Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2017, Number 4, Pages 40–45 (Mi vmumm81)  
This article is cited in 2 scientific papers (total in 2 papers)

Mechanics

Fluid outflow from an orifice in a plane wall in the presence of a variable-strength source on the symmetry plane of flow

S. L. Tolokonnikov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: A plane problem of unsteady jet outflow of an inviscid incompressible imponderable fluid through an orifice in a wall is considered in the presence of a variable-strength point source in a symmetry plane of the flow. The velocities of perturbed flow induced by the change in the source flow rate are assumed to be small compared to stationary flow velocities. The Gurevich–Haskind method is used to solve the problem. A boundary value problem for the complex potential of the perturbed flow is formulated and solved. The pressure distribution on solid walls is determined for the harmonic source strength variation with time. The evolution of the shape of the jet's free boundary is studied.
Key words: inviscid incompressible fluid, jet flow, point source, unsteadiness.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00519
15-01-00361
Received: 21.06.2016
English version:
Moscow University Mechanics Bulletin, 2017, Volume 72, Issue 4, Pages 89–93
DOI: https://doi.org/10.3103/S0027133017040033
Bibliographic databases:
Document Type: Article
UDC: 532.528
Language: Russian
Citation: S. L. Tolokonnikov, “Fluid outflow from an orifice in a plane wall in the presence of a variable-strength source on the symmetry plane of flow”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 4, 40–45; Moscow University Mechanics Bulletin, 72:4 (2017), 89–93
Citation in format AMSBIB
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\paper Fluid outflow from an orifice in a plane wall in the presence of a variable-strength source on the symmetry plane of flow
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\pages 40--45
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\vol 72
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