Magnetohydrodynamics flow of a Burgers' fluid in an orthogonal rheometer

A. M. Siddiqui, M. A. Rana, Naseer Ahmed

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

The magnetohydrodynamics flow of an electrically conducting, incompressible Burgers' fluid in an orthogonal rheometer is investigated. An exact solution is obtained. The effects of various dimensionless parameters existing in the model on the velocity field, vorticity and traction are studied graphically. It is noted that boundary layers form for a variety of reasons. It form as the Reynolds number increases. Also, as the Weissenberg number increases a distinct boundary layer formation is observed. It can develop at low Reynolds number provided the Weissenberg number is sufficiently high, however, it is not possible in the case of a Newtonian fluid. It is shown that no torque is exerted by the fluid on one of the disks. Results are compared with Oldroyd-B fluid.

Original languageEnglish (US)
Pages (from-to)2881-2892
Number of pages12
JournalApplied Mathematical Modelling
Volume34
Issue number10
DOIs
StatePublished - Oct 1 2010

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Applied Mathematics

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