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Viscous Rayleigh-Taylor instability with and without diffusion effect
  • ISSN号：0253-4827
  • 期刊名称：《应用数学和力学：英文版》
  • 时间：0
  • 分类：O357.1[理学—流体力学;理学—力学]
  • 作者机构：[1]Center for Applied Physics and Technology (CAPT)-MOE Key Laboratory of High Energy Density Physics Simulation (HEDPS), State Key Laboratory for Turbulence and Complex System (SKLTCS), Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing 100871, China, [2]Department of Engineering, University of Cambridge, Cambridge CB2 1PZ, U. K.
  • 相关基金：Project supported by the National Natural Science Foundation of China （Nos. 11225209, 11490553, and 11221062）
作者： Chenyue XIE[1], Jianjun TAO[1], Ji LI[2]
关键词： 粘滞, Rayleigh-Taylor, 不稳定性(RTI, ), 分散关系, 散开效果, viscous Rayleigh-Taylor instability （RTI）, dispersion relation, diffusioneffect
中文摘要：

近似却分析的答案粘滞 Rayleigh-Taylor 不稳定性(RTI ) 最近广泛地由于它的清澈在理论、数字的调查被使用了。在这份报纸，生长率为的一个修改分析答案粘滞不可压缩的液体的 RTI 基于一个近似方法被获得。它的精确性数字地被验证显著地为不同粘性比率和 Atwood 数字在整个波浪数字范围与以前的那比较被改善。而且，这个答案被扩展为粘滞包括集中散开效果的 RTI。

英文摘要：

The approximate but analytical solution of the viscous Rayleigh-Taylor insta- bility （RTI） has been widely used recently in theoretical and numerical investigations due to its clarity. In this paper, a modified analytical solution of the growth rate for the viscous RTI of incompressible fluids is obtained based on an approximate method. Its accuracy is verified numerically to be significantly improved in comparison with the previous one in the whole wave number range for different viscosity ratios and Atwood numbers. Fur- thermore, this solution is expanded for viscous RTI including the concentration-diffusion effect.

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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
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  • 被引量:541