UNSTEADY MHD HEAT AND MASS TRANSFER FLOW OF A RADIATING FLUID PAST AN ACCELERATED INCLINED POROUS PLATE WITH HALL CURRENT

G. Sivaiah; K. Jayarami Reddy

doi:10.29121/granthaalayah.v5.i7.2017.2107

Authors

G. Sivaiah Research Scholar, Department of Mathematics, Rayalaseema Univesity, Kurnool-518002, A.P., India
K. Jayarami Reddy Department of Mathematics, K. L. University, Vaddeswaram, Guntur-522502, A.P. India

DOI:

https://doi.org/10.29121/granthaalayah.v5.i7.2017.2107

Keywords:

Hall Current, Thermal Radiation, Heat and Mass Transfer, Thermal Diffusion, Accelerated Inclined Porous Plate

Abstract [English]

In this paper an analysis has been performed to study the effects of Hall current and radiation of MHD free convective heat and mass transfer flow of a radiating fluid past an accelerated inclined porous plate with hall current in presence of thermal diffusion and heat source. The solutions for velocity, temperature and concentration distributions are obtained by using Laplace transform technique. The expressions for skin friction, Nusselt number and Sherwood number are also derived. The variations in fluid velocity, temperature and species concentration are shown graphically, whereas numerical values of skin friction, Nusselt number and Sherwood number are presented in tabular form for various values of physical parameters.

Downloads

Download data is not yet available.

References

Raptis, A., Singh, A.K., “MHD free convection flow past an accelerated vertical plate”. International Communications in Heat and Mass Transfer, Vol.10(4), p313-321, 1983. DOI: https://doi.org/10.1016/0735-1933(83)90016-7

Duwairi, H. M., Al-Kahlawi, Y., “MHD cojugate mixed convection heat transfer over a vertical hollow cylinder embedded in a porous medium”. International Journal of Heat and Technology, Vol. 24(1), p123-128, 2006.

Seddeek, M.A., “The effect of variable voscosity on hydromagnetic flow and heat transfer past a contnuously moving porous boundary with radiation” Int. Commun Heat Mass, Vol. 27(7), p1037-1046, 2000. DOI: https://doi.org/10.1016/S0735-1933(00)00183-4

Abdelkhalek, M.M., “The skin friction in the MHD mixed convection stagnation point with mass transfer”, Int. commun Heat Mass, Vol.33, 249-258, 2006. DOI: https://doi.org/10.1016/j.icheatmasstransfer.2005.09.008

Chowdhury, M. K., Islam, M.N., MHD free convection flow of visco-elastic fluid past an infinite vertical porous plate. Heat Mass transfer 36, 439-447, 2000. DOI: https://doi.org/10.1007/s002310000103

Singh, P.K., Heat and Mass Transfer in MHD Boundary Layer Flow past an Inclined Plate with Viscous Dissipation in Porous Medium, International Journal of Scientific & Engineering Research, Volume 3 (6), June-2012.

Rajesh, V. and Varma, S.V.K, Radiation and mall transfer effects on MHD free convection flow past an exponentially accelerated vertical plate with variable temperature, ARPN J. of Engg., and App. Sci., 4(6), 2009, 20-26.

Takhar, H. S. and Ram, P. C., Magnetohydrodynamics free convection flow of water at 4°C through a porous medium, Int. Commun. Heat Mass Transfer, vol. 21, 1994, 371. DOI: https://doi.org/10.1016/0735-1933(94)90005-1

Das and Das, “MHD free convection near a moving vertical plate in the presence of thermal radiation. Moldavian Journal of the Physical sciences, vol. 8 no. 3-4, 2009.

Sharma P. R. and Singh G, “effects of variable thermal conductivity and heat source/sink on MHD flow near a stagnation point on a linearly stretching sheet”, Journal of Applied Fluid Mechanics, vol. 2, no. 1, 2009, pp. 13-21. DOI: https://doi.org/10.36884/jafm.2.01.11851

Chen, “Heat and mass transfer effects with variable wall temperature and concentration”, Acta Mathematica, vol. 172, (2004). DOI: https://doi.org/10.1007/s00707-004-0155-5

Pavlov K.B., Magnetohydrodynamic flow of an incompressible viscous fluid caused by the deformation of a plane surface, Magn. Gidrondin, vol.4, pp.146-152.

Chakrabarti, A and Gupta AS (1979) Hydromagnetic flow of heat and mass transfer over a stretching sheet, Quart. Appl. Math 33:1979, 73-78.

Andersson, H. I., MHD flow of a visco-elastic fluid past a stretching surface, Acta Mech.95: 1992, 227-230. DOI: https://doi.org/10.1007/BF01170814

Andersson, H.I., Bech, K.H., and Dandapat, B.S., Magnetohydrodynamic flow of a Power- law fluid over a stretching surface, Int. J. Non-Linear Mech. 27: 1992, 929-936. DOI: https://doi.org/10.1016/0020-7462(92)90045-9

Alam, M.S., Rahman, M.M., Sattar, M.A. (2009), “On the effectiveness of viscous dissipation and Joule heating on steady magneto hydrodynamic heat and mass transfer flow over an inclined radiate isothermal permable surface in the presence of thermophoresis”, Commun Nonlinear Sci. Numer Simul, Vol. 14, p2132-2143. DOI: https://doi.org/10.1016/j.cnsns.2008.06.008

G.W. Sutton, A. Sherman, Engineering Magnetohydrodynamics, McGraw-Hill, New York, 1965.

H.A. Attia, Hall current effects on the velocity and temperature fields of an unsteady Hartmann flow, Can. J. Phys. 76 (9) (1998) 739. DOI: https://doi.org/10.1139/cjp-76-9-739

Raju, M. C., Reddy, N. A., Varma, S. V. K. , 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: https://doi.org/10.2298/TSCI1102527C

Ravikumar, V., Raju, M. C., Raju, G. S. S., MHD three dimensional Couette flow past a porous plate with heat transfer, IOSR Jour. Maths., Vol. 1, no.3, pp. 3-9, 2012. DOI: https://doi.org/10.9790/5728-0130309

Raju, M. C., Varma, S.V.K ., Reddy, N. A., 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. 7-12 2012. DOI: https://doi.org/10.26634/jfet.7.2.1757

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: https://doi.org/10.36884/jafm.6.03.21306

Raju, M.C., Reddy, N.A., Varma, S. V. K., Analytical study of MHD free convictive, dissipative boundary layer flow past a porous vertical surface in the presence of thermal radiation, chemical reaction and constant suction, Ain Shams Engineering Journal, Vol. 5 (4), 2014, 1361-1369. DOI: 10.1016/j.asej.2014.07.005 DOI: https://doi.org/10.1016/j.asej.2014.07.005

RaJu, M.C., Varma, S.V.K., Seshaiah, B., Heat transfer effects on a viscous dissipative fluid flow past a vertical plate in the presence of induced magnetic field, Ain Shams Engineering Journal, Vol.6, No.1, 2015, 333-339. doi:10.1016/j.asej.2014.07.009. DOI: https://doi.org/10.1016/j.asej.2014.07.009

Chandra, R.P, Raju, M.C, Raju, G.S.S., Thermal and solutal buoyancy effect on MHD boundary layer flow of a visco-elastic fluid past a porous plate with varying suction and heat source in the presence of thermal diffusion. J Appl Computat Math 4: 249, 2015. doi:10.4172/2168-9679.1000249. DOI: https://doi.org/10.4172/2168-9679.1000249

Raju M.C, Veeresh C, Varma S.V.K, Rushi Kumar B, Vijaya Kumar A.G., Heat and mass transfer in MHD mixed convection flow on a moving inclined porous plate. J Appl Computat Math 4: 259, 2015. doi:10.4172/2168- 9679.1000259.

Reddy, L.R.M., Raju, M.C., Raju, G.S.S., Convective ramped temperature and concentration boundary layer flow of a chemically reactive heat absorbing and radiating fluid over a vertical plate in conducting field with Hall current., Innov Ener Res., Vol.5(1) (2016), pp.1-20. DOI: http://dx.doi.org/10.4172/ier.1000130.

Chandra P.R., M.C. Raju, G.S.S. Raju, Magnetohydrodynamic convective double diffusive laminar boundary layer flow past an accelerated vertical plate, International Journal of Engineering Research in Africa, Vol. 20 (2016), 80-92, doi:10.4028/www.scientific.net/JERA.20.80. DOI: https://doi.org/10.4028/www.scientific.net/JERA.20.80

Harikrishna, L., Veerakrishna, M., Raju, M.C., Hall current effects on unsteady MHD flow in a rotating parallel plate channel bounded by porous bed on the lower half Darcy lap wood model, Mathematical sciences International research journal, Vol.4 (2015), 29-39.

Reddy, T.S., Raju, M.C., Varma, S.V.K., Hall current effects on MHD free convection flow through a porous medium bounded by a vertical surface, Proceedings of the International Conference on Mathematics in Engineering &Business Management, March 9-10, 188-192, 2012.

Reddy, P.G., Umamaheswar, M., Raju, M. C., Varma, S. V. K., Magneto-convective and radiation absorption fluid flow past an exponentially accelerated vertical porous plate with variable temperature and concentration, International Journal of Mathematics Trends and Technology (IJMTT). V31(1):26-33 March 2016. DOI: https://doi.org/10.14445/22315373/IJMTT-V31P507

Umamaheswar, M., Varma, S. V. K., Raju, M.C., Chamkha, A.J., Unsteady MHD Free Convective Double Diffusive Visco-Elastic Fluid Flow Past an Inclined Permeable Plate in the presence of viscous dissipation and heat absorption, Special topics and Reviews in Porous media: An international Journal., Vol.6 (4). 2016, pp. 333-342. DOI: https://doi.org/10.1615/SpecialTopicsRevPorousMedia.v6.i4.20

Raju, M. C., Chamkha, A. J., Philip, J., Varma, S.V.K., Soret effect due to mixed convection on unsteady magnetohydrodynamic flow past a semi-infinite vertical permeable moving plate in presence of thermal radiation, heat absorption and homogenous chemical reaction, International Journal of Applied and Computational Mathematics. DOI 10.1007/s40819-016-0147-x.

Philip, J., Raju, M. C., Chamkha, A. J. and Varma, S.V. K., “MHD Rotating Heat and Mass Transfer Free Convective Flow Past an Exponentially Accelerated Isothermal Plate with Fluctuating Mass Diffusion.” International Journal of Industrial Mathematics, Vol. 6, No. 4, 2014 Article ID IJIM-00478, 10 pages, 297-306.

Chamkha, A. J., Reddy, T. S., Raju, M. C., and Varma, S.V.K., “Unsteady MHD Free Convection Flow Past an Exponentially Accelerated Vertical Plate with Mass Transfer, Chemical Reaction and Thermal Radiation." International Journal of Microscale and Nanoscale Thermal and Fluid Transport Phenomena, Vol.5, no.1, 2014, pp. 57-75.

Umamaheswar, M., Varma, S. V. K., Raju, M. C., Numerical study of Magneto-Convective and radiation absorption fluid flow past an exponentially accelerated vertical porous plate with variable temperature and concentration in the presence of Soret and Dufour effects, IOSR Journal of Mathematics, Volume 12, Issue 2 Ver. I (Mar. -Apr.2016), PP 109-120. DOI: 10.9790/5728-1221109120.

Rao, B. M., Reddy, G. V., Raju, M. C., Varma, S. V. K., MHD transient free convection and chemically reactive flow past a porous vertical plate with radiation and temperature gradient dependent heat source in slip flow regime, IOSR Journal of Applied Physics, Vol. 3(6), 2013, 22-32. DOI: https://doi.org/10.9790/4961-0362232