Strong interactions bubble/bubble and bubble/flow

Chahine, Georges L.

doi:10.1007/978-94-011-0938-3_18

Cited by 26 publications

(32 citation statements)

References 3 publications

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“…For instance, Chahine and co-workers have used both RANS and boundary integral methods to study vortex bubble interaction. [4][5][6][7] They have shown how captured bubbles can significantly deform as they are captured by the vortex, grow and collapse.…”

Section: Introductionmentioning

confidence: 99%

Capture and inception of bubbles near line vortices

et al. 2005

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Motivated by the need to predict vortex cavitation inception, a study has been conducted to investigate bubble capture by a concentrated line vortex of core size r c and circulation ⌫ 0 under noncavitating and cavitating conditions. Direct numerical simulations that solve simultaneously for the two phase flow field, as well as a simpler one-way coupled point-particle-tracking model ͑PTM͒ were used to investigate the capture process. The capture times were compared to experimental observations. It was found that the point-particle-tracking model can successfully predict the capture of noncavitating small nuclei by a line vortex released far from the vortex axis. The nucleus grows very slowly during capture until the late stages of the process, where bubble/vortex interaction and bubble deformation become important. Consequently, PTM can be used to study the capture of cavitating nuclei by dividing the process into the noncavitating capture of the nucleus, and then the growth of the nucleus in the low-pressure core region. Bubble growth and deformation act to speed up the capture process.

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Section: Introductionmentioning

confidence: 99%

Capture and inception of bubbles near line vortices

et al. 2005

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“…By solving (2) and (3), one obtains the velocity on the bubble surface. The change of velocity potential on the bubble surface can be described by the Bernoulli equation:…”

Section: Description Of the Problemmentioning

confidence: 99%

“…The fast algorithm applied to requires computation operations of order O((m+n)·r 2 ) and memory usage of order O((m+n)·r). Here r depends on the prescribed ε.…”

Section: Adaptive Cross Approximationmentioning

confidence: 99%

“…Hence, the sphere can be represented by a mesh of quasi-lateral triangles. The numbers of nodes and elements are 10·D 2 +2 and 20·D 2 , respectively (D is a positive integer, termed as the degree of refinement). An example of approximating a spherical bubble is presented in Figure 3.…”

Section: Verification and Analysismentioning

confidence: 99%

“…The use of the BEM allows for discretization of the bubble surface only, which significantly simplifies the re-meshing process and therefore has been widely employed by many researchers for the solution of this problem (e.g. Blake et al [1], Chahine [2], and Khoo et al [3]). …”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The adaptive cross approximation accelerated boundary element method for bubble dynamics

Fu¹,

Popov

2012

WIT Transactions on Modelling and Simulation

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A model based on the adaptive cross approximation (ACA) accelerated boundary element method (BEM) is presented for solving bubble dynamics problems. The computational solution of multiple bubble dynamics problems has high CPU requirements since it involves moving gas-liquid phase interfaces. In order to efficiently solve such problems, a fast algorithm, i.e. adaptive cross approximation, is implemented to compress the induced collocation matrix. An efficient binary-bit key system is applied to build up a hierarchical tree structure for the discretized boundary. With the aid of the key system, the dense matrix is partitioned into blocks which satisfy the condition of admissibility or contain only one row/column. The implemented ACA-BEM numerical technique is verified using the Rayleigh-Plesset equation and it is shown to be of linear complexity.

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Numerical analysis of Rayleigh–Plesset equation for cavitating water jets

Alehossein

Qin

2007

Numerical Meth Engineering

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SUMMARYHigh-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 RayleighPlesset (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-Fehlberg (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.

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Strong interactions bubble/bubble and bubble/flow

Cited by 26 publications

References 3 publications

Capture and inception of bubbles near line vortices

Capture and inception of bubbles near line vortices

The adaptive cross approximation accelerated boundary element method for bubble dynamics

Numerical analysis of Rayleigh–Plesset equation for cavitating water jets

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