Unsteady flow of a dusty fluid through a circular pipe with impulsive pressure gradient

Summary The unsteady flow of a dusty fluid through a circular pipe induced by a time dependent impulsive pressure gradient, has been studied. The governing equations have been solved using Laplace transform technique. Results have been discussed with the help of graphs. It is observed that the velocity of the fluid phase as well as that of the particle phase decreases with increase of either volume fraction or mass concentration of particle phase. The instantaneous rate of discharge of fluid as well as that of the particle phase decreases with increase of mass concentration of particles. They increase with time and attain a steady state for large time.