Axisymmetric stagnation-point flow and heat transfer due to a stretching/shrinking vertical plate with surface second-order velocity slip

Abstract

The axisymmetric stagnation-point flow over a stretching/shrinking vertical surface with a second-order velocity slip and temperature jump is studied. By using a transformation of variables, the partial differential equations are transformed into ordinary (similarity) differential equations. These equations, along with the corresponding boundary conditions, are solved numerically using the boundary-value problems solver bvp4c in the Matlab software. Dual (first and second) solutions are found for these similarity equations arising from critical values of the dimensionless parameters. The effects of these parameters on the velocity and the temperature distributions as well as the skin friction coefficient and the Nusselt number are discussed. The dependence of the critical points on the governing parameters is also treated with the asymptotic nature of the solution for large values of the parameters being derived.