Stagnation point flow of a viscous incompressible fluid

Abstract

A steady two-dimensional incompressible viscous fluid flow in the vicinity of a stagnation point has been discussed. The reduced third order nonlinear ordinary differential equation of velocity has been solved using fourth order Runge-Kutta method with shooting technique. The qualitative (graphical) as well as quantitative (tabular) analysis of the velocity distribution has been made. Some of the important findings are (i) The viscous effect are confined in the boundary layer for fluids with very small viscosity. (ii) Outside the boundary layer, the viscous effect is negligible and the fluid is considered as inviscid. (iii) The difference in velocity between adjacent layers is decreasing for less viscous fluids.