| Hydrodynamic plane and axisymmetric slip stagnation-point flow with thermal radiation and temperature jump
Jing Zhu1,*, Liancun Zheng1 and Xinxin Zhang2
The Journal of Mechanical Science and Technology, vol. 25, no. 7, pp.1837-1844, 2011
Abstract : This work focuses on the steady boundary layer flow and heat transfer near the forward stagnation point of plane and axisymmetric
sheet towards a stretching sheet with velocity slip and temperature jump. The resulting nonlinear partial differential equations are reduced
to the system of nonlinear ordinary differential equations by means of similarity transformations. The analytical solutions for the velocity
and temperature distributions are obtained for the various values of the ratio of free stream velocity and stretching velocity, velocity slip
parameter, magnetic parameter, the suction parameter, temperature jump parameter, Prandtl number, the radiation parameter and dimensionality
index parameter in the series forms with the help of homotopy analysis method. Convergence of the series is explicitly discussed.
The flow and shear stresses depend heavily on the velocity slip parameter. The temperature gradient at the wall increases with
velocity slip parameter, temperature jump factor and decreased thermal radiation.
Keyword : Slip flow; Stagnation point; Thermal radiation; Homotopy analysis method; Temperature jump |
