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VIII. On the pressure developed in a liquid during the collapse of a spherical cavity

Lord Rayleigh
- 01 Aug 1917 - 
- Vol. 34, Iss: 200, pp 94-98
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This article is published in Philosophical Magazine Series 1.The article was published on 1917-08-01. It has received 2532 citations till now. The article focuses on the topics: Collapse (topology).

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Numerical analysis of Rayleigh-Plesset equation for cavitating water jets

Abstract: High-pressure water jets are used to cut and drill into rocks by generating cavitating water bubbles in the jet which collapse on the surface of the rock target material. The dynamics of submerged bubbles depends strongly on the surrounding pressure, temperature and liquid surface tension. The Rayleigh-Plesset (RF) equation governs the dynamic growth and collapse of a bubble under various pressure and temperature conditions. A numerical finite difference model is established for simulating the process of growth, collapse and rebound of a cavitation bubble travelling along the flow through a nozzle producing a cavitating water jet. A variable time-step technique is applied to solve the highly non-linear second-order differential equation. This technique, which emerged after testing four finite difference schemes (Euler, central, modified Euler and Runge-Kutta-Fehiberg (RKF)), successfully solves the Rayleigh-Plesset (RP) equation for wide ranges of pressure variation and bubble initial sizes and saves considerable computing time. Inputs for this model are the pressure and velocity data obtained from a CFD (computational fluid dynamics) analysis of the jet. Copyright (c) 2007 John Wiley & Sons, Ltd.
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Plasma and cavitation dynamics during pulsed laser microsurgery in vivo.

TL;DR: The plasma and cavitation dynamics underlying pulsed laser microsurgery in water and in fruit fly embryos (in vivo) are compared--specifically for nanosecond pulses at 355 and 532 nm--to find two key differences.
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Sonoluminescence light emission

TL;DR: In this paper, a system of equations based on the Rayleigh?Plesset dynamics of the bubble's radius, polytropic uniform heating of the gas inside the bubble during collapse, the dissociation of molecular gases, and thermal radiation of the remaining hot noble gas, where its finite opacity (transparency for its own radiation) is essential.
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Partial discharge pulse sequence patterns and cavity development times in transformer oils under AC conditions

TL;DR: The average elapsed time from the incipient formation for the cavity to the onset of the first partial discharge event extended downwards from 0.62 to 0.42 /spl mu/s with increasing oil viscosity as discussed by the authors.
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Bubble collapse and the initiation of explosion

TL;DR: In this article, a high-speed jet was formed which crossed the cavity and hit the downstream wall sending out a shock wave into the surrounding material, and gas within the cavity was heated by rapid compression achieving temperatures leading to gas luminescence.