Self-similar Solution of the Problem of Inertia-less Free Flow of Viscous Liquid from Pipe into Submerged Volume

2007 ◽  
Vol 5 ◽  
pp. 248-253
Author(s):  
A.G. Kutushev ◽  
A.V. Tatosov
Keyword(s):  
Experimental Data ◽  
Viscous Liquid ◽  
Equations Of Motion ◽  
Similar Solution ◽  
Free Flow ◽  
Self Similar Solution ◽  
Self Similar ◽  
The Difference ◽  
Comparison With Experimental Data

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.

Formation and propagation of waves during cavitation

2003 ◽  
Vol 3 ◽  
pp. 128-141
Author(s):  
K.R. Zakirov
Keyword(s):  
Experimental Data ◽  
Equation Of State ◽  
Compressible Fluid ◽  
Numerical Scheme ◽  
Similar Solution ◽  
Self Similar Solution ◽  
Self Similar ◽  
Laser Experiments ◽  
Propagation Of Waves ◽  
Good Agreement

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.

On a self-similar solution for the decay of turbulent bursts

1992 ◽  
Vol 3 (4) ◽  
pp. 319-341 ◽  
Author(s):  
S. P. Hastings ◽  
L. A. Peletier
Keyword(s):  
Asymptotic Behaviour ◽  
Physical Parameter ◽  
Dimensional Analysis ◽  
Existence And Uniqueness ◽  
The Self ◽  
Similar Solution ◽  
Self Similar Solution ◽  
Eigenvalue Parameter ◽  
Self Similar ◽  
Similar Solutions

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.

Self-Similar Solution of an RC Transmission Line

1972 ◽  
Vol 40 (3) ◽  
pp. 484-486 ◽  
Author(s):  
K. E. Lonngren ◽  
W. F. Ames ◽  
H. C. S. Hsuan ◽  
I. Alexeff ◽  
William Wing
Keyword(s):  
Transmission Line ◽  
Similar Solution ◽  
Self Similar Solution ◽  
Self Similar
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