A consistent thin--layer theory for Bingham plastics

Thin-layer theory is developed for Bingham plastic fluids; the specific case of a fluid flowing down an inclined plane is considered. In contrast to previous work it is indicated how the Bingham model leads directly to a self-consistent thin-layer theory; this does not rely upon adopting a bi--viscous approximation. The theory describes the fluid in terms of regions of fully plastic flow bounded by a ``fake'' yield surface. Above this fake yield surface are ``pseudo-plugs'' -- regions in which the leading-order equations predict a plug, but which are seen to be weakly yielded at higher order.

Co-authored with Dr N.J. Balmforth.

J. Non-Newtonian Fluid Mechanics, 84, 65-81, 1999

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