Journal
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
Volume 102, Issue 1, Pages 97-107Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0377-0257(01)00166-5
Keywords
bingham fluid; rheometry; variational inequality; finite stopping time
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It is shown that steady channel, simple shear and Couette flows of a Bingham fluid come to rest in a finite amount of time, if either the applied pressure falls below a critical value, or the moving boundaries are brought to rest. An explicit formula for a bound on the finite stopping time in each case is derived. This bound depends on the density, the viscosity, the yield stress, a new geometric constant, and the least eigenvalue of the second order linear differential operator for the interval under consideration. (C) 2002 Elsevier Science B.V. All rights reserved.
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