On stationary two-dimensional flows around a fast rotating disk
Isabelle Gallagher (DMA), Mitsuo Higaki, Yasunori Maekawa
TL;DR
This paper investigates the behavior of stationary two-dimensional flows around a fast rotating disk, establishing existence of solutions and analyzing the effects of high rotation speeds on flow structure.
Contribution
It proves the existence of unique solutions for any rotation speed and characterizes the boundary layer and axisymmetrization effects at high rotation speeds.
Findings
Existence of unique solutions for all rotation speeds
Boundary layer structure identified at high rotation
Flow becomes more axisymmetric with increased rotation
Abstract
We study the two-dimensional stationary Navier-Stokes equations describing flows around a rotating disk. The existence of unique solutions is established for any rotating speed, and qualitative effects of a large rotation are described precisely by exhibiting a boundary layer structure and an axisymmetrization of the flow.
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Taxonomy
TopicsFluid Dynamics and Turbulent Flows · Fluid Dynamics and Vibration Analysis · Fluid dynamics and aerodynamics studies