The Proceedings of the Fluids engineering conference
Online ISSN : 2424-2896
2018
Session ID : OS8-9
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Mathematical model of cryogenic cavitation using a bubble size distribution
(application for turbomachinery)
*Yu ITOXiao ZHENGTakao NAGASAKI
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Abstract

A mathematical model using bubble size distribution was developed for a cryogenic high-speed cavitating flow in turbomachinery. In this model, bubble growth/shrinkage is solved for each class of bubble mass (as an accurate expression of bubble size) when bubbles with various masses mix in the same spatially discretized calculation region. The bubble growth/shrinkage calculations employ a combination of two rigorous methods: a Rayleigh–Plesset equation for the bubbles’ oscillation, and a heat conduction equation for a thermal boundary layer around a bubble to evaluate the mass rate of evaporation or condensation. The mathematical model of cavitation has potential to contribute to fidelity in simulation for studying turbomachinery when considering a fluid with a strong thermodynamic effect.

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© 2018 The Japan Society of Mechanical Engineers
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