Dual solutions in hydromagnetic stagnation point flow and heat transfer towards a stretching/shrinking sheet with non-uniform heat source/sink and variable surface heat flux

Abd El-Aziz, Mohamed

doi:10.1016/j.joems.2015.09.004

Dual solutions in hydromagnetic stagnation point flow and heat transfer towards a stretching/shrinking sheet with non-uniform heat source/sink and variable surface heat flux

Author

Mohamed Abd El-Aziz ¹^{, 2}

¹ Helwan University, Faculty of Science, Mathematics Department, P.O. Box, 11795 Cairo, Egypt

² King Khalid University, Faculty of Science, Mathematics Department, Abha 9004, Saudi Arabia

10.1016/j.joems.2015.09.004

Abstract

The steady stagnation-point flow and heat transfer of a viscous, incompressible and heat
generating/absorbing fluid over a shrinking sheet in the presence of a non-uniform heat source/sink
is considered. The system of partial differential equations was transformed to a system of ordinary
differential equations, which was solved numerically. Numerical results were obtained for the skin
friction coefficient, the surface temperature as well as the velocity and temperature profiles for some
values of the governing parameters. The study reveals that the range of velocity ratio parameter for
which the solution exists increases as the magnetic field increase.

Keywords