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The effects of thermal radiation and mass transfer on an unsteady hydromagnetic boundary layer mixed convection flow along a vertical porous stretching surface with heat generation are studied. The fluid is assumed to be viscous and incompressible. The governing partial differential equations are transformed into a system of ordinary differential equations using similarity variables. Numerical solutions of these equations are obtained by using the Runge-Kutta fourth order method along with the shooting technique. Velocity, temperature, concentration, the skin-friction coefficient, Nusselt number and Sherwood number for variations in the governing thermo physical parameters are computed, analyzed and discussed.
Rocznik
Tom
Strony
1151--1164
Opis fizyczny
Bibliogr. 19 poz., wykr.
Twórcy
autor
- Department of Mathematics, KL University Guntur, INDIA-522502
autor
- Department of Mathematics, Fluid Dynamic Division V.I.T, Vellore, (T.N), INDIA
autor
- S.V. University Tirupati, 517502. (A.P), INDIA
Bibliografia
- Abramowitz M. and Stegun I.A. (1965): Handbook of Mathematical Functions. - New York: Dover.
- Andersson H.I., Aarseth J.B. and Dandapat B.S. (2000): Heat transfer in a liquid film on an unsteady stretching surface - Int. J. Heat Mass Transfer, vol.43, pp.69-74.
- Andersson H.I., Aarseth J.B., Braud N. and Dandapat B.S. (1996): Flow of a power law fluid film on an unsteady stretching surface - J. Non-Newtonian Fluid Mech., vol.62, pp.1-8.
- Crane L.J. (1970): Flow past a stretching plate. - Journal of Applied Mathematics and Physics (ZAMP), vol.21, pp.590-595.
- Dulal P. (2011): Combined effects of non-uniform heat source/sink and thermal radiation on heat transfer over an unsteady stretching permeable surface. - Commun. Nonlinear Sci. Numer Simulat, vol.16, pp.1890-1904.
- Grubka L.J. and Bobba K.M. (1985): Heat transfer characteristics of a continuous stretching surface with variable temperature. - ASME J. Heat Transfer, vol.107, pp.248-250.
- Hossain M.A. and Takhar H.S. (1996): Radiation effect on mixed convection along a vertical plate with uniform surface temperature. - Int. J. Heat Mass Transfer, vol.31, pp.243-248.
- Ishak A., Nazar R. and Pop I. (2009): Heat transfer over an unsteady stretching permeable surface with prescribed wall temperature. - Nonlinear Anal. Real World Appl, vol.10, pp.2909-2913.
- Kandasamy R., Wahid A.B., Raj M. and Khamis A.B. (2006): Effects of chemical reaction, heat and mass transfer on boundary layer flow over a porous wedge with heat radiation in the presence of suction or injection. - Theoret.Appl. Mech., vol.33, No.2, pp.123.
- Muhaimin R.K., Hashim I. and Khamis A.B. (2009): On the effect of chemical reaction, heat and mass transfer on nonlinear MHD boundary layer past a porous shrinking sheet with suction. - Theoret. Appl. Mech., vol.36, No.2, pp.101-117.
- Nachtsheim P.R. and Swigert P. (1965): Satisfaction of the asymptotic boundary conditions in numerical solution of the system of non-linear equations of boundary layer type. - NASA, TND-3004.
- Rajesh V. (2011): Chemical reaction and radiation effects on the transient MHD free convection flow of dissipative fluid past an infinite vertical porous plate with ramped wall temperature. - Chemical Industry and Chemical Engineering Quarterly, vol.17, No.2, pp.189-198.
- Rohsenow W.M., Harnett J.P. and Cho Y. I. (1998): Handbook of heat transfer, 3rd edition, New York: McGraw-Hill.
- Sakidis B.C. (1961): Boundary-layer behavior on a continuous solid surface: II- The boundary layer on a continuous flat surface. - AIChE Journal, vol.7, pp.221-225.
- Seddeek M.A. (2002): Effects of radiation and variable viscosity on a MHD free convection flow past a semi-infinite flat plate with an aligned magnetic field in the case of unsteady flow. - Int. J. Heat Mass Transfer, vol.45, pp.931-935.
- Sharidan S., Mahmood T. and Pop I. (2006): Similarity solutions for the unsteady boundary layer flow and heat transfer due to a stretching sheet. - Int. J Appl. Mech. Eng., vol.11, pp.647-654.
- Takhar H.S., Gorla R.S.R. and Soundalgekar V.M. (1996): Radiation effects on MHD free convection flow of a gas past a semi-infinite vertical plate. - Int. J. N. Meth. Heat Fluid Flow, vol.6, pp.77-83.
- Wang C.Y. (1990): Liquid film on an unsteady stretching surface. - Q. Appl. Math., vol.48, pp.601-10.
- Wang C.Y. (2009): Analysis of viscous flow due to stretching sheet with surface slip and suction. - Nonlinear Anal.Real World Appl., vol.10, pp.375-380.
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Bibliografia
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