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Annular Poiseuille flow of electrorheological and magnetorheological materials

Publication ,  Journal Article
Gavin, HP
Published in: Journal of Rheology
July 1, 2001

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.

Duke Scholars

Published In

Journal of Rheology

DOI

ISSN

0148-6055

Publication Date

July 1, 2001

Volume

45

Issue

4

Start / End Page

983 / 994

Related Subject Headings

  • Polymers
  • 4012 Fluid mechanics and thermal engineering
  • 0915 Interdisciplinary Engineering
  • 0913 Mechanical Engineering
  • 0904 Chemical Engineering
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Gavin, H. P. (2001). Annular Poiseuille flow of electrorheological and magnetorheological materials. Journal of Rheology, 45(4), 983–994. https://doi.org/10.1122/1.1378029
Gavin, H. P. “Annular Poiseuille flow of electrorheological and magnetorheological materials.” Journal of Rheology 45, no. 4 (July 1, 2001): 983–94. https://doi.org/10.1122/1.1378029.
Gavin HP. Annular Poiseuille flow of electrorheological and magnetorheological materials. Journal of Rheology. 2001 Jul 1;45(4):983–94.
Gavin, H. P. “Annular Poiseuille flow of electrorheological and magnetorheological materials.” Journal of Rheology, vol. 45, no. 4, July 2001, pp. 983–94. Scopus, doi:10.1122/1.1378029.
Gavin HP. Annular Poiseuille flow of electrorheological and magnetorheological materials. Journal of Rheology. 2001 Jul 1;45(4):983–994.

Published In

Journal of Rheology

DOI

ISSN

0148-6055

Publication Date

July 1, 2001

Volume

45

Issue

4

Start / End Page

983 / 994

Related Subject Headings

  • Polymers
  • 4012 Fluid mechanics and thermal engineering
  • 0915 Interdisciplinary Engineering
  • 0913 Mechanical Engineering
  • 0904 Chemical Engineering