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

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.

Authors:

• Phool Singh
• Ashok Jangid
• N.S. Tomer
• Deepa Sinha

Keywords:

• Heat flux
• Oblique stagnation point
• Mixedconvection
• Magneto hydrodynamics

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.