Sluice-gate problems with gravity
1977 ◽
Vol 81
(1)
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pp. 157-175
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AbstractIn this paper, a free-boundary problem of the steady plane flow of an ideal fluid through a slot is solved. The fluid flows under the effect of gravity between rigid boundaries, and then out of a slot as a jet which becomes horizontal at infinity downstream. A constructive proof of the existence of solutions to a non-linear integral equation is given for a parameter range 0 < ε < ε* ≃ 1·02 (where ε, the inverse Froude number, measures the effect of gravity). Approximations to the solution are then found for ε → 0.
1975 ◽
Vol 344
(1639)
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pp. 471-487
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1975 ◽
Vol s2-11
(1)
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pp. 7-10
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1920 ◽
Vol 97
(686)
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pp. 401-413
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1966 ◽
Vol 62
(2)
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pp. 249-261
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2000 ◽
Vol 570
(3)
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pp. 615-643
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