Unsteady flow of a dusty fluid between two oscillating plates under varying constant pressure gradient

S. Rashmi, V. Kavitha, B. Saba Roohi, Gurumurthy, B. J. Gireesha, C. S. Bagewadi

The problem of flow of a viscous incompressible embedded fluid with dust particles between two oscillating parallel plates is discussed using differential geometry techniques. The analysis applies to flows with plates oscillating in their own planes and the influence of constant pressure gradient. Initially, the fluid and dust particles are at rest. The expressions for exact velocities of fluid and dust particles are obtained by using Laplace transform methods. The changes in the velocity profiles at different times are shown graphically.