IJPAM: Volume 23, No. 2 (2005)

POLAR FLUID FLOW BETWEEN TWO ECCENTRIC
ROTATING CYLINDERS: INERTIAL EFFECTS

C.F. Chan Man Fong$^1$, M.N. Farah$^2$, M.H. Hamdan$^3$, M.T. Kamel$^4$
$^1$3420 Papineau Courture
Rock Forest, Quebec, CANADA
e-mail: gischan@cooptel.qc.ca
$^2$Department of Mathematics
University of Mansoura, EGYPT
$^{3,4}$Department of Mathematical Sciences
University of New Brunswick
P.O. Box 5050, Saint John, New Brunswick, E2L 4L5, CANADA
$^3$e-mail: hamdan@unbsj.ca
$^4$e-mail: kamel@unbsj.ca


Abstract.The steady flow of an incompressible polar fluid between two rotating eccentric cylinders is studied. Expressions for velocity, stream function and spin are obtained. The torque acting on the inner cylinder is calculated and the effects of the coupling number, the eccentricity and the relative rotational speed of the cylinders on the flow behaviour are discussed.

Received: August 17, 2005

AMS Subject Classification: 76A99

Key Words and Phrases: polar fluids, eccentric rotating cylinders

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 23
Issue: 2