Formation and propagation of waves during cavitation

2003 ◽  
Vol 3 ◽  
pp. 128-141
Author(s):  
K.R. Zakirov

The paper explores the collapse of a vapor bubble in a compressible fluid, accompanied by radiation from a divergent wave. The compressibility of a fluid is modeled using an isentropic equation of state of theta. The formation of a perturbation In the neighborhood of a bubble upon collapse, and then its propagation in surrounding the liquid upon re-expansion of the bubble. Divergent The wave is fairly accurately recorded in laser experiments breakdown of liquid, using sensors installed at some distance from the bubble. As for the formation of disturbances, in the literature there is a self-similar solution obtained for a liquid with equation Theta's state, which describes the final stage of the collapse. Based on this self-similar solution, a numerical scheme. After that, the numerical solution of the diverging wave is compared with available experimental data. Received good agreement with experiment.

Author(s):  
Yan Guo ◽  
Mahir Hadžić ◽  
Juhi Jang

AbstractUsing numerical integration, in 1969 Penston (Mon Not R Astr Soc 144:425–448, 1969) and Larson (Mon Not R Astr Soc 145:271–295, 1969) independently discovered a self-similar solution describing the collapse of a self-gravitating asymptotically flat fluid with the isothermal equation of state $$p=k\varrho $$ p = k ϱ , $$k>0$$ k > 0 , and subject to Newtonian gravity. We rigorously prove the existence of such a Larson–Penston solution.


2007 ◽  
Vol 5 ◽  
pp. 248-253
Author(s):  
A.G. Kutushev ◽  
A.V. Tatosov

A liquid outflow from a circular semi-bounded tube into a space flooded by another liquid due to the difference in densities is considered. A self-similar solution of the equations of motion is constructed. A comparison with experimental data is given.


1992 ◽  
Vol 3 (4) ◽  
pp. 319-341 ◽  
Author(s):  
S. P. Hastings ◽  
L. A. Peletier

We discuss the self-similar solutions of the second kind associated with the propagation of turbulent bursts in a fluid at rest. Such solutions involve an eigenvalue parameter μ, which cannot be determined from dimensional analysis. Existence and uniqueness are established and the dependence of μ on a physical parameter λ in the problem is studied: estimates are obtained and the asymptotic behaviour as λ → ∞ is established.


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