A compressible multi-scale model to simulate cavitating flows

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Journal of Fluid Mechanics

سال: 2023

ISSN: ['0022-1120', '1469-7645']

DOI: https://doi.org/10.1017/jfm.2023.192