Attainability of a Stationary Navier-Stokes Flow around a Rigid Body Rotating from Rest

Attainability of a Stationary Navier-Stokes Flow around a Rigid Body Rotating from Rest

We consider the large time behavior of the three-dimensional Navier-Stokes flow around a rotating rigid body. Assume that the angular velocity of the body gradually increases until it reaches a small terminal one at a certain finite time and it is fixed afterwards. We then show that the fluid motion...

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Veröffentlicht in:Funkcialaj Ekvacioj 2022/04/15, Vol.65(1), pp.111-138
1. Verfasser: Takahashi, Tomoki
Format: Artikel
Sprache:eng
Schlagworte:
Angular velocity
Attainability
Evolution operator
Fluid flow
Navier-Stokes equations
Navier-Stokes flow
Rigid structures
Rotating bodies
Rotating obstacle
Rotation
Starting problem
Steady flow
Stokes flow
Three dimensional flow
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Zusammenfassung:We consider the large time behavior of the three-dimensional Navier-Stokes flow around a rotating rigid body. Assume that the angular velocity of the body gradually increases until it reaches a small terminal one at a certain finite time and it is fixed afterwards. We then show that the fluid motion converges to a steady solution as time t → ∞.
ISSN:0532-8721
DOI:10.1619/fesi.65.111