Fluid Mechanics

In this project the slip effect on free convection of a Casson fluid past an infinite oscillating vertical plate with constant wall temperature is investigated. It is used to characterize the non-Newtonian fluid behavior. By introducing appropriate nondimensional variables the resulting equations are solved analytically by using the Laplace transform technique. The corresponding solutions for a Casson fluid without slip at the boundary for λ ! 0 a Newtonian fluid with slip for γ ! 1 and a Newtonian fluid in the absence of slip for λ ! 0 and γ ! 1 are obtained as limiting cases. The influence of the slip parameter and Casson parameter cause a decrease in the velocity field. Numerical results for velocity temperature Nusselt number and Skin fraction are shown in various graphs and discussed for the embedded flow parameters.