Loading...
Please wait, while we are loading the content...
Similar Documents
Shock Waves in Bubbly Liquids
| Content Provider | Semantic Scholar |
|---|---|
| Author | Wijngaarden, L. J. Van |
| Copyright Year | 2007 |
| Abstract | The structure of shock waves in bubbly liquids is governed by the behavior of the bubbles. Therefore this chapter starts with a survey of bubble dynamics. This includes the Rayleigh–Plesset equation for bubble oscillations, and the related Minnaert frequency for volume oscillations. A striking property of bubbly liquids is the low sound velocity even at small gas concentration. This is also discussed in Sect. 1.2, together with a survey of linear acoustic waves. Whereas in single phase media a shock wave is formed as a balance between the tendency of a compressive wave to nonlinear steepening on one hand and viscous dissipation on the other, the mechanism opposing steepening is in bubbly liquids dispersion rather than viscous dissipation. This leads as in other areas to the Korteweg–deVries (KdV) equation. Another mechanism of importance is relaxation. These various subjects are treated in Sects. 1.3 and 1.4 before in Sects. 1.4 and 1.5 shock waves are dealt with, strong shocks in Sects. 1.5 and 1.6 and moderately strong in Sect. 1.5/Sect. 1.6. Since moderately strong waves obey the KdV equation there is an opportunity to put the so-called inverse scattering theory to a test. According to this an expansion wave evolves, as opposed to a compressive wave, in a finite number of solitons. In Sect. 1.6 experiments with an expansion wave are described and comparison with the corresponding theory is made. |
| Starting Page | 3 |
| Ending Page | 33 |
| Page Count | 31 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/978-3-540-35846-6_1 |
| Alternate Webpage(s) | https://www.springer.com/cda/content/document/cda_downloaddocument/9783540358459-c1.pdf?SGWID=0-0-45-356304-p173664711 |
| Alternate Webpage(s) | https://doi.org/10.1007/978-3-540-35846-6_1 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
