Upper Bounds and Saint-Venant’s Principle for Incompressible Potential-Flow Fields
| Autor: | P. C. Chou, R. L. Drake |
|---|---|
| Rok vydání: | 1965 |
| Předmět: |
Saint-Venant's Principle
Mechanical Engineering Mathematical analysis Condensed Matter Physics Energy–depth relationship in a rectangular channel Physics::Fluid Dynamics Classical mechanics Distribution (mathematics) Flow (mathematics) Mechanics of Materials Compressibility Potential flow Axial symmetry Computer Science::Information Theory Mathematics Communication channel |
| Zdroj: | Journal of Applied Mechanics. 32:661-664 |
| ISSN: | 1528-9036 0021-8936 |
| DOI: | 10.1115/1.3627275 |
| Popis: | An upper-bound approach to Saint-Venant’s principle is presented for incompressible potential-flow fields. Upper bounds for the velocity and its potential are found for the flow in a rectangular channel and in an axially symmetric cylindrical channel. It is found that any deviation in velocity distribution at the entrance of the channel which does not change the net flow attenuates to a negligible quantity beyond a section which is at a distance of two channel widths from the entrance. |
| Databáze: | OpenAIRE |
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