Non-axisymmetric Homann stagnation-point flows

A modification of Homann’s axisymmetric outer potential stagnation-point flow of strain rate a is obtained by adding periodic radial and azimuthal velocities of the form b0.167em rsin 2θ and b0.167em rcos 2θ , respectively, where b is a shear rate. This leads to the discovery of a new family of asymmetric viscous stagnation-point flows depending on the shear-to-strain-rate ratio γ = b/ a that exist over the range - ∞ < γ < ∞ . Numerical solutions for the wall shear stress parameters and the displacement thicknesses are given and compared with their large- γ asymptotic behaviours. Sample similarity velocity profiles are also presented.