Conditional moment methods for polydisperse cavitating flows

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dc.contributor.author Bryngelson, Spencer H.
dc.contributor.author Colonius, Tim
dc.contributor.department Chemical and Biological Engineering
dc.contributor.other Center for Multiphase Flow Research and Education
dc.date.accessioned 2022-01-05T19:12:17Z
dc.date.available 2022-01-05T19:12:17Z
dc.date.issued 2021
dc.description.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.
dc.description.comments 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.
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/nrQBM5Wz
dc.language.iso en_US
dc.publisher arXiv
dc.source.uri https://arxiv.org/abs/2112.14172v1 *
dc.subject Bubbly flow
dc.subject cavitation
dc.subject population balance modeling
dc.subject quadrature-based moment methods
dc.subject.disciplines DegreeDisciplines::Physical Sciences and Mathematics::Physics::Fluid Dynamics
dc.title Conditional moment methods for polydisperse cavitating flows
dc.type Preprint
dspace.entity.type Publication
relation.isAuthorOfPublication 75da3185-b167-47f1-977f-b54aa85bd649
relation.isOrgUnitOfPublication 86545861-382c-4c15-8c52-eb8e9afe6b75
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