A new cavitation model based on bubble-bubble interactions

Maiga, Mahamadou Adama; Coutier-Delgosha, Olivier; Buisine, Daniel

doi:10.1063/1.5052257

Cited by 34 publications

(2 citation statements)

References 29 publications

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“…The study of cavitation extends beyond inception, and a significant research effort has been dedicated to the study following growth and collapse stages of cavitation. Published studies [88][89][90] have considered the effect of shock waves, [91][92][93][94] refraction wave 91,95-100 thermal growth 95,[101][102][103][104][105][106][107][108][109] and fluids properties, 107,110,111 and, in particular, liquid compressibility and viscosity 110,[112][113][114][115][116][117] and the presence of noncondensable gas. [118][119][120] Not many studies, however, have focused on the effect of passive flow control on bubble growth and collapse.…”

Section: Physics Of Fluidsmentioning

confidence: 99%

Cavitation control using passive flow control techniques

et al. 2021

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Passive flow control techniques, and particularly vortex generators have been used successfully in a broad range of aero-and hydrodynamics applications to alter the characteristics of boundary layer separation. This study aims to review how such techniques can mitigate the extent and impact of cavitation in incompressible flows. This review focuses first on vortex generators to characterize key physical principles. It then considers the complete range of passive flow control technologies, including surface conditioning and roughness, geometry modification, grooves, discharge, injection, obstacles, vortex generators, and bubble generators. The passive flow control techniques reviewed typically delay and suppress boundary layer separation by decreasing the pressure gradient at the separation point. The literature also identifies streamwise vortices that result in the transfer of momentum from the free stream to near-wall low energy flow regions. The area of interest concerns hydraulic machinery, whose performance and life span are particularly susceptible to cavitation. The impact on performance includes a reduction in efficiency and fluctuations in discharge pressure and flow, while cavitation can greatly increase wear of bearings, wearing rings, seals, and impeller surfaces due to excessive vibration and surface erosion. In that context, few studies have also shown the positive effects that passive controls can have on the hydraulic performance of centrifugal pumps, such as total head and efficiency. It is conceivable that a new generation of design in hydraulic systems may be possible if simple design features can be conceived to maximize power transfer and minimize losses and cavitation. There are still, however, significant research gaps in understanding a range of impact factors such as manufacturing processes, lifetime, and durability, and essentially how a static design can be optimized to deliver improved performance over a realistic range of operating conditions.

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Section: Physics Of Fluidsmentioning

confidence: 99%

Cavitation control using passive flow control techniques

et al. 2021

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“…The original RP equation (Rayleigh 1917;Plesset 1949) describes single-bubble behaviour in a quiescent incompressible liquid. Numerous modifications to this equation have been proposed to account for liquid compressibility (Gilmore 1952;Keller & Miksis 1980) and inter-bubble interactions (Seo et al 2010;Fuster & Colonius 2011;Maiga, Coutier-Delgosha & Buisine 2018). In the original RP equation, the external pressure a bubble experiences is the pressure at infinity (p ∞ ).…”

Section: Introductionmentioning

confidence: 99%

A compressible multi-scale model to simulate cavitating flows

Madabhushi

Mahesh

2023

J. Fluid Mech.

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We propose a compressible multi-scale model that (i) captures the dynamics of both large vapour cavities (resolved vapour) and micro-bubbles (unresolved vapour), and (ii) accounts for medium compressibility. The vapour mass, momentum and energy in the compressible homogeneous mixture equations are explicitly decomposed into constituent resolved and unresolved components that are independently treated. The homogeneous mixture of liquid and resolved vapour is tracked as a continuum in an Eulerian sense. The unresolved vapour terms are expressed in terms of subgrid bubble velocities and radii that are tracked in a Lagrangian sense using a novel ‘ $kR$ - $RP$ equation’ (k, constant multiple; R, bubble size; RP, Rayleigh-Plesset). The $kR$ - $RP$ equation is formally derived in terms of the pressure at a finite distance ( $kR$ ) from the bubble while accounting for the effects of neighbouring bubbles; $p(kR)$ may therefore be either a near-field or far-field pressure. The equation exactly recovers the classical Rayleigh–Plesset and Keller–Miksis equations in the limits that $k$ and $c$ (speed of sound) become very large. Also, the results are independent of $k$ for a single bubble for all $k$ , and for multiple bubbles when $kR < d$ (where $d$ denotes separation distance). Numerical results show this robustness of the model to the choice of $k$ , which can be different for each bubble. The multi-scale model is validated for the collapse of a single resolved/unresolved bubble. Its ability to capture inter-bubble interactions is demonstrated for multiple bubbles exposed to an acoustic pulse. The model is then applied to a problem where resolved and unresolved bubbles co-exist. Finally, it is validated using a cluster of $1200$ bubbles exposed to a strong acoustic pulse. The results show the impact of the bubble cluster on the transmitted and reflected waves and the shielding effect where bubbles at the edge of the cluster shield the interior bubbles by dampening the incident acoustic wave.

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