THERMAL SCIENCE

International Scientific Journal

EFFECT OF RADIATION AND POROSITY PARAMETER ON MAGNETOHYDRODYNAMIC FLOW DUE TO STRETCHING SHEET IN POROUS MEDIA

ABSTRACT
An analysis is made for the steady two-dimensional flow of a viscous incompressible electrically conducting fluid in the vicinity of a stagnation point on a stretching sheet. Fluid is considered in a porous medium under the influence of (i)transverse magnetic field, (ii)volumetric rate of heat generation/absorption in the presence of radiation effect. Rosseland approximation is used to model the radiative heat transfer. The governing boundary layer equations are transformed to ordinary differential equations by taking suitable similarity variables. In the present reported work the effect of porosity parameter, radiation parameter, magnetic field parameter and the Prandtl number on flow and heat transfer characteristics have been discussed. Variation of above discussed parameters with the ratio of free stream velocity parameter to stretching sheet parameter have been graphically represented.
KEYWORDS
PAPER SUBMITTED: 2009-11-21
PAPER REVISED: 2009-12-16
PAPER ACCEPTED: 2010-01-19
DOI REFERENCE: https://doi.org/10.2298/TSCI1102517S
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2011, VOLUME 15, ISSUE Issue 2, PAGES [517 - 525]
REFERENCES
  1. Gupta, A. S. and Mahapatra, T. R., Stagnation-point flow towards a stretching surface, The Canadian Journal of Chemical Engineering, 81 (2003), pp. 258-263.
  2. Attia, H. A., Axisymmetric stagnation point flow towards a stretching surface in the presence of a uniform magnetic field with heat generation, Tamkang Journal of Science and Engineering, 10 (2007), 1, pp. 11-16.
  3. Attia, H. A., Hydromagnetic stagnation point flow with heat transfer over a permeable surface, The Arabian Journal for Science and Engineering, 28 (2003), pp. 107-112.
  4. AL-Harbi, S. M., Numerical study of heat transfer over permeable stretching surface with variable viscosity and thermal diffusivity in uniform magnetic field, Soochow Journal of Mathematics, 33 (2007), 2, pp. 229-240.
  5. Jat, R. N. and Chaudhary, S., MHD flow and heat transfer over a stretching sheet, Applied Mathematical Sciences, 3 (2009), 26, pp. 1285 - 1294.
  6. Timol, M. G. and Patel, M., Numerical solution of steady two-dimensional MHD forward stagnation point flow, Applied Mathematical Sciences, 3 (2009), 4, pp. 187 - 193.
  7. Singh, G. and Sharma, P. R., Effects of Ohmic heating and viscous dissipation on steady MHD flow near a stagnation point on an isothermal stretching sheet, Thermal Science, 13 (2009), 1, pp. 5-12.
  8. Bejan, A. and Nield, D. A., Convection in Porous Media (Third Edition), Springer, United States of America, 2006.
  9. White, F. M., Viscous Fluid Flow (Third Edition), McGraw-Hill, Singapore, 2006.
  10. Ghaly, A. Y. and. Elbarbary, E. M. E, Radiation effect on MHD free -convection flow of a gas at a stretching surface with a uniform free stream, Journal of Applied Mathematics, 2 (2002), 2, pp. 93-103.
  11. Pop, I., Pop, S. R. and Grosan, T., Radiation effects on the flow near the stagnation point, Technische Mechanik, 25 (2004), 2, pp. 100-106.
  12. Rashad, A. M., Radiative effect on heat transfer from a stretching surface in a porous medium, Int. J. of Appl. Math and Mech., 3 (2007), 4, pp. 14-23.
  13. Schlichting, H., Boundary Layer Theory (Seventh Edition), McGraw-Hill, Yew York, 1979.
  14. Ishak, A., Pop, I. and Nazar, R., Steady and unsteady boundary layers due to a stretching vertical sheet in a porous medium using Darcy-Brinkman equation model, Int. J. of Applied Mechanics and Engineering,11 (2006), 3, pp. 623-637.
  15. Jain, M. K., Jain, R. K. and Iyengar, S. R., Numerical Method for Scientific and Engineering Computation, Wiley Eastern Ltd., New Delhi, 1985.

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence