Abstract
In this paper, we examine the thermal radiation effect on heat and mass transfer in steady laminar boundary layer flow of an incompressible viscous micropolar fluid over a vertical flat plate, with the presence of a magnetic field. Rosseland approximation is applied to describe the radiative heat flux in the energy equation. The resulting similarity equations are solved numerically. Many results are obtained and representative set is displayed graphically to illustrate the influence of the various parameters on different profiles. The conclusion is drawn that the flow field, temperature, concentration and microrotation as well as the skin friction coefficient and the both local Nusselt and Sherwood numbers are significantly influenced by Magnetic parameter, material parameter and thermal radiation parameter.References
A.C. Eringen, “Theory of micropolar fluids,” Journal of Mathematics and Mechanics. 16, pp.1–16, December 1966.
G. Łukaszewicz, “Asymptotic behavior of micropolar fluid flows,” International Journal of Engineering Science, vol.41, pp. 259–269, July 2002.
Z.Alloui and P.Vasseur , “Double-diffusive and Soret-induced convection in a micropolar fluid Layer ,”Computers & Fluids ,vol.60, pp. 99–107, March 2012.
S.P.Singh, G.C.Chadda, A.K.Sinha, “A model for micropolar fluid film mechanism with reference to Human joints,” Indian J. pure appl. Math. , vol.19, pp.384–394, April 1988.
A.Ishak, R.Nazar and I.Pop, “Dual solutions in Mixed convection boundary layer flow of micropolar fluids,” Commun Nonlinear Sci Numer Simulat , vol. 14, pp. 1324–1333, January 2008.
A.Ishak, R.Nazar, I.Pop, “Stagnation flow of a micropolar fluid towards a vertical permeable surface,”Int. Com. Heat Mass Transfer , vol.35, pp. 276–281, August 2007.
R. S. R.Gorla, S.Nakamura, “Mixed convection of a micropolar fluid from a rotating cone,” Int. J. Heat Fluid Flow, vol. 16, pp. 69 –73, August 1994.
O.Aydın and I.Pop, , “Natural convection in a differentially heated enclosure filled with a micropolar fluid ,”Int. J. Thermal Sciences, vol. 46, pp. 963–969, November 2006.
Y.Y.Lok, N.Amin and I.Pop, “Unsteady mixed convection flow of a micropolar fluid near the stagnation point on a vertical surface,” Int. J. Thermal Sciences, vol.45, pp. 1149–1157, August 2006.
A.Ishak, R.Nazar and I.Pop ,“ Magnetohydrodynamic (MHD) flow of a micropolar fluid towards a stagnation point on a vertical surface ,”Computers and Mathematics with Applications, vol. 56, pp. 3188–3194, September 2008.
K.Das,“ Influence of thermophoresis and chemical reaction on MHD micropolar fluid flow with variable fluid properties ,” Int. J. Heat Mass Transfer , vol. 55, pp. 7166–7174 , August 2012.
K.Bhattacharyya, S.Mukhopadhyay, G.C.Layek and I.Pop ,“ Effects of thermal radiation on micropolar fluid flow and heat transfer over a porous shrinking sheet,” Int. J. of Heat Mass Transfer , vol. 55, pp. 2945–2952 , March 2012.
M. A.A.Mahmoud,“ Thermal radiation effects on MHD flow of a micropolar fluid over a stretching surface with variable thermal conductivity ,” Physica A , vol. 375, pp. 401– 410, October 2007.
M.M.Rahman and T.Sultana,“ Radiative Heat Transfer Flow of Micropolar Fluid with Variable Heat Flux in a Porous Medium ,” Nonlinear Analysis: Modelling and Control , vol. 13, pp. 71–87, March 2008.
D.Pal and S.Chatterjee,“ Mixed convection magnetohydrodynamic heat and mass transfer past a stretching surface in a micropolar fluid-saturated porous medium under the influence of Ohmic heating, Soret and Dufour effects,”Commun Nonlinear Sci Numer Simulat ,vol. 16, pp. 1329–1346 , June 2010.
M.A.Seddeek, S.N.Odda, M.Y.Akl and M.S.Abdelmeguid, “Analytical solution for the effect of radiation on flow of a magneto-micropolar fluid past a continuously moving plate with suction and blowing ,”Computational Materials Science, vol. 45, pp.423–428, December 2008.
A.Ishak, R.Nazar and I.Pop, “MHD boundary-layer Flow of a micropolar fluid past a wedge with Constant wall heat flux,” Communications in Nonlinear Science and Numerical Simulation, vol. 14, pp. 109–118, August 2007.
Kai-Long Hsiao, “Heat and mass transfer for micropolar flow with radiation effect past a Nonlinearly stretching sheet,” Heat Mass Transfer, vol. 46, pp. 413–419, March 2010.
M.A.A.Mahmoud and S. E.Waheed, “ MHD stagnation point flow of a micropolar fluid towards a moving surface with radiation,” Meccanica , vol. 47, pp. 1119–1130, November 2011.
M.Abd-El Aziz, “ Thermal radiation effects on magnetohydrodynamic mixed convection flow of a micropolar fluid past a continuously moving semi-infinite plate for high temperature differences ,” Acta Mechanica, vol. 187, pp.113–127, September 2006.
E. M. E. Elbarbary and N. S.Elgazery, “Flow and heat transfer of a micropolar fluid in an axisymmetric stagnation flow on a cylinder with variable properties and suction (numerical study),” Acta Mechanica, vol. 176, pp. 213–229, January 2005.
A. J.Chamkha, R.A.Mohamed and S. E.Ahmed, “Unsteady MHD natural convection from a heated vertical porous plate in a micropolar fluid with Joule heating, chemical reaction and radiation effects,” Meccanica , vol.46, pp. 399–411 , August 2011.
N. A.Yacob, A.Ishak, “MHD flow of a micropolar fluid towards a vertical permeable plate with prescribed surface heat flux,” Chemical engineering research and design , vol. 89, pp. 2291–2297, March 2011.
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