曲率と捩率が周期的に変化する円管内の流れによるカオス混合(流体数理(1),一般講演)

概要

論文の詳細を見る
Chaotic motion of fluid particles by a steady viscous flow in a helix-like circular pipe caused by an axial pressure gradient, and mixing efficiency of this flow are numerically examined. This pipe is wound around a circular or elliptic cylinder with a constant pitch so that the curvature κ and torsion Τ of the pipe axis vary periodically and slowly. If both κ and Τ are small, the motion of fluid particles is approximately governed by the superposition of Dean's flow and rigid rotation. From Poincare sections and an index of mixing efficiency, we find that there is an intermediate range of Reynolds number of flow for which the ratio of chaotic region in Poincare sections is large and mixing efficiency is high. Moreover, larger chaotic regions and higher mixing efficiency are observed for pipes wound around a circular cylinder of smaller radius, and for pipes wound around thinner elliptic cylinder.
日本流体力学会の論文
2008-09-04