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同心旋转圆柱间弱弹性流的非线性稳定性分析 被引量:1

Nonlinear Stability Analysis of Weak Elastic Flow between Concentric Rotating Cylinders
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摘要 基于同心旋转圆柱间 Oldroyd- B型流体的六维动力系统 ,探讨了小间隙大扰动条件下高分子添加剂对滑动轴承间油膜非线性稳定性的影响 .结果表明 ,弱弹性流体的失稳结构与牛顿流体相似 ,随着转速的增加 ,流体以同宿轨道分岔失稳 ,与牛顿流体相比 。 Based on the six dimensional dynamical system for Oldroyd B flow between two concentric cylinders, the effect of polymer additives on oil film stability in journal bearing has been analyzed. The results show that the instability structure of weak elastic flow is similar to that of Newtonian flow. The homoclinic orbit bifurcation occurs with the increase of velocity. Compared to Newtonian flow, a small amount of polymer additive can contribute to delay the transition from laminar flow to turbulence.
出处 《摩擦学学报》 EI CAS CSCD 北大核心 2000年第6期465-468,共4页 Tribology
基金 国家自然科学基金资助项目 !(19990 5 10 )
关键词 稳定性 数值分析 湍流减阻 非线性 润滑剂 stability numerical analysis drag reduction nonlinear lubricant
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  • 1Toms B A. Some observation on flow of linear polymer solutions through straight tubes at large Reynolds number[C]. In: Proceeding of First International Congress on Rheology, North Holland, Amsterdam, 1948, 135-141.
  • 2Coles D. Transition in circular Couette flow [J]. J Fluid Mech, 1965, 21: 385-425.
  • 3Taylor G I. Stability of a viscous liquid contained between two rotating cylinders [J]. Philos Trans R Soc London, 1923,A223: 289-343.
  • 4王海林,张青雷,朱均.同心旋转圆柱间粘弹性流的非线性动力学模型[J].摩擦学学报,2000,20(4):296-299. 被引量:4

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