Similarity Transformations of the Navier-Stokes Equation

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概要

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• Similarity transformations of the Navier-Stolces equation for the incompressiblefluid are studied by means of invariant transforjnation. It is shown that assumptionsof transformation from three to two independent space variables produce threedifferent types. One of the transformations is found to be equivalent to that ofLundgren and the others are new. Further, reduction of variables for the two dimen-sional equation to one space variable is discussed. A generalized form of Kambe'stransformation is obtained.

• 社団法人日本物理学会の論文
• 1985-12-15

著者

• Nishitani T

  Tokyo Inst. Technol. Tokyo

• Nishitani Toshiyuki

  Engineering Mathematics School Of Engineering Okayama University

• ISHII Kazushi

  Engineering Mathematics,School of Engineering Okayama University

• Ishii Kazushi

  Engineering Mathematics School Of Engineering Okayama University

関連論文

• Invariant Transformation of the Kadomtsev-Petviashvili Equation
• Similarity Transformations of the Navier-Stokes Equation
• Similarity Transformations of Compressible Viscous Flow in Conservative Force Fields.I.Two-Dimensional Problem

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