Non-axisymmetric Homann stagnation-point flow of a viscoelastic fluid towards a fixed plate

We have investigated the non-axisymmetric Homann stagnation-point flow of a viscoelastic fluid over a rigid plate. In a recent paper Weidman (2012) has modified Homann's stagnation point flow and made it non-axisymmetric over a rigid plate. Now if the fluid is non-Newtonian a new family of asymmetric stagnation-point flows arises depending on the shear to strain-rate ratio gamma(= b/a) and the viscoelastic parameter k. Here a, b are the strain rate and shear rate of the stagnation-point flow. The governing momentum equations are solved numerically using fourth order Runge-Kutta method with shooting technique. The effect of the various parameters on the wall shear stress parameters, the dimensionless velocities, the displacement thicknesses and the velocity distributions are analysed. Numerical results of wall shear stress and displacement thicknesses are compared with their large value behaviours and those behaviours give a good agreement with the corresponding numerical solutions. (C) 2019 Elsevier Masson SAS. All rights reserved.