Stagnation Point Flow of a Williamson Fluid over a Nonlinearly Stretching Sheet with Thermal Radiation
M. Monica *
Department of Mathematics, Osmania University, Hyderabad, Telangana, India
J. Sucharitha
Department of Mathematics, Osmania University, Hyderabad, Telangana, India
Ch. Kishore Kumar
Department of Mathematics, Nizam College, Osmania University, Hyderabad, Telangana, India
*Author to whom correspondence should be addressed.
Abstract
The present analysis deals with the study of stagnation point flow of a Williamson fluid over a nonlinearly stretching sheet with thermal radiation. The partial differential equations governing this phenomenon were transformed into coupled nonlinear ordinary differential equations with suitable similarity transformations. These equations were then solved by numerical technique known as Keller Box method. The various parameters such as Prandtl number (Pr), velocity ratio parameter(), Williamson parameter (λ) and Radiation parameter (R) and non linear stretching parameter (n) determining the velocity and temperature distributions, the local Skin friction coefficient and the local Nusselt number governing such a flow were also analyzed. On analysis it was found that the Williamson fluid parameter (λ) decreased both the fluid velocity whereas an increase in (λ) increased wall skin-friction coefficient. The wall temperature gradient increased with an increase in Pr but decreased with radiation parameter R.
Keywords: Velocity ratio parameter, Williamson parameter, Radiation parameter, Stagnation point, Non linear stretching parameter