Geodesic
Effects of heat and mass transfer on MHD free convection flow near a~moving vertical plate of a~radiating and chemically reacting fluid
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 1, pp. 18-31.

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The problem of unsteady MHD free convection flow and mass transfer of a viscous, electrically conducting and chemically reacting incompressible fluid in presence of thermal radiation and under the influence of uniform magnetic field applied normal to an infinite vertical plate, which moves with time dependent velocity is studied. The primary purpose of this study was to characterize the effects of thermal radiative heat transfer, magnetic field parameter, chemical reaction rate constant etc on the flow properties. The fluid is also assumed to be gray; emitting absorbing but non scattering medium and the optically thick radiation limit is considered. The solutions of the present problem are obtained in closed form by Laplace transform technique and the expressions for velocity, temperature, concentration, skin friction,rate of heat and mass transfer has been obtained. Some important applications of physical interest for different type motion of the plate are discussed. The results obtained have also been presented numerically through graphs to observe the effects of various parameters and the physical aspects of the problem.
Keywords: free convection, mass transfer, thermal radiation, chemically reacting fluid, MHD flow, Laplace transforms. 
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Kalidas Das. Effects of heat and mass transfer on MHD free convection flow near a~moving vertical plate of a~radiating and chemically reacting fluid. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 1, pp. 18-31. http://geodesic.mathdoc.fr/item/JSFU_2011_4_1_a2/

[1] K. Das, D. C. Sanyal, “Hydromagnetic unsteady free convection flow past a hot vertical plate”, The Math. Ed., 30:4 (1966), 227–236

[2] V. M. Soundalgekar, U. N. Das, R. K. Deka, “Free convection effects on MHD flow past an infinite vertical oscillating plate with constant heat flux”, Indian Jour. of Maths., 39:3 (1997), 195–202 | Zbl

[3] P. K. Sahoo, N. Dutta, S. Biswal, “Magnetohydrodynamic unsteady free convection flow past an infinite vertical plate with constant suction and heat sink”, Indian J. Pure and Appl. Maths., 34:1 (2003), 145–155 | MR | Zbl

[4] K. Das, “Hydromagnetic unsteady free convection flow past an impulsively started vertical plate”, J. of Mech. Con. and Math. Sci., 1:1 (2006), 27–31

[5] R. Greif, I. S. Habib, J. C. Lin, “Laminar convection of a radiating gas in a vertical channel”, Journal of Fluid Dynamics, 46 (1971), 513–520

[6] R. Viskanta, “Effects of transverse magnetic field on heat transfer to an electrically conducting and thermal radiating fluid flowing a parallel channel”, ZAMP, 14 (1963), 353–361 | DOI | MR

[7] P. S. Gupta, A. S. Gupta, “Radiation effect on hydrodynamic convection in a vertical channel”, Int. J. Heat Mass Transfer, 17 (1974), 1437–1442 | DOI | Zbl

[8] V. M. Soundalgekar, H. S. Takhar, “Radiative convective flow past a semi infinite vertical plate”, Modeling Measure and Cont., 51 (1992), 31–40

[9] A. C. Cogly, W. C. Vincentine, S. E. Gilles, “Differential approximation for radiative transfer in an non-grey gas near equilibrium”, AIAA Journal, 6 (1968), 551–555 | DOI

[10] H. S. Takhar, R. S. R. Gorla, V. M. Soundalgekar, “Radiation effects on MHD free convection flow of a radiating gas past a semi infinite vertical plate”, Int. J. Numerical Methods Heat Fluid Flow, 6 (1996), 77–88 | DOI

[11] M. A. Hossain, H. S. Takhar, “Radiative effect on mixed convection along a vertical plate with uniform surface temperature”, Int. J. Heat Mass Transfer, 31 (1996), 243–248 | DOI

[12] M. A. Hossain, M. A. Alim, D. A. S. Rees, “Effects of radiation on free convection from a porous vertical plate”, Int. J. Heat Mass Transfer, 42 (1999), 181–191 | DOI | Zbl

[13] A. Y. Ghaly, E. M. E. Elbarbary, “Radiation effect of MHD free convection flow of a gas at a stretching surface with a uniform free stream”, Jour. of Appl. Math., 2:2 (2002), 93–103 | DOI | MR | Zbl

[14] R. Muthcuumaraswamy, G. Senthil Kumar, “Heat and mass transfer effects on moving vertical plate in the presence of thermal radiation”, Theoret. Appl. Mach., 31:1 (2004), 35–46 | DOI

[15] M. K. Majumder, R. K. Deka, “MHD flow past an impulsively started infinite vertical plate in presence of thermal radiation”, Rom. Jurn. Phys., 52:5–7 (2007), 565–573

[16] S. Shateyi, P. Sibanda, S. S. Motsa, “Magnetohydrodyanamic flow past a vertical plate with radiative heat transfer”, Jour. Heat Transfer ASME, 129 (2007), 1708–1713 | DOI

[17] K. Das, R. Das, “MHD free convection flow near a moving vertical plate in presence of thermal radiation: An analytical soluton”, Moldavian J. of Phy. Sci., 8:3–4 (2009), 358–365

[18] K. Das, S. Jana, “MHD free convection flow of a radiating and chemically reacting fluid”, Int. J. Engg. and Inter. Disci. Maths., 1:1 (2009), 23–33

[19] K. Das, R. Das, “Effects of radiation and transpiration on MHD free convection and mass transfer flow through a porous medium of a chemically reacting fluid”, Jour. of Ind. Acad. Math., Accepted

[20] C. J. Toki, “Free convection and mass transfer flow near a moving vertical porous plate: An analytical soluton”, Jour. Appl. Mach. ASME, 75 (2008), 0110141–0110148

[21] K. Das, S. Jana, “Heat and mass transfer effects on the unsteady MHD free convection flow near a moving vertical plate in porous medium”, Bull. Soc. Math. Banja. Luka., 17:1 (2010), 15–32

[22] K. Das, “Exect solution of MHD free convection flow and mass transfer near a moving vertical plate in presence of thermal radiation”, African J. Math. Phys., 8:1 (2010), 29–41 | Zbl