MHD Unsteady Free Convection of Heat and Mass Transfer Flow through Porous Medium with Time Dependent Suction and Constant Heat Source/Sink

Authors: Praveen Saraswat, Rudraman Singh

Abstract:

In this paper, we have investigated the free convection MHD flow due to heat and mass transfer through porous medium bounded by an infinite vertical non-conducting porous plate with time dependent suction under the influence of uniform transverse magnetic field of strength H₀. When Temperature (T) and Concentration (C) at the plate is oscillatory with time about a constant non-zero mean. The velocity distribution, the temperature distribution, co-efficient of skin friction and role of heat transfer is investigated. Here the partial differential equations are involved. Exact solution is not possible so approximate solution is obtained and various graphs are plotted.

Keywords: Time Dependent Suction, Convection, MHD, Porous.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1337283

References:

[1] Babu, C. and D.R.V. Prashada Rao (2006): "Free convection flow of heat and mass transfer past a vertical porous plate", Acta Ciencia Indica, 32, 673–684.
[2] Gupta, M., R. K. Agrawal, Mrs. Praveen (2005): "MHD unsteady free convection with combined heat and mass transfer buoyancy effect through porous medium with heat source/sink", Acta Ciencia Indica, 31(1) 219–224.
[3] Lin, H.T. and C.M. Wu (1995): "Confined heat and mass transfer in MHD free convection from a vertical plate", Heat and Mass Transfer, 30, 369–376.
[4] Rao, P.V. Prasoda, S. Sreekant, S. Rama Krishna, S. Venktaramana (1996): "Unsteady Hydro magnetic free convective flow of visco-elastic fluid between two infinite vertical moving an oscillating porous plates", Proc. Math, Soc. B.H.U., 12.
[5] Sharma, A. and M.K. Sharma (2003): "Unsteady How and heat transfer along an infinite hot vertical surface bounded by porous medium". Acta Ciencia Indica, 29, 763–770.
[6] Stuart, J.T. (1995): "A solution of the Navier–stokes and energy equations illustrating the response of skin friction and temperature of an infinite plate thermometer to fluctuations in the steam velocity", Proc. of the Royal Soc. London, 231, 116-130.
[7] Yan, W.N. and Lin T.I. (1989): "Effect of welted wall on laminar mixed convection heat transfer in a vertical channel", J. Thermo Physics and Heat Transfer, 94–96.