Effects of Thermal Radiation and Magnetic Field on Unsteady Stretching Permeable Sheet in Presence of Free Stream Velocity
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Effects of Thermal Radiation and Magnetic Field on Unsteady Stretching Permeable Sheet in Presence of Free Stream Velocity

Authors: Phool Singh, Ashok Jangid, N. S. Tomer, Deepa Sinha

Abstract:

The aim of this paper is to investigate twodimensional unsteady flow of a viscous incompressible fluid about stagnation point on permeable stretching sheet in presence of time dependent free stream velocity. Fluid is considered in the influence of transverse magnetic field in the presence of radiation effect. Rosseland approximation is use to model the radiative heat transfer. Using time-dependent stream function, partial differential equations corresponding to the momentum and energy equations are converted into non-linear ordinary differential equations. Numerical solutions of these equations are obtained by using Runge-Kutta Fehlberg method with the help of Newton-Raphson shooting technique. In the present work the effect of unsteadiness parameter, magnetic field parameter, radiation parameter, stretching parameter and the Prandtl number on flow and heat transfer characteristics have been discussed. Skin-friction coefficient and Nusselt number at the sheet are computed and discussed. The results reported in the paper are in good agreement with published work in literature by other researchers.

Keywords: Magneto hydrodynamics, stretching sheet, thermal radiation, unsteady flow.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1081565

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References:


[1] L.J. Crane, "Flow past a stretching plate," The Journal of Applied Mathematics and Physics (ZAMP), vol. 21, pp 645-647, 1970.
[2] T.R. Mahapatra and A.S. Gupta, "Stagnation-point flow towards a stretching surface," The Canadian Journal of Chemical Engineering, vol. 81, pp 258-263, 2003.
[3] P. Singh, N.S. Tomer and D. Sinha, "Numerical study of heat transfer over stretching surface in porous media with transverse magnetic field," Proceeding of International Conference on Challenges and application of Mathematics in Sciences and Technology 2010, ISBN 023- 032-875- X, pp 422-430.
[4] P. Singh, N.S. Tomer, S. Kumar and D. Sinha, "MHD oblique stagnation-point flow towards a stretching sheet with heat transfer," International Journal of Applied Mathematics and Mechanics, vol. 6, no. 13, pp 94-111, 2010.
[5] I. Pop and T. Na, "Unsteady flow past a stretching sheet," Mechanics Research Communications, vol. 23, no. 4, pp 413-422, 1996.
[6] Elbashbeshy EMA, Bazid MAA. Heat transfer over an unsteady stretching surface. Heat and Mass Transfer 2004; 41: 1-4.
[7] A. Ishak, R. Nazar and I. Pop, "Heat transfer over an unsteady stretching permeable surface with prescribed wall temperature," Nonlinear Analysis: Real World Applications, vol. 10, pp 2909-2913, 2009.
[8] H.S. Takhar, A.J. Chamkha and G. Nath, "Unsteady three-dimensional MHD boundary layer due to the impulsive motion of a stretching surface," Acta Mechanica, vol. 146, pp 59-71, 2001.
[9] A. Ishak , "Unsteady MHD flow and heat transfer over a stretching plate," Journal of Applied Sciences, vol. 10, no. 18, pp 2127-2131, 2010.
[10] M.S. Abel, N. Mahesha and J. Tawade, "Heat transfer in a liquid film over an unsteady stretching surface with viscous dissipation in presence of external magnetic field," Applied Mathematical Modelling vol. 33, pp 3430-3441, 2009.
[11] M.A. El-Aziz, "Flow and heat transfer over an unsteady stretching surface with Hall effect," Meccanica, vol. 45, pp 97-109, 2010.
[12] A.Y. Ghaly and E.M.E. Elbarbary, "Radiation effect on MHD free - convection flow of a gas at a stretching surface with a uniform free stream," Journal of Applied Mathematics, vol. 2, no. 2, pp 93-103, 2002.
[13] I. Pop, S.R. Pop and T. Grosan, "Radiation effects on the flow near the stagnation point," Technische Mechanik, vol. 2, no. 25, pp 100-106, 2004.
[14] M.A. El-Aziz, "Radiation effect on the flow and heat transfer over an unsteady stretching sheet," International Communications in Heat and Mass Transfer, vol. 36, pp 521-524, 2009.