Abstract
In the present paper, we endeavor to perform a numerical analysis in connection with the nonlinear radiative stagnation-point flow and heat transfer to Sisko fluid past a stretching cylinder in the presence of convective boundary conditions. The influence of thermal radiation using nonlinear Rosseland approximation is explored. The numerical solutions of transformed governing equations are calculated through forth order Runge-Kutta method using shooting technique. With the help of graphs and tables, the influence of non-dimensional parameters on velocity and temperature along with the local skin friction and Nusselt number is discussed. The results reveal that the temperature increases however, heat transfer from the surface of cylinder decreases with the increasing values of thermal radiation and temperature ratio parameters. Moreover, the authenticity of numerical solutions is validated by finding their good agreement with the HAM solutions.
Highlights
A stagnation flow means the fluid motion near the stagnation region exists on a solid body where the fluid moves towards it
We endeavor to perform a numerical analysis in connection with the nonlinear radiative stagnation-point flow and heat transfer to Sisko fluid past a stretching cylinder in the presence of convective boundary conditions
The results reveal that the temperature increases heat transfer from the surface of cylinder decreases with the increasing values of thermal radiation and temperature ratio parameters
Summary
A stagnation flow means the fluid motion near the stagnation region exists on a solid body where the fluid moves towards it. After that the combine effects of stretching and stagnation-point were studied by Chaim[2] by taking stretching and straining velocities equal. His findings indicated that no boundary layer exists close to the sheet. Afterwards by taking different stretching and straining velocities the Chaim’s work was re-investigated by Mahapatra and Gupta[3] and their findings were quite interesting. They found two types of boundary layer structure close to the sheet depending on the ratio of stretching and straining velocity rates. Ibrahim et al.[8] analyzed the effect of magnetic field on the stagnation-point flow and heat transfer due to nanofluid towards a stretching sheet
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