Study on the relation between the multipleness of the solutions of the Navier-Stokes equations and the phenomena in turbulence transition

点击翻译按钮获取中文摘要

The multiplicity of the Navier-Stokes equations is exhibited by presenting new solutions or flows, especially for (1) plane Couette flow, (2) rotating plane Poiseuille flow, (3) flow through a duct with square cross-section (4) stratified rotating flow between two concentric cylinders, (5) shear flow with natural convection and (6) shear flow with internal heat source, numerically and experimentally, where the relation between the multiplicity and the behaviour of the fluid flows in the transition to turbulence from laminar states is examined.