Study of MHD Oblique Stagnation Point Assisting Flow on Vertical Plate with Uniform Surface Heat Flux

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

Abstract:

The aim of this paper is to study the oblique stagnation point flow on vertical plate with uniform surface heat flux in presence of magnetic field. Using 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 using Runge-Kutta Fehlberg method with the help of shooting technique. In the present work the effects of striking angle, magnetic field parameter, Grashoff number, the Prandtl number on velocity and heat transfer characteristics have been discussed. Effect of above mentioned parameter on the position of stagnation point are also studied.

Keywords: Heat flux, Oblique stagnation point, Mixedconvection, Magneto hydrodynamics

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1329535

References:

[1] Chamkha A.J., "Hydromagnetic mixed convection stagnation flow with suction and blowing," International Communications in Heat and Mass Transfer, vol. 25, pp 417-426, 1998.
[2] Chamkha A.J. and C. Issa, "Mixed convection effects on unsteady flow and heat transfer over a stretched surface," International Communications in Heat and Mass Transfer, vol. 26, pp 717-727, 1999.
[3] Kumari M., "Variable viscosity effects on free and Mixed convection boundary-layer flow from a horizontal surface in a saturated porous medium-variable heat flux," Mechanics Research Communications, vol. 28, pp 339-348, 2001.
[4] Aydin O. and A. Kaya, "Mixed convection of a viscous dissipating fluid about a vertical flat plate," Applied Mathematical Modelling, vol. 31, pp 843-853, 2007.
[5] Prasad K.V., K. Vajravelu and P.S. Datti, "Mixed convection heat transfer over a non-linear stretching surface with variable fluid properties," International Journal of non-linear Mechanics, vol. 45, pp 320-330, 2010.
[6] Attia H. A., "Hydromagnetic stagnation point flow with heat transfer over a permeable surface," The Arabian Journal for Science and Engineering, vol. 28, 107-112, 2003.
[7] Kumari M. and G. Nath, "Unsteady MHD mixed convection flow over an impulsively stretched permeable vertical surface in a quiescent fluid." International Journal of non-linear Mechanic, vol. 45, pp 310-319, 2010
[8] Kumari M. and G. Nath, "Steady mixed convection stagnation-point flow of upper convected Maxwell fluids with magnetic field," International Journal of non-linear Mechanic, vol. 44, pp 1048-1055, 2009.
[9] Singh P., 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, ISBN 023- 032-875-X, 2010, 422-430.
[10] Singh P., A. Jangid, N.S. Tomer and D. Sinha, "Effects of Thermal Radiation and Magnetic Field on Unsteady Stretching Permeable Sheet in Presence of Free Stream Velocity ," International Journal of Engineering and Mathematical Sciences, vol. 6, no.3, pp 163-169, 2010
[11] Ziya U., M. Kumar and V. Bisht, "Radiation heat transfer effect on a moving semi-infinite tilted porous heated plate with uniform suction in the presence of transverse magnetic field," Ganita, vol. 60, no. 1, pp 69- 79, 2009.
[12] Ziya U. and M. Kumar, "Transient MHD free convection flow of an incompressible viscous dissipative fluid through inclined porous plate." International J Essential Sciences, vol. 2, no. 2, 18-27, 2008.
[13] Grosan T., I. Pop, C. Revnic, and D.B. Ingham, "Magnetohydrodynamic oblique stagnation-point flow," Meccanica, vol. 44, pp 565-572, 2009.
[14] Singh P., 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.
[15] Lok Y.Y., N. Amin, and I. Pop, "Mixed convection near a nonorthogonal stagnation point flow on a vertical plate with uniform surface heat flux," Acta Mechanica, vol. 186, pp 99-112, 2006.
[16] Lok Y.Y., N. Amin, and I. Pop, "Mixed convection flow near a nonorthogonal stagnation point towards a stretching vertical plate," International Journal of Heat and Mass Transfer, vol. 50, pp 4855-4863, 2007.
[17] Mahapatra T.R., S.K. Nandy, and A.S. Gupta, "Magnetohydrodynamic stagnation-point flow of a power-law fluid towards a stretching surface," International Journal of Non-Linear Mechanics, vol. 44, pp 124-129, 2009.
[18] Labropulu F., D. Li, and I. Pop, "Non-orthogonal stagnation-point flow towards a stretching surface in a non-Newtonian fluid with heat transfer," International Journal Thermal Sciences, vol. 49, pp 1042- 1050, 2010.
[19] Li D., F. Labropulu, and I. Pop, "Oblique stagnation-point flow of a viscoelastic fluid with heat transfer," International Journal of Non- Linear Mechanics, vol. 44, pp 1024 - 1030, 2009.
[20] Tilley B.S. and P.D. Weidman, "Oblique two-fluid stagnation-point flow," European Journal of Mechanics, vol. 17, pp 205-217, 1998.
[21] Amaouche M. and D. Boukari, "Influence of thermal convection on non-orthogonal stagnation point flow." International Journal of Thermal Sciences, vol. 42, pp.303-310, 2003.