Asymptotic Solutions for Three-Dimensional Low Reynolds Number Flow around an Impulsively Started Sphere

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概要

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• The unsteady flow field of an incompressible viscous fluid around an impulsively started sphere with slow motion is analyzed in detail using the method of matched asymptotic expansions. First, integral expressions are derived from the nonlinear Oseen-type vorticity equation and then they are solved asymptotically by an approach proposed by one of the authors. In the present paper we show that to complete the matching process, five local regions are necessary, unlike earlier theories, and the essential feature of these regions is similar to the flow around a two-dimensional circular cylinder analyzed by the present authors. Furthermore, the present paper demonstrates that the present approach leads to unique asymptotic solutions without matching with respect to the time coordinate.

• 一般社団法人日本機械学会の論文
• 2000-08-15

著者

• Kida Teruhiko

  Department Of Energy Systems Engineering Osaka Prefecture University

• NAKANISHI Masato

  Mechanical Engineering Research Laboratory, Hitachi Ltd.

• Nakanishi Masato

  Mechanical Engineering Research Laboratory Hitachi Ltd.

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• Second Order Core Spreading Vortex Method in Two-Dimensional Viscous Flows
• Asymptotic Solutions for Three-Dimensional Low Reynolds Number Flow around an Impulsively Started Sphere
• Unsteady Pressure Coefficient around an Elliptic Immersion Nozzle
• Convergence of Panel Methods Using Discrete Vortices around Two-Dimensional Bodies
• Integral Approach of Asymptotic Expansions for Low Reynolds Number Flow Past an Arbitrary Cylinder
• Asymptotic Expansions for Low Reynolds Number Flow past a Cylindrical Body

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