The Response of Hill's Vortex to a Small Three Dimensional Disturbance

スポンサーリンク

概要

• 論文の詳細を見る

• The response of Hill's vortex to a small three dimensional disturbance is examined . The perturbed field is expanded by the spherical solid harmonics Y_<nm> and a system of equations for the evolution of the expansion coefficients is obtained. It is shown that these equations are closed for each azimuthal number m. In a case of axisymmetric distortion, Moffatt and Moore (1978) showed that if the initial disturbance is such as to make the vortex prolate spheroidal, rotational fluid is detrained, forming a thin spike at the rear stagnation point, and if the vortex is initially oblate, irrotaional fluid is entrained there. When the initial distortion is not axisymmetric, numerical results for m=2 show that a peak of initial surface elevation moves downstream toward the rear stagnation point forming a spike-like structure.

• 社団法人日本物理学会の論文
• 1994-02-15

著者

• Fukuyu A

  Tokyo Denki Univ. Hiki‐gun

• Fukuyu Akio

  Department Of Mathematical Science Faculty Of Science And Engineering Tokyo Denki University

• Kanai Akimitsu

  Department Of Mathematical Sciences College Of Science And Engineering Tokyo Denki University

• Ruzi Taxpolat

  Department of Mathematical Sciences, College of Science and Engineering, Tokyo Denki University

• Ruzi Taxpolat

  Department Of Mathematical Sciences College Of Science And Engineering Tokyo Denki University

関連論文

• Application of Pade Approximation to Turbulence Problem
• Interaction of Two Vortex Filaments with Special Reference to Singularity Formation
• Oseen Approximation to Viscous Gas Flow
• Viscous Flow Due to the Motion of a Semi-Infinite Flat Plate in a Region of Fluid Bounded by a Rigid Plane
• Slow Motion in a Two-Dimensional Semi-Infinite Channel with Moving Walls
• A Statistical Mechanical Model for Two Dimensional Turbulence
• The Response of Hill's Vortex to a Small Three Dimensional Disturbance

スポンサーリンク