LAUSR

The present investigation aims to analyze the impact of temperature-dependent viscosity (TDV) on oscillatory Darcy flow of Casson fluid within a vertical channel in the presence of suction/injection and slip boundary condition which is applied at the cold wall. The governing equations of the present flow are transformed into dimensionless partial differential equations by using a set of non-dimensional variables. Analytical solution is obtained for the problem under consideration. The influence of distinct physical parameters on velocity profiles as well as on temperature profiles is demonstrated graphically. Here, it is remarkable to see that in the existence of TDV, the velocity of the fluid is lower for the case of Casson (non-Newtonian) fluid as compared to the Newtonian fluid. However, the velocity profiles for both types of fluids increase with increasing values of TDV parameter $$\epsilon .$$ ϵ .