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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2010 Volume 22, Number 5, Pages 109–121 (Mi mm2977)

This article is cited in 3 papers

The research of dynamics of occurrence, spreading, growth and closure of bubble cavities and a supercavity in a pipe with the decontaminated liquid at hydroblows

E. A. Karakulin

Institute for Сomputer Science and Problems of Regional Management of KBSC of RAS

Abstract: Additional substantiations of reliability of a method of calculation of unsteady currents of a liquid in the pipeline at variables on coordinates and time speeds of a sound developed by the author and published earlier in the magazine “Mathematical modeling” are presented. For characteristic of cross-section of the simple pipeline with the cavitationing decontaminated liquid (near the supply capacity ($x=0$), in the middle of a pipe ($x=0.5L$), near completely closed throttle ($x=L$), where $x$ is a longitudinal coordinate, $L$ is a length of a pipe) and for characteristic times ($t$) developments of processes of cavitation (at the maximum length of a zone of cavitation ($t_{km}$), at the maximum total volume of bubbles cavities ($t_W$) and at full closing of all cavitational cavities ($t_c$)) are presented the dependences of changes over $x$ and $t$ during two cycles of total volumes ($W_\Sigma$) of bubble cavities, supercavity volumes ($W_{\varphi^2}$), steam-content ($\alpha$), speeds of a sound ($a$), a true pressure ($P'$) and the mass expense ($G$) of a liquid or the steam-and-liquid mixes calculated according to the above method. The analysis of these dependences which opens dynamics of cavitational processes in a pipe with decontaminated cavitationing liquid at hydroblows is given.

UDC: 519. 67-7+519.63

Received: 15.06.2009


 English version:
Mathematical Models and Computer Simulations, 2010, 2:6, 790–799

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