Irrotational flow of an ideal fluid stream around a rotating plate

1991 ◽  
Vol 31 (3) ◽  
pp. 406-407 ◽  
Author(s):  
V. S. Sadovskii
Author(s):  
I. L. Collings ◽  
R. Grimshaw

AbstractThe irrotational flow of an incompressible, inviscid fluid over a spiliway is considered. The reciprocal ε of the Froude number is taken to be small and the method of matched asymptotic expansions is applied. The bed of the spillway is horizontal far upstream and makes an angle α with the horizontal far downstream. The inner expansion is valid upstream and over the spillway, but is invalid far downstream. The outer expansion which is valid downstream fails to satisfy the upstream conditions. Unknown constants in the outer expansion are determined by the matching and composite expansions obtained.


2021 ◽  
Vol 164 ◽  
pp. 104201 ◽  
Author(s):  
Ramy Rashad ◽  
Federico Califano ◽  
Frederic P. Schuller ◽  
Stefano Stramigioli

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