Abstract
The liquid weight has a significant effect on the detached cavitation flow which is artificially created by gas injection behind an obstacle (probe) in a liquid stream [1], This paper considers two-dimensional cavitation flow created behind a projection on the lower surface of an infinite horizontal wall.
1. The problem of the cavitational flow about a plate which forms a small angle α with a wall is solved. The liquid is assumed to have weight and to be ideal and incompressible, and its motion is irrotational. The length L of the cavity is considerably greater than the length of the projection. The Ryabushinskii scheme is used.
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Abbreviations
- a :
-
is the ratio of plate length to cavity half-length
- η(x):
-
is the ordinate of the cavity contour
- f :
-
is a quantity inverse to the square of the Froude number expressed in terms of the cavity half-length L/2
- g:
-
is the gravitational acceleration
- U0 :
-
is the flow velocity at infinity
- σ:
-
is the cavitation number
- p0 :
-
is the pressure at infinity at the level of the horizontal wall
- Pk :
-
is the pressure in the cavity
- ρ :
-
is the liquid density
References
A. D. Pernik, Cavitation Problems [in Russian], Sudpromgiz, 1963.
N. I. Muskhelishvili, Singular Integral Equations [in Russian], Gostekhizdat, 1946.
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Butuzov, A.A. Limiting parameters of an artificial cavity formed on the lower surface of a horizontal wall. Fluid Dyn 1, 116–118 (1966). https://doi.org/10.1007/BF01013836
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DOI: https://doi.org/10.1007/BF01013836