On the stability of Poiseuille flow of a Bingham fluid

Author:

Frigaard I. A.,Howison S. D.,Sobey I. J.

Abstract

The stability to linearized two-dimensional disturbances of plane Poiseuille flow of a Bingham fluid is considered. Bingham fluids exhibit a yield stress in addition to a plastic viscosity and this description is typically applied to drilling muds. A non-zero yield stress results in an additional parameter, a Bingham number, and it is found that the minimum Reynolds number for linear instability increases almost linearly with increasing Bingham number.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference23 articles.

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4. Orszag, S. A. 1971 Accurate solution of the Orr—Sommerfeld stability equation.J. Fluid Mech. 50,689–703.

5. Dowell, Schlumberger 1985 Rheology and flow calculations. In Cementing technology , chap. 4.Dowell Schlumberger.

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