## Journal of Applied Mathematics

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

#### Abstract

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 $\mathrm{Gr}$, magnetic parameter $M$, Prandtl number $\mathrm{Pr}$, 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

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

Dates
First available in Project Euclid: 30 March 2003

https://projecteuclid.org/euclid.jam/1049075353

Digital Object Identifier
doi:10.1155/S1110757X02000086

Mathematical Reviews number (MathSciNet)
MR1908343

Zentralblatt MATH identifier
1065.76601

#### Citation

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. https://projecteuclid.org/euclid.jam/1049075353

#### References

• 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.