Abstract
In the present study, the velocity field corresponding to the unsteady flow of Casson fluid between two parallel side walls perpendicular to an infinite plate that exerts an oscillating shear stress to the fluid is determined with the help of Fourier sine and cosine transforms. Exact solutions are obtained and given in simple form as a combination of transient and steady-state solutions, which satisfy the governing equation and all imposed initial and boundary conditions. These solutions are reduced to the similar solutions corresponding to the motion over an infinite plate, when and Newtonian fluid by making Casson parameter Furthermore, effect of side walls on the motion of fluid, the time which is required to attain the steady state and the distance between the side walls for which their presence can be ignored are graphically determined.
Publisher
City University of Science and Information Technology, Peshawar