UNSTEADY FLOW OF DUSTY VISCO- ELASTIC LIQUID BETWEEN TWO PARALLEL PLATES (KUVSHINISKI TYPE)

The unsteady flow of dusty visco-elastic liquid (Kuvshiniski type ) between two parallel plates when the lower plate is rest and the upper one begins oscillating harmonically in its plane is considered in view of its growing importance in various technical problems. In the present paper, consider the unsteady laminar flow of visco-elastic (Kuvshiniski type) liquid containing uniformly small solid particles between two infinitely extended parallel plates when the lower plate is at rest and the upper one begins oscillating harmonically in its own plane. The analytical expressions for velocity fields of liquid and dust particles are obtained which are in elegant forms. The effects of elastic elements in the liquid, the mass concentration, and the relaxation time of dust particles on the velocity profiles are studied. The skin friction at the lower plate wall and the total volume flow in between the plates are also obtained.