IJPAM: Volume 34, No. 4 (2007)

STUDY OF UNSTEADY DUSTY FLUID FLOW THROUGH
RECTANGULAR CHANNEL IN FRENET
FRAME FIELD SYSTEM

B.J. Gireesha$^1$, C.S. Bagewadi$^2$, B.C. Prasannakumar$^3$
$^{1,2}$Department of Mathematics and Computer Science
Kuvempu University
Shankaraghatta, Shimoga, 577451, Karnataka, INDIA
$^1$e-mail: bjgireesu@rediffmail.com
$^2$e-mail: prof_bagewadi@yahoo.co.in
$^3$Department of Mathematics
SBM Jain College of Engineering
Kanakapura Road, Bangalore, Karnataka, INDIA
e-mail: prasbc@rediffmail.com


Abstract.The geometry of an unsteady viscous incompressible fluid with uniform distribution of dust particles through a long rectangular channel under the influence of time dependent periodic pressure gradient has been studied. Initially the fluid and dust particles are at rest. The analytical expressions for velocities of fluid and dust particles are obtained by solving the partial differential equations using variable separable method. The changes in the velocity profiles at different times are shown graphically.

Received: November 28, 2006

AMS Subject Classification: 76T10, 76T15

Key Words and Phrases: Frenet frame field system, rectangular channel, laminar flow, dusty fluid, velocity of dust phase and fluid phase

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 34
Issue: 4