Rayleigh-plesset方程推导
Webcussed Rayleigh-like and oscillatory bubble dynamics in N dimensions but only focused on the three-dimensional case and presented inconsistent results [1]. In this paper, the dynamics of a hyperspherical bubble are analyzed. Relevant terms such as the Rayleigh col-lapse time, Rayleigh-Plesset equation, and the Minnaert frequency are derived. WebAug 31, 2024 · Based on the two-fluid hydrodynamics, an analog of the famous Rayleigh-Plesset equation for the dynamics of a spherical vapor bubble in superfluid helium is derived. The two-fluid nature of He II and the specific form of the momentum flux density tensor give rise to a number of effects in the evolution of the boundary position R ( t ) , …
Rayleigh-plesset方程推导
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Web流体力学においてレイリー・プレセット方程式(レイリー・プレセットほうていしき、英語: Rayleigh–Plesset equation )とは、無限遠点まで満たされた液体内における球形の気泡 … Web在流体力学中,Rayleigh–Plesset方程 是一个用来描述在无限体积的液体中球型气泡的动力学特征的常微分方程。 它以瑞利男爵(John Strutt, 3rd Baron Rayleigh)和 Milton S. …
WebAn Internet Book on Fluid Dynamics Rayleigh-Plesset Equation Consider a spherical bubble of radius, R(t)(wheret is time), in an infinite domain of liquid whose temper- ature and … 在流体力学中,Rayleigh–Plesset方程 是一个用来描述在无限体积的液体中球型气泡的动力学特征的常微分方程。 它以瑞利男爵(John Strutt, 3rd Baron Rayleigh)和 Milton S. Plesset命名。 它通常被写作 () = + + +其中 为气泡内压强, 假设压强均匀一致不随空间变化() 为距气泡无限远的气泡外的压强 See more 在流体力学中,Rayleigh–Plesset方程 是一个用来描述在无限体积的液体中球型气泡的动力学特征的常微分方程。 它以瑞利男爵(John Strutt, 3rd Baron Rayleigh)和 Milton S. Plesset命名。 它通常被写作 See more 這個方程最早是由 W. H. Besant 在 1859 年推倒出來的。一個沒有作用力的均勻不可壓縮流體處於靜止狀態,忽略表面張力和黏性,而流體間突然產生一球型氣泡。距離氣泡中心無限遠的壓力應該保持不變。考慮到氣泡內的壓力變化, Besant 預測填充空腔所需的時間。 See more 1. ^ Rayleigh, Lord. On the pressure developed in a liquid during the collapse of a spherical cavity. Phil. Mag. 1917, 34: 94–98. See more
WebMar 14, 2024 · 气液两相流处在非平衡状态,空泡体积也时刻在变化,假设空泡为球形,不同时刻空泡半径Ri可用空泡动力学Rayleigh-Plesset方程解出,Rayleigh-Plesset方程描述了空泡在空化过程中的变化,如下式所示。 pB(t)-pρL=Rd2Rdt2+32dRdt2+4νLRdRdt+2SρLR(1) WebDec 21, 2024 · The Rayleigh-Plesset equation is a non-linear ODE, which can be solved to find the Radius of a bubble subject to non-linear oscillations due to an external driving sound wave (Sonoluminescence). Here is the form of the equation I used: ...
WebRayleigh–Plesset方程式經常應用於研究空穴現象中的氣泡, 照片顯示的是運動中的螺旋槳產生的氣泡 在 流體力學 中, Rayleigh–Plesset方程 是一個用來描述在無限體積的 液體 中 …
Web1. 基于 Rayleigh-Plesset方程 的空化模型改进与应用. 为了提高Schnerr-Sauer模型预测空化流场的能力,提出了一种修正的球形空泡动力学模型,结合均相流假设建立了一种基 … importance of income protectionWebThe extended Rayleigh–Plesset equation reveals that finite-size effects lead to the breakdown of the universal scaling relation between bubble radius and time that holds in the infinite-size limit. Our data indicate that the deformability of the porous medium slows down the collapse and expansion processes, a result with important consequences for wide … literally yoursWeb4.2.1 Rayleigh-Plesset equation Consider a spherical bubble of radius, R(t)(wheret is time), in an infinite domain of liquid whose temperature and pressure far from the bubble are … importance of incontinent careWebbody of liquid. The Rayleigh-Plesset equation is derived from the Navier-Stokes equations under the assumption of spherical symmetry. Neglecting surface tension and viscosity, … importance of incontinence careWebNov 21, 2024 · 农业机械学报基于Rayleigh-Plesset方程的改进空化模型及应用洪锋1高振军1袁建平3(1.三峡大学机械与动力学院,宜昌44300;.三峡大学水电机械设备设计与维护 … importance of income tax in indiaWebJun 25, 1998 · More specifically, many important properties can be derived from an analysis of bubble wall dynamics. This dynamics is conveniently described by the … literally什么意思中文WebRayleigh-Plesset方程. 1. Cavitation source term is derived from the generalized Rayleigh-Plesset equation to take into account the historical effect and unstable characteristics of … literally youtube