Slow flow of a Bingham fluid in a gap of slowly varying width
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 ri...
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| Language: | English |
| Published: |
2009
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| Online Access: | http://hdl.handle.net/2429/14634 |
| Summary: | 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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