Unsteady three-dimensional stagnation point flow of a viscoelastic fluid

Abstract

The unsteady three-dimensional stagnation point flow of a viscoelastic fluid has been studied. Both nodal and saddle point regions of flow have been considered. The unsteadiness in the flow field is caused by the free stream velocity which varies arbitrarily with time. The governing boundary layer equations represented by a system of nonlinear partial differential equations have been solved numerically using a finite-difference scheme along with the quasilinearization technique in the nodal point region and a finite-difference scheme in combination with the parametric differentiation technique in the saddle point region. The skin friction coefficients for the viscoelastic fluid are found to be significantly less than those of the Newtonian fluid. The skin friction and heat transfer increase due to suction and reduce due to injection. The heat transfer at the wall increases with the Prandtl number. There is a flow reversal in the y-component of the velocity in the saddle point region. The absolute value of c (⋘ 0) for which reversal takes place is less than that of the Newtonian fluid.