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

Matematičeskoe modelirovanie, Tome 22 (2010) no. 5, pp. 109-121

Résumé

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.