Quasi-stability of the primary flow in a cone and plate viscometer (Q1885357)
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scientific article; zbMATH DE number 2111573
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasi-stability of the primary flow in a cone and plate viscometer |
scientific article; zbMATH DE number 2111573 |
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Quasi-stability of the primary flow in a cone and plate viscometer (English)
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28 October 2004
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The flow between a shallow rotating cone and a stationary plate is investigated, using a Navier-Stokes model. There is no analytical solution for this problem, only an approximate one. Due to the specific boundary, the regularity of the solution is poor. The authors construct analytically a corrector which enables to remove the singular part. Then they prove the asymptotic stability of the corrected flow under a smallness assumption. In the last part they present a numerical simulation corroborating their theoretical investigation.
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Navier-Stokes model
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singular part
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asymptotic stability
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numerical simulation
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approximate solution
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