Laminar stagnation flow, axisymmetrically yet obliquely impinging on a moving circular cylinder, is formulated as an exact solution of the Navier-Stokes equations. Axial velocity is time-dependent while the surface transpiration is uniform and steady. The impinging free stream is steady with a strain rate . The governing parameters are the stagnation-flow Reynolds number , and the dimensionless transpiration . An exact solution is obtained by reducing the Navier-Stokes equations to a system of differential equations governed by Reynolds number and the dimensionless wall transpiration rate, S. The system of BVPs is then solved by shooting method and by deploying a finite difference scheme as a semi-similar solution. The results are presented for velocity similarity functions, axial shear stress and stream functions for a variety of cases. Shear stresses in all cases increase with the increase in Reynolds number and suction rate. The effect of different parameters on the deflection of viscous stagnation circle is also determined.

Keywords