AM05-10-005 無限小曲率の幽霊効果による平面ポワズイユ流からの縦ロール流の分岐(対流2,一般講演)

概要

論文の詳細を見る
Flows of a viscous incompressible fluid between two parallel plates for infinite Reynolds number are studied as the limiting behavior of flows between two coaxial circular cylinders as the radius of the inner cylinder and the Reynolds number tend to infinity simultaneously. When the speed of divergence of the radius is not faster than the square of the Reynolds number, the infinitesimal curvature produces a finite effect on the flow. Owing to this effect, a longitudinal vortical flow is found to bifurcate from the plane Poiseuille flow of a parabolic velocity profile at infinite Reynolds number. The relation between the radius and the Reynolds number that determines the bifurcation point is derived, and the bifurcated flow fields away from the bifurcation point are obtained numerically.
日本流体力学会の論文
2005-09-05