FLOW OF AN UNSTEADY DUSTY FLUID BETWEEN TWO OSCILLATING PLATES UNDER VARYING PULSATILE PRESSURE GRADIENT

  • B. C. PRASANNAKUMARA
    Department of Mathematics, Govt. First Grade College, KOPPA, -577 126, CHICKMAGALUR(Dis) , Karnataka, INDIA
    dr.bcprasanna@gmail.com
  • B. J. GIREESHA
    Department of Mathematics, Kuvempu University, Shankaraghatta-577 451, Shimoga , Karnataka, INDIA
    bjgireesu@rediffmail.com
  • C. S. BAGEWADI
    Department of Mathematics, Kuvempu University, Shankaraghatta-577 451, Shimoga , Karnataka, INDIA
    prof_bagewadi@yahoo.co.in

Abstract

An analytical study of unsteady dusty fluid flow between two oscillating plates has been considered. The flow is due to influence of nontorsional oscillations of plates and pulsatile pressure gradient. Flow analysis is carried out using differential geometry techniques and exact solutions of the problem are obtained using Laplace Transform technique. Further graphs drawn for different values of Reynolds number and on basis of these the conclusions are given. Finally, the expressions for skin-friction are obtained at the boundaries.

Cuvinte cheie

Frenet frame field system; non-torsional oscillations dusty fluid; velocity of dust phase and fluid phase unsteady flow Reynolds number pulsatile pressure gradient