zbMATH — the first resource for mathematics

Flow about a circular cylinder between parallel walls. (English) Zbl 1020.76030
From the summary: The flow around a body placed inside a channel differs from its unbounded counterpart because of the effects of wall confinement, shear in the incoming velocity profile, and separation of vorticity from the channel walls. The case of a circular cylinder placed between two parallel walls is here studied numerically by a finite element method based on vorticity-streamfunction formulation for values of Reynolds number consistent with a two-dimensional assumption. The transition from steady flow to a periodic vortex shedding regime is analysed: the transition is delayed as the body approaches one wall because the interaction between the cylinder wake and the wall boundary-layer vorticity constrains the separating shear layer, reducing its oscillations. The results confirm previous observations of the inhibition of vortex shedding for a body placed near one wall.

76M10 Finite element methods applied to problems in fluid mechanics
76M20 Finite difference methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
Full Text: DOI