Successive Approximations for the Navier-Stokes Equations for Flows Past a Circular Cylinder and a Sphere

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概要

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• This paper attempts to find higher approximate solutions of the Navier-Stokesequations by successive approximations to a flow past a circular cylinder and asphere at small ReynoJds numbers. As the preparation of successive approxima-lions, Oseen's formal solutions for the vorticity l; and the stream function P arefirst expanded in powers of the Reynolds number 7?. Expansions hold the sameforms as the Oseen expansions. Substitution of these expansions in the Navier-Stokes equations yields a set of differential equations for the coefficient of 7l?".The leading terms of expansions are given by order I of the Oseen expansions.The successive solutions of ; and P for a circular cylinder and a sphere are obtainedup to the third and the first power of 7?, respectively. For the case of a circularcylinder the flow pattern is drawn at 7?=0.8 and the drag is derived up to thesecond approximation.

• 社団法人日本物理学会の論文
• 1984-07-15

著者

• Aoi Tyusei

  Department of General Education, Osaka Institute of Technology

• NAKABAYASHI Kohzaburo

  Department of General Education,Osaka Institute of Technology

関連論文

• Numerical Analysis for Viscous Shear Flows past a Circular Cylinder at Intermediate Reynolds Numbers
• Successive Approximations for the Navier-Stokes Equations for Flows Past a Circular Cylinder and a Sphere

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