Rayleigh-plesset方程的推导
Webdiferencial formado por la ecuación de onda y una ecuación de Rayleigh-Plesset [1-3]. Este sistema no lineal de ecuaciones diferenciales en derivadas parciales representa el acoplamiento entre la presión acústica y las vibraciones de las burbujas. El propósito de este artículo es estudiar la generación de armónicos y frecuencia 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）
Rayleigh-plesset方程的推导
Did you know?
In fluid mechanics, the Rayleigh–Plesset equation or Besant–Rayleigh–Plesset equation is an ordinary differential equation which governs the dynamics of a spherical bubble in an infinite body of incompressible fluid. Its general form is usually written as where 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.
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. … http://www.dictall.com/indu59/17/5917089929F.htm
Web知乎，中文互联网高质量的问答社区和创作者聚集的原创内容平台，于 2011 年 1 月正式上线，以「让人们更好的分享知识、经验和见解，找到自己的解答」为品牌使命。知乎凭借认 … 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. doi:10.1080/14786440808635681. 2. ^ Plesset, M.S. The dynamics of cavitation bubbles. ASME J. Appl. Mech. 1949, 16: 228–231. See more
WebSeveral microbubble scattering models are highlighted (including the Rayleigh-Plesset model, the Rayleigh-Plesset-Noltingk-Neppiras-Poritsky model, the Herring model, the Marmottant model, and the non-spherical bubble dynamics model). The interaction between two microbubbles and the effect of radiation on the microbubbles is also discussed.
WebSep 16, 2024 · 在Rayleigh方程的基础上，Finch等[2]推导了固定温度下球形气泡在无界水池中径向运动的控制方程。 进一步地，Plesset等[3]在考虑气液交界面处表面张力作用及液体黏度的作用后，对Rayleigh方程进行了修正，并利用修正后的Rayleigh-Plesset方程对与周围环境处于热平衡状态下的蒸汽气泡的半径变化过程开展 ... imaging weslaco txWebJul 25, 2024 · The theory of spherical bubbles has constantly been improved to include physical (and chemical) effects. When the viscosity of the liquid and the surface tension at the interface (bubble wall) are considered, the now-standard Rayleigh--Plesset equation is obtained (Leighton, 1994; Plesset & Prosperetti, 1977). imaging wetherill parkWebJun 1, 2024 · I returned to The Acoustic Bubble (Leighton, 1994) and transferred the Rayleigh-Plesset equation. R R ¨ + 3 R ˙ 2 2 = 1 ρ { ( p 0 + 2 σ R 0 − p v) ( R 0 R) 3 κ + p v − 2 σ R − 4 η R ˙ R − p 0 − P ( t) }. into a Mathematica script, shown below. Note η is the dynamic viscosity, usually written as μ. P (t) is the driving sound ... imaging westmeadWebThe Rayleigh–Plesset equation is derived from the Navier–Stokes equations under the assumption of spherical symmetry. [] Neglecting surface tension and viscosity, the equation was first derived by John Strutt, 3rd Baron Rayleigh in 1917. The equation was first applied to traveling cavitation bubbles by Milton S. Plesset in 1949. imaging williamtownWebAbel微分方程 Abel differential equation Abd徽分方程!Abel山反比n‘ai equ浦佣;A血朋朋中扣巴-冈阳.压旧日傲比”娜圈le皿ej 常微分方程 .、‘一f0(x)十一f，(x沙一十_八(x妙2十fa(、沙’(第 … imaging whitbyWeb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. … list of games on the source enginehttp://brennen.caltech.edu/fluidbook/multiphase/Bubblegrowthandcollapse/rayleighplessetequation.pdf imaging windows 10 to a new hard drive