, Vol. 15, No.2, pp.45-48, 2011.

DOI: 10.2298/tsci091120050c

[17] Raju KVS, Raju M.C, Ramana S.V, Raju G.S.S, Unsteady MHD thermal diffusive, radiative and free convective flow past a vertical porous plate through non-homogeneous porous medium, International Journal of Advancements in Research & Technology, Vol. 2(7), 170-181, 2013.

DOI: 10.22214/ijraset.2018.1269

[18] Seshaiah B, Raju M.C. & Varma S.V.K.,, Induced magnetic field effects on free convective flow of radiative, dissipative fluid past a porous plate with temperature gradient heat source, International Journal of Engineering science and Technology, Vol.5, No.7, 1397- 1412, 2013.

DOI: 10.1016/j.asej.2014.07.009

[19] Gebhart .B and Pera L., "The nature of vertical natural convection flows resulting from the mixed buoyancy effects of thermal and mass diffusion", Int.J. Heat Mass Transfer, Vol.14, pp.2025-2050(1971).

DOI: 10.1016/0017-9310(71)90026-3

[20] Soundalgekar, V.M . and Ganesan . P., "Finite-Difference analysis of transient free convection with mass transfer on an isothermal vertical flat plate", Int,J.Engg.Sci, Vol.19, pp.757-770,(1981).

DOI: 10.1016/0020-7225(81)90109-9

[21] Huges, W.F. and Young F.J., The Electro-Magneto Dynamics of fluids, John wiley and sons, NewYork,(1966).

[22] Raptis A, "Flow through a porous medium in the presence of Magnetic field", Int. J. Energy.Res. Vol. 10, pp.97-101 (1986)

[23] Helmy.K.A, "MHD unsteady free convection flow past a vertical porous plate", ZAMM Vol.78,pp.255-270 .(1998).

DOI: 10.1002/(sici)1521-4001(199804)78:4<255::aid-zamm255>3.0.co;2-v

[24] Elabashbeshy, E.M.A. "Heat and Mass transfer along a vertical plate with variable surface temperature and concentration in the presence of the Magnetic field", Int. J. Eng.Sci. Vol. 34, pp.515-522 (1997).

DOI: 10.1016/s0020-7225(96)00089-4

[25] Kim, Y.J. "Unsteady MHD convective heat transfer past a semi-infinite vertical porous moving plate with variable suction", Int. j. Heat and Mass transfer, Vol.56, pp.17-37 (2004).

DOI: 10.1016/s0020-7225(99)00063-4

[26] El-Hakiem, M.A. (1998), Appl. Mech. Eng., Vol. 3, p.287.

[27] El-Hakiem M.A. "Joule heating effects on MHD free convection flow of a micro polar fluid", Int. j.Commun. Heat and Mass transfer, Vol. 26 (2), pp.219-227 (1999).

DOI: 10.1016/s0735-1933(99)00008-1

[28] Raptis A, "Flow of a micro polar fluid past a continuously moving plate by the presence of radiation", Int. J. Heat Mass Transfer, Vol. 41, pp.2865-2866 (1998).

DOI: 10.1016/s0017-9310(98)00006-4

[29] Raptis A., "Radiation and free convection flow through a porous medium", Int. Commun. Heat and Mass Transfer, Vol. 25(b), pp.289-295 (1998).

DOI: 10.1016/s0735-1933(98)00016-5

[30] Abdus Sattar, M.D. and Hamid Kalim, M.D. , "Unsteady free-convection interaction with thermal radiation in a boundary layer flow past a vertical porous plate", J. Math. Phys. Sci., Vol. 30(1), pp.25-37(1996).

[31] Kim, Y.J. and Fedorov, A.G., "Transient mixed radiative convection flow of a micro polar fluid past a moving, semi-infinite vertical porous plate". Int. J. Heat and Mass Transfer,Vol.46,pp.1751-1758 (2003).

DOI: 10.1016/s0017-9310(02)00481-7

[32] Gorla, R.S.R. and.Tornabene, R., "Free convection from a vertical plate with nonuniform surface heat flux and embedded in a porous medium", Transp.Porousmedia, Vol.395-106 (1998).

DOI: 10.1007/bf00222688

[33] Jha, B.K. and Singh, A.K., "Soret effect on free convection and mass transfer flow in the stokes problem for an infinite vertical plate", Astro Phys Sci., vol. 173, pp.251-255(1990).

DOI: 10.1007/bf00643934

[34] Kafoussias N.G., Nasoousis N.D. and Geogranatopolous G.A., "Free convection effects on the stokes problem for an infinite vertical limiting surface with constant suction", Astro Phys .Space Sci., vol.64 pp.391-399(1979).

DOI: 10.1007/bf00639516

[35] Kafoussias N.G., "MHD thermal-diffusion effects on free- convective and mass transfer flow over an infinite vertical moving plate", Astro Phys .Space Sci., vol.192 pp.11-19 (1992).

DOI: 10.1007/bf00653255

[36] Kafoussias N.G., and Williams E.M. " Thermal-diffusion and diffusion thermo effects on mixed free convective and mass transfer boundary layer flow with temperature dependent viscosity", Int.J.Engng.Sci., Vol.33, pp.1369-1384 (1995).

DOI: 10.1016/0020-7225(94)00132-4

[37] E.LAero, A.N. Bulygin, E.V. Kuvshinskii, "Asymmetric hydromechanics", J.Appl.Math.Mech.29 (2) ,pp.333-346 (1965).

[38] A.C. Eringeen, "Theory of thermo micro fluids", J. Math. Anal. Appl.,Vol.38, pp.480-496 (1972).

[39] Sharma R.C. and Gupta,G., "Thermal convection in micro polar fluids in porous medium",Int.J.Eng.Sci.,Vol.33, pp,1887-1892 (1995).