Conditional moment methods for polydisperse cavitating flows

Date
2021
Authors
Bryngelson, Spencer H.
Colonius, Tim
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arXiv
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Chemical and Biological Engineering
Abstract
The dynamics of cavitation bubbles are important in many flows, but their small sizes and high number densities often preclude direct numerical simulation. We present a computational model that averages their effect on the flow over larger spatiotemporal scales. The model is based on solving a generalized population balance equation (PBE) for nonlinear bubble dynamics and explicitly represents the evolving probability density of bubble radii and radial velocities. Conditional quadrature-based moment methods (QBMMs) are adapted to solve this PBE. A one-way-coupled bubble dynamics problem demonstrates the efficacy of different QBMMs for the evolving bubble statistics. Results show that enforcing hyperbolicity during moment inversion (CHyQMOM) provides comparable model-form accuracy to the traditional conditional method of moments and decreases computational costs by about ten times for a broad range of test cases. The CHyQMOM-based computational model is implemented in MFC, an open-source multi-phase and high-order-accurate flow solver. We assess the effect of the model and its parameters on a two-way coupled bubble screen flow problem.
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This is a pre-print of the article Bryngelson, Spencer H., Rodney O. Fox, and Tim Colonius. "Conditional moment methods for polydisperse cavitating flows." arXiv preprint arXiv:2112.14172 (2021). Copyright 2021 The Authors. Attribution 4.0 International (CC BY 4.0). Posted with permission.
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Bubbly flow, cavitation, population balance modeling, quadrature-based moment methods
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