Similarity Solution of Radial Stagnation Point Flow and Heat Transfer of Nano Fluid with Uniform Transpiration

In this study the steady dimensionless temperature and convective heat transfer in the vicinity of stagnation point flow of a nanofluid along with uniform transpiration 0 U on a Stationary cylinder have been investigated. The impinging free-stream is steady and with a constant strain ratek . Similarity solution of the momentum and energy equations is derived by use of transformations introduced in this research. Self-similar solution is obtained when the wall temperature of the cylinder or its wall heat flux is constant. All the solutions are presented for Reynolds numbers f ak  2/Re 2 ranging from 0.1 to 1000 for different values of dimensionless transpiration, a kUS o / , and selected values of particle fractions where a is cylinder radius and f  is kinematic viscosity of the base fluid. Results show that for all Reynolds numbers, as the particle fraction decreases or suction rate increases, the depth of diffusion of the fluid velocity field in radial direction, the depth of the diffusion of the fluid velocity field in -direction and shearstresses increases as well as by increasing the particle fraction or suction rate, heat transfer coefficient and Nusselt number increases.