Magnetohydrodynamics flow of a Burgers' fluid in an orthogonal rheometer

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

Research output: Contribution to journalArticle

8 Citations (Scopus)

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

Fingerprint

Magnetohydrodynamic Flow
Rheometers
Magnetohydrodynamics
Boundary Layer
Oldroyd-B Fluid
Fluid
Fluids
Low Reynolds number
Newtonian Fluid
Dimensionless
Vorticity
Velocity Field
Torque
Reynolds number
Boundary layers
Exact Solution
Distinct
Model
Graphics
Form

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Applied Mathematics

Cite this

Siddiqui, Abdul M. ; Rana, M. A. ; Ahmed, Naseer. / Magnetohydrodynamics flow of a Burgers' fluid in an orthogonal rheometer. In: Applied Mathematical Modelling. 2010 ; Vol. 34, No. 10. pp. 2881-2892.
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Magnetohydrodynamics flow of a Burgers' fluid in an orthogonal rheometer. / Siddiqui, Abdul M.; Rana, M. A.; Ahmed, Naseer.

In: Applied Mathematical Modelling, Vol. 34, No. 10, 01.10.2010, p. 2881-2892.

Research output: Contribution to journalArticle

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