Study on the Collapse Process of Cavitation Bubbles Including Heat Transfer by Lattice Boltzmann Method

In this study, an improved double distribution function based on the lattice Boltzmann method (LBM) is applied to simulate the evolution of non-isothermal cavitation. The density field and the velocity field are solved by pseudo-potential LBM with multiple relaxation time (MRT), while the temperatur...

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Main Authors: Yang Liu, Yong Peng
Format: Article
Language:English
Published: MDPI AG 2021-02-01
Series:Journal of Marine Science and Engineering
Subjects:
Online Access:https://www.mdpi.com/2077-1312/9/2/219
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author Yang Liu
Yong Peng
author_facet Yang Liu
Yong Peng
author_sort Yang Liu
collection DOAJ
description In this study, an improved double distribution function based on the lattice Boltzmann method (LBM) is applied to simulate the evolution of non-isothermal cavitation. The density field and the velocity field are solved by pseudo-potential LBM with multiple relaxation time (MRT), while the temperature field is solved by thermal LBM-MRT. First, the proposed LBM model is verified by the Rayleigh–Plesset equation and D2 (the square of the droplet diameter) law for droplet evaporation. The results show that the simulation by the LBM model is identical to the corresponding analytical solution. Then, the proposed LBM model is applied to study the cavitation bubble growth and collapse in three typical boundaries, namely, an infinite domain, a straight wall and a convex wall. For the case of an infinite domain, the proposed model successfully reproduces the process from the expansion to compression of the cavitation bubble, and an obvious temperature gradient exists at the surface of the bubble. When the bubble collapses near a straight wall, there is no second collapse if the distance between the wall and the bubble is relatively long, and the temperature inside the bubble increases as the distance increases. When the bubble is close to the convex wall, the lower edge of the bubble evolves into a sharp corner during the shrinkage stage. Overall, the present study shows that this improved LBM model can accurately predict the cavitation bubble collapse including heat transfer. Moreover, the interaction between density and temperature fields is included in the LBM model for the first time.
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spelling doaj.art-b45c654543b74651882f0c43fa8584dc2023-12-11T17:36:29ZengMDPI AGJournal of Marine Science and Engineering2077-13122021-02-019221910.3390/jmse9020219Study on the Collapse Process of Cavitation Bubbles Including Heat Transfer by Lattice Boltzmann MethodYang Liu0Yong Peng1State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu 610065, ChinaState Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu 610065, ChinaIn this study, an improved double distribution function based on the lattice Boltzmann method (LBM) is applied to simulate the evolution of non-isothermal cavitation. The density field and the velocity field are solved by pseudo-potential LBM with multiple relaxation time (MRT), while the temperature field is solved by thermal LBM-MRT. First, the proposed LBM model is verified by the Rayleigh–Plesset equation and D2 (the square of the droplet diameter) law for droplet evaporation. The results show that the simulation by the LBM model is identical to the corresponding analytical solution. Then, the proposed LBM model is applied to study the cavitation bubble growth and collapse in three typical boundaries, namely, an infinite domain, a straight wall and a convex wall. For the case of an infinite domain, the proposed model successfully reproduces the process from the expansion to compression of the cavitation bubble, and an obvious temperature gradient exists at the surface of the bubble. When the bubble collapses near a straight wall, there is no second collapse if the distance between the wall and the bubble is relatively long, and the temperature inside the bubble increases as the distance increases. When the bubble is close to the convex wall, the lower edge of the bubble evolves into a sharp corner during the shrinkage stage. Overall, the present study shows that this improved LBM model can accurately predict the cavitation bubble collapse including heat transfer. Moreover, the interaction between density and temperature fields is included in the LBM model for the first time.https://www.mdpi.com/2077-1312/9/2/219cavitation bubble collapselattice Boltzmann pseudo-potential modelthermal lattice Boltzmann modeltemperature fieldcomplex boundaries
spellingShingle Yang Liu
Yong Peng
Study on the Collapse Process of Cavitation Bubbles Including Heat Transfer by Lattice Boltzmann Method
Journal of Marine Science and Engineering
cavitation bubble collapse
lattice Boltzmann pseudo-potential model
thermal lattice Boltzmann model
temperature field
complex boundaries
title Study on the Collapse Process of Cavitation Bubbles Including Heat Transfer by Lattice Boltzmann Method
title_full Study on the Collapse Process of Cavitation Bubbles Including Heat Transfer by Lattice Boltzmann Method
title_fullStr Study on the Collapse Process of Cavitation Bubbles Including Heat Transfer by Lattice Boltzmann Method
title_full_unstemmed Study on the Collapse Process of Cavitation Bubbles Including Heat Transfer by Lattice Boltzmann Method
title_short Study on the Collapse Process of Cavitation Bubbles Including Heat Transfer by Lattice Boltzmann Method
title_sort study on the collapse process of cavitation bubbles including heat transfer by lattice boltzmann method
topic cavitation bubble collapse
lattice Boltzmann pseudo-potential model
thermal lattice Boltzmann model
temperature field
complex boundaries
url https://www.mdpi.com/2077-1312/9/2/219
work_keys_str_mv AT yangliu studyonthecollapseprocessofcavitationbubblesincludingheattransferbylatticeboltzmannmethod
AT yongpeng studyonthecollapseprocessofcavitationbubblesincludingheattransferbylatticeboltzmannmethod