物理学报Issue(21)：252-258,7.DOI:10.7498/aps.62.214702
界面张力对Rayleigh-Taylor不稳定性的影响
Effects of surface tension on Rayleigh-Taylor instability
摘要
Abstract
In this paper, Layzer’s model which has a simple velocity potential, and Zufiria’s model are extended to the case of non-ideal fluids, and the effects of surface tension on Rayleigh-Taylor instability are investigated. Firstly, the analytical expressions for the asymptotic bubble velocity and curvature are obtained in the two models. Secondly, the effects of surface tension on Rayleigh-Taylor instability are studied systematically. Finally, the two models are compared with each other and the comparisons with numerical simulation are made as well. The results indicate that the surface tension depresses the bubble velocity, but does not affect the bubble curvature. The Layzer’s model with the simple velocity potential gives a smaller bubble velocity than that predicted by the Layzer’s model with a complex velocity potential. But the bubble velocity predicted by the Layzer’s model with the simple velocity potential is larger than that obtained by Zufiria’s model. Both Layzer’s models lead to the same bubble velocity when the Atwood number is A=1.关键词
Rayleigh-Taylor不稳定性/界面张力/Layzer模型/Zufiria模型Key words
Rayleigh-Taylor instability/surface tension/Layzer’s model/Zufiria’s model引用本文复制引用
夏同军,董永强,曹义刚..界面张力对Rayleigh-Taylor不稳定性的影响[J].物理学报,2013,(21):252-258,7.基金项目
河南省科技厅自然科学基金(批准号:112300410151)和河南省教育厅自然科学基金(批准号:12A140012,13A140658)资助的课题.@@@@Project supported by the Foundation of Henan Provincial Department of Science and Technology, China (Grant No.112300410151), and the Foundation of Henan Educational Committee, China (Grant Nos.12A140012,13A140658) （批准号:112300410151）
