Eur. Phys. J. Plus (2014) 129: 217
https://doi.org/10.1140/epjp/i2014-14217-9

Regular Article

Parallel and perpendicular flows of a micropolar fluid between slip cylinder and coaxial fictitious cylindrical shell in cell models

¹ Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt
² Department of Mathematics and Computer Science, Faculty of Science, Beirut Arab University, Beirut, Lebanon

^* e-mail: eaashmawy@alexu.edu.eg

Received: 4 April 2014
Revised: 24 June 2014
Accepted: 24 August 2014
Published online: 10 October 2014

Abstract

The quasisteady two-dimensional micropolar fluid flow between two coaxial cylinders is considered. The inner cylinder is assumed to be solid while the outer one is fictitious. Happel's cell model has been applied. Linear slip boundary conditions on the surface of the solid cylindrical particle are used for both velocity and microrotation. The modified Happels boundary conditions are applied at the fictitious cylindrical surface. Two flow problems are considered: the flow parallel to cylinders and the flow perpendicular to cylinders. Analytical expressions for Kozeny constant are obtained. The numerical values for the Kozeny constant are tabulated and represented graphically for various values of the physical parameters of the problem.