Table of Contents
Smart Materials Research
Volume 2013, Article ID 171456, 10 pages
Research Article

Inertia Effects in the Flow of a Herschel-Bulkley ERF between Fixed Surfaces of Revolution

University of Zielona Góra, Department of Mechanics and Design of Machines, ul. Szafrana 2, P.O. Box 47, 65-516 Zielona Góra, Poland

Received 28 March 2013; Accepted 13 June 2013

Academic Editor: Hideki Hosoda

Copyright © 2013 A. Walicka and J. Falicki. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Many electrorheological fluids (ERFs) as fluids with microstructure demonstrate viscoplastic behaviours. Rheometric measurements indicate that some flows of these fluids may be modelled as the flows of a Herschel-Bulkley fluid. In this paper, the flow of a Herschel-Bulkley ER fluid—with a fractional power-law exponent—in a narrow clearance between two fixed surfaces of revolution with common axis of symmetry is considered. The flow is externally pressurized, and it is considered with inertia effect. In order to solve this problem, the boundary layer equations are used. The influence of inertia forces on the pressure distribution is examined by using the method of averaged inertia terms of the momentum equation. Numerical examples of externally pressurized ERFs flows in the clearance between parallel disks and concentric spherical surfaces are presented.