Smt. N. G. Siddagangamma


The present paper an attempt to study  flow of an unsteady dusty fluid through a circular pipe under the influence of impulsive pressure gradient. We have assumed that the initial fluid velocity to be some average velocity. Analytical expressions for the velocities of fluid and dust particles are obtained by using Laplace transform technique. The influence of mass concentration and relaxation time of the dust on the velocity have been clearly pointed out. Results have been discussed with the help of graphs.


Pipe flow; Two-phase flow; Non-Newtonian fluid; incompressible flow; volume fraction.

Full Text:



Uchida, S. (1956). The pulsating viscous flow superposed on the steady laminar motion of incompressible fluid in a circular pipe Math, Physics. 7, 403-422

Saffman, P.G. (1962). On the stability of laminar flow of a dusty gas. J. Fluid Mech.13, 120-128

Nayfeh, A.H. (1966). Oscillating two-phase flow through a rigid pipe. A.I.A.A.J. 4, 1868- 1870.

Sambasiva Rao, P. (1969). Unsteady flow of a dusty viscous liquid through circular cylinder, Def.Sci.j, 19,135-138,

Dube, S.N. and Srivastave, L.P. (1972). Unsteady flow of dusty viscous liquid in a channel and a pipe, Defence Science Journal, 22, 195-198

Reddy, Y. B. (1972). Flow of a Dusty liquid through rectangular channel, Defence Science Journal, ,22, 149-152

Walburn, F.J. and Schneck, D.J. (1976). A Constitutive equation for whole human blood. Biorheology,13, 201-210

Kishore, N., Pandey, R.D. (1977). On the flow of a dusty viscous liquid through a circular pipe. Proc. Indian Acad. Science, 85A, 299-302

Nag, S. K., Jana, R.N. (1981). Oscillating two – phase flow in an elastic tube. Acta. Mech. 41, 121-128

Ramana Prasad, V.V. and Pattabhi Ramacharyulu, N.Ch. (1981). Couette flow of a Dusty Incompressible Fluid with one of the Horizontal moving boundaries suddenly stopped., Defence Science Journal, 31(3), 231-240

Reddy, J.N. and Padhye, V.A. (1988). A Penalty finite element model for axisymmetric flows of non-Newtonian fluids. Num. Math. Part. Diff. Eq. 4, 33-56.

Mann, D.E. and Tarbell, J.M. (1990). Flow of non-Newtonian blood analog fluids in rigid curved and straight artery models. Biorheology, 27,711-733.

Ghosh, A.K., Khan, A.R., and Debnath, L (1990). On a pulsatile flow of a two-phase viscous fluid in a tube of elliptic cross section. International Journal Mathematics and Mathematic Science, 13(4), 669-676.

Datta, N. and Dalal, D.C. (1992). Unsteady flow of dusty fluid through a circular pipe with impulsive pressure gradient. Acta Mechanica, 95, 51-57 (1992).

Andersson, H.I. and Tiseth, K.L. (1992). Start-up flow in a pipe following the sudden imposition of a constant flow rate. Chem. Engg. Comm, 112, 121-133.

Hazeem Ali Attia (2006). Hall effect on the flow of a Dusty Bingham fluid in a circular pipe, Turkish Journal of English Environment. Science, 30, 14-21.

Gireesha, C.S. Bagewadi and B.C. Prasanna kumar (2007). Flow of unsteady dusty fluid under varying pulsatile pressure gradient in anholonomic co-ordinate system, EJTP, 4, 14, 9-16.

Rashmi, S., V.Kavitha, B.Saba Roohi, Gurumurthy, B.J.Gireesha and C.S. Bagewadi (2007). Unsteady flow of a dusty fluid between two oscillating plates under varying constant pressure gradient, Novi Sad Journal of Mathematics, 37(2), 25- 34.

Siddapasappa, Y.Venkateshappa, B.Rudraswamy, B.J. Gireesha and K.R. Gopinath. (2008). Viscous dusty fluid flow with constant velocity magnitude, EJTP, 5, 237- 252.


  • There are currently no refbacks.

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.