The flow under gravity of an incompressible and inviscid fluid through a constriction in a horizontal channel
| Autor: | Alfred Maurice Binnie, Stanley George Hooker |
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| Rok vydání: | 1937 |
| Předmět: | |
| Zdroj: | Proceedings of the Royal Society of London. Series A - Mathematical and Physical Sciences. 159:592-608 |
| ISSN: | 2053-9169 0080-4630 |
| DOI: | 10.1098/rspa.1937.0090 |
| Popis: | This paper is concerned with the flow of water under gravity along a vertical-walled, horizontal channel of varying cross-section; and with the analogy which exists between this flow and the two-dimensional flow of a compressible fluid under the same boundary conditions. The approximate theory of the water flow is precisely similar to that given by Osborne Reynolds for the flow of a compressible and inviscid gas through a nozzle. In order to test this theory, a channel of rectangular cross-section was constructed, a throat being formed in it by two symmetrically placed circular arcs. The discharge and the variation in depth of water along the axis of the channel under free flow were measured, and the experimental results showed a substantial difference from the predictions of the approximate theory. It was also found that vertical velocity gradients can lead to considerable errors if the static pressure on the channel be taken as equal to the height of the water column above. The discharge coefficient based upon the throat depth maintained an almost constant value of 0·89, independent of the total head in the supply tank. On the other hand, discharge coefficients based upon throat pressure or upon total supply head showed considerable variation over the experimental range. |
| Databáze: | OpenAIRE |
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