Journal of Applied Mathematics

Radiation effect on MHD free-convection flow of a gas at a stretching surface with a uniform free stream

Ahmed Y. Ghaly and Elsayed M. E. Elbarbary

Full-text: Open access


We investigate the problem of free convection heat transfer near an isothermal stretching sheet. This has been done under the simultaneous action of buoyancy, radiation, and transverse magnetic field. The governing equations are solved by the shooting method. The velocity and temperature functions are represented graphically for various values of the flow parameters: radiation parameter F, free convection parameter Gr, magnetic parameter M, Prandtl number Pr, and the parameter of relative difference between the temperature of the sheet, and the temperature far away from the sheet r. The effects of the radiation and magnetic field parameters on the shear stress and heat flux are discussed.

Article information

J. Appl. Math., Volume 2, Number 2 (2002), 93-103.

First available in Project Euclid: 30 March 2003

Permanent link to this document

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 76D10: Boundary-layer theory, separation and reattachment, higher-order effects 76R10: Free convection
Secondary: 76W05: Magnetohydrodynamics and electrohydrodynamics


Ghaly, Ahmed Y.; Elbarbary, Elsayed M. E. Radiation effect on MHD free-convection flow of a gas at a stretching surface with a uniform free stream. J. Appl. Math. 2 (2002), no. 2, 93--103. doi:10.1155/S1110757X02000086.

Export citation


  • C. K. Chen and M. I. Char, Heat transfer of a continuous, stretching surface with suction or blowing, J. Math. Anal. Appl. 135 (1988), no. 2, 568–580.
  • J. E. Danberg and K. S. Fansber, Nonsimilar solution for the flow in the boundary layer past a stretched wall, Quart. Appl. Math. 34 (1976), 305–311.
  • E. M. A. Elbashbeshy, Heat transfer over a stretching surface with variable surface heat flux, J. Phys. D: Appl. Phys. 31 (1998), 1951–1954.
  • L. E. Erickson, L. T. Fan, and V. G. Fox, Heat and mass transfer on a moving continuous flat plate with suction or injection, Indust. Eng. Chem. 5 (1966), 19–25.
  • P. S. Gupta and A. S. Gupta, Heat and mass transfer on a stretching sheet with suction or blowing, Canadian J. Chem. Engrg. 55 (1977), 744–746.
  • W. M. Rohsenow, J. P. Hartnett, and Y. I. Cho (eds.), Handbook of Heat Transfer, 3rd ed., McGraw-Hill, New York, 1998.
  • B. C. Sakiadis, Boundary layer behaviour on continuous solid surfaces: I. The boundary layer equations for two-dimensional and axisymmetric flow, AIChE J. 7 (1961), 26–28.
  • H. S. Takhar, R. S. R. Gorla, and V. M. Soundalgekar, Radiation effects on MHD free convection flow of a gas past a semi-infinite vertical plate, Internat. J. Numer. Methods Heat Fluid Flow 6 (1996), no. 2, 77–83.
  • K. Vajravelu and A. Hadjinicolaou, Convective heat transfer in an electrically conducting fluid at a stretching surface with uniform free stream, Internat. J. Engrg. Sci. 35 (1997), no. 12-13, 1237–1244.