Non-similar solutions for unsteady flow over a yawed cylinder with non-uniform mass transfer through a slot

Non-similar solutions are found numerically to a system of coupled non-linear partial differential equations indicating, unsteady laminar water boundary layer flow over yawed cylinder using implicit finite difference scheme along with Quasi-linearization technique. The fluid properties such as viscosity and Prandtl number are considered as an inverse function of temperature. Unsteadiness is caused by upstream velocity in and directions and non-uniform mass transfer (suction/injection) which is applied through slot on the surface of the geometry. The effect of yaw angle, variable fluid properties and non-uniform mass transfer on skin friction and heat transfer coefficients is analyzed. It is found that non-uniform slot suction and downstream movement of the slot cause the point of vanishing skin friction moves downstream, but non-uniform slot injection produces the opposite result of that corresponding to the suction case. When the yaw angle increases, both the skin friction coefficient in the - direction and the heat transfer coefficient decrease but the skin friction coefficient in the - direction increases for all times. The effect of the yaw angle is very little on the point of vanishing skin friction. (C) 2014 Production and hosting by Elsevier B.V. on behalf of Ain Shams University.