Annular Poiseuille flow of electrorheological and magnetorheological materials


Journal Article

Electro- (ER) and magnetorheological (MR) Materials exhibit substantial increases in yield stress when subjected to strong electric or magnetic fields. The applied electric/magnetic field satisfies Laplace's equations in the ER/MR material. In annular geometries, the resulting spatial variation of the electric/magnetic field results in a yield stress inhomogeneity. The analysis of annular Poiseuille flow of ER/MR Materials herein assumes a power-law relationship between the field and the yield stress, and includes the effects of the inhomogeneous yield stresses and hyperbolic shear stress distributions. The approximation of the solution to this problem by flow through an appropriately defined rectangular duct (in which the yield stress is constant and the shear stresses are linearly distribute) can be remarkably accurate, even for nonslender ducts. © 2001 The Society of Rheology.

Full Text

Duke Authors

Cited Authors

  • Gavin, HP

Published Date

  • July 1, 2001

Published In

Volume / Issue

  • 45 / 4

Start / End Page

  • 983 - 994

International Standard Serial Number (ISSN)

  • 0148-6055

Digital Object Identifier (DOI)

  • 10.1122/1.1378029

Citation Source

  • Scopus