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Effect of surface tension and viscosity on bubble growth of single mode Rayleigh-Taylor instability
  • ISSN号:0253-4827
  • 期刊名称:《应用数学和力学:英文版》
  • 时间:0
  • 分类:O351[理学—流体力学;理学—力学] O359[理学—流体力学;理学—力学]
  • 作者机构:[1]School of Mathematics and System Science, Shenyang Normal University, Shenyang 110034, China, [2]School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, Hunan Province, China
  • 相关基金:Project supported by the National Natural Science Foundation of China (Nos. 11171281 and 11201389)
中文摘要:

Based on the Zufiria theoretical model,a new model regarding the asymptotic bubble velocity for the Rayleigh-Taylor(RT) instability is presented by use of the complex velocity potential proposed by Sohn.The proposed model is an extension of the ordinary Zufiria model and can deal with non-ideal fluids.With the control variable method,the effect of the viscosity and surface tension on the bubble growth rate of the RT instability is studied.The result is consistent with Cao’s result if we only consider the viscous effect and with Xia’s result if we only consider the surface tension effect.The asymptotic bubble velocity predicted by the Zufiria model is smaller than that predicted by the Layzer model,and the result from the Zufiria model is much closer to White’s experimental data.

英文摘要:

Abstract Based on the Zufiria theoretical model, a new model regarding the asymptotic bubble velocity for the Rayleigh-Taylor (RT) instability is presented by use of the complex velocity potential proposed by Sohn. The proposed model is an extension of the ordinary Zufiria model and can deal with non-ideal fluids. With the control variable method, the effect of the viscosity and surface tension on the bubble growth rate of the RT instability is studied. The result is consistent with Cao's result if we only consider the viscous effect and with Xia's result if we only consider the surface tension effect. The asymptotic bubble velocity predicted by the Zufiria model is smaller than that predicted by the Layzer model, and the result from the Zufiria model is much closer to White's experimental data.

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期刊信息
  • 《应用数学和力学:英文版》
  • 主管单位:交通部
  • 主办单位:上海大学
  • 主编:周哲玮
  • 地址:上海市宝山区上大路99号上海大学122信箱
  • 邮编:200444
  • 邮箱:amm@department.shu.edu.cn
  • 电话:021-66135219 66165601
  • 国际标准刊号:ISSN:0253-4827
  • 国内统一刊号:ISSN:31-1650/O1
  • 邮发代号:
  • 获奖情况:
  • 上海市优秀科技期刊一等奖,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 美国数学评论(网络版),波兰哥白尼索引,德国数学文摘,荷兰文摘与引文数据库,美国工程索引,美国科学引文索引(扩展库),英国科学文摘数据库,日本日本科学技术振兴机构数据库,美国应用力学评论
  • 被引量:541