Journal
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
Volume 102, Issue 2, Pages 179-191Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0377-0257(01)00177-X
Keywords
yield stress; Bingham material; regularization; viscoplasticity
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Creeping flow around a solid sphere is solved numerically using two regularized constitutive equations that approximate a Bingham material. The yield surface cannot be easily established from contours of the yield stress obtained with finite values of the regularization parameter due to numerical constraints. The outer yield surface can be estimated from the values of the normalized second invariant of the deformation rate that are invariant with respect to the regularization parameter, and the limiting solution for creeping flow of a Bingham material about a rigid sphere appears to be achieved. (C) 2002 Elsevier Science B.V. All rights reserved.
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