Non-axisymmetric stagnation-point flow and heat transfer of a viscous luid on a stationary cylinder

Abstract

The steady-state viscous flow and heat transfer in the vicinity of a nonaxisymmetric stagnation point of an in nite stationary cylinder with non-uniform normal transpiration, U0('), and constant wall temperature are investigated. The impinging free stream is steady and with a constant strain rate, k. A reduction in Navier-Stokes and energy equations is obtained by use of appropriate similarity transformations. The semisimilar solution of the Navier-Stokes equations and energy equation has been obtained numerically using an implicit nite-di erence scheme. All the solutions above are presented for Reynolds number, Re = ka2=2 , ranging from 0.01 to 100 for di erent values of Prandtl number and for selected values of transpiration rate function, S(') = U0(')= ka, where a is cylinder radius and is kinematic viscosity of the fluid. Dimensionless shear stresses corresponding to all the cases increase with increase in Reynolds number and transpiration rate function. The local coe cient of heat transfer (Nusselt number) increases with the increasing transpiration rate function and Prandtl number.