Abstract
Fluid flows around an obstacle generate vortices which, in turn, generate lift forces on the obstacle. Therefore, even in a perfectly symmetric framework equilibrium positions may be asymmetric. We show that this is not the case for a Poiseuille flow in an unbounded 2D channel, at least for small Reynolds number and flow rate. We consider both the cases of vertically moving obstacles and obstacles rotating around a fixed pin.
Highlights
Introduction and main resultWe consider two different fluid-structure problems for a Poiseuille flow through an unbounded 2D channel containing an obstacle
The body B is immersed in the same channel R×(−L, L) but is only free to rotate around a pin located at its center of mass, see Figure 2
We assume that the body B is free to rotate around a pin located at its center of mass: this means that there is no obstruction for B to reach a vertical position, which translates into the constraint that L2 > 1+d 2; see again Figure 2
Summary
Galdi and Filippo Gazzola Equilibrium configuration of a rectangular obstacle immersed in a channel flow. Mathématique sont membres du Centre Mersenne pour l’édition scientifique ouverte www.centre-mersenne.org
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