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Slow flow of a Bingham fluid in a gap of slowly varying width Ryan, Daniel Padraigh

Abstract

The slow Poiseuille flow of a Bingham fluid in an infinitely long gap of slowly varying width is considered. A consistent analytical theory is developed using a lubrication scaling without deviating from the Bingham model. It is shown that for sufficiently small gap width variations there is a rigid plug zone around the center of the gap. A numerical treatment of the problem is also presented using the method of augmented Lagrangian.

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