Abstract
The two-dimensional non-Newtonian steady flow on a power-law stretched surface with suction or injection is studied. Thermal conductivity is assumed to vary as a linear function of temperature. The transformed governing equations in the present study are solved numerically using the Runge-Kutta method. Through a comparison, results for a special case of the problem show excellent agreement with those in a previous work. Two cases are considered, one corresponding to a cooled surface temperature and the other to a uniform surface temperature. Numerical results show that the thermal conductivity variation parameter, the injection parameter, and the power-law index have significant influences on the temperature profiles and the Nusselt number.
Similar content being viewed by others
References
Fox, V. G., Erickson, L. E., and Fan, L. T. The laminar boundary layer on a moving continuous flat sheet immersed in a non-Newtonian fluid. AIChE Journal 15, 327–333 (1969)
Chen, C. K. and Char, M. Heat transfer of a continuous stretching surface with suction or blowing. J. Math. Anal. 135, 568–580 (1988)
Ahmad, N. and Mubeen, A. Boundary layer flow and heat transfer for the stretching plate with suction. Int. Comm. Heat Mass Transfer 22(6), 895–906 (1995)
Ali, M. E. On thermal boundary layer on a power-law stretched surface with suction or injection. Int. J. Heat Fluid Flow 16, 280–290 (1995)
Hassanien, A. I., Abdullah, A. A., and Gorla, R. S. R. Flow and heat transfer in a power-law fluid over a nonisothermal stretching sheet. Math. Comput. Model. 28, 105–116 (1998)
Tashtoush, B., Kodah, Z., and Al-Ghasem, A. Heat transfer analysis of a non-Newtonian fluid on a power-law stretched surface with suction or injection for uniform and cooled surface temperature. International Journal of Numerical Method for Heat and Fluid Flow 10(4), 385–396 (2000)
Herwig, H. and Wicken, G. The effect of variable properties on laminar boundary layer flow. War. Stoffubertr. 20, 47–57 (1986)
Chiam, T. C. Heat transfer in a fluid with variable thermal conductivity over a linearly stretching sheet. Acta Mechanica 129, 63–72 (1998)
Elbashbeshy, E. M. A. Free convection flow with variable viscosity and thermal diffusivity along a vertical plate in the presence of the magnetic field. Int. J. Eng. Sci. 38, 207–213 (2000)
Hossain, M. A, Munir, M. S., and Rees, D. A. S. Flow of viscous incompressible fluid with temperature dependent viscosity and thermal conductivity past a permeable wedge with uniform surface heat flux. Int. J. Therm. Sci. 39, 635–644 (2000)
Datti, P. S., Prasad, K., V., Abel, M. S., and Joshi, A. MHD visco-elastic fluid flow over a non-isothermal stretching sheet. Int. J. Eng. Sci. 42, 935–946 (2004).
Salem, A. M. The influence of thermal conductivity and variable viscosity on the flow of a micropolar fluid past a continuously semi-infinite moving plate with suction or injection. Il Nuovo Cimento 121B(1), 35–42 (2006)
Seddeek, M. A. and Salama, F. A. The effects of temperature dependent viscosity and thermal conductivity on unsteady MHD convective heat transfer past a semi-infinite vertical porous moving plate with variable suction. Computational Material Science 40, 186–192 (2007)
Chaim, T. C. Heat transfer with variable thermal conductivity in a stagnation-point flow towards stretching sheet. Int. Comm. Heat Mass Transfer 23, 239–248 (1996)
Adams, J. K. and Rogers, D. F. Computer-Aided Heat Transfer Analysis, McGraw-Hill, New York (1973)
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by Zhe-wei ZHOU
Rights and permissions
About this article
Cite this article
Salama, F.A. Effect of thermal conductivity on heat transfer for a power-law non-Newtonian fluid over a continuous stretched surface with various injection parameters. Appl. Math. Mech.-Engl. Ed. 31, 963–968 (2010). https://doi.org/10.1007/s10483-010-1331-z
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10483-010-1331-z