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The turning couples on an elliptic particle settling in a vertical channel

Published online by Cambridge University Press:  26 April 2006

Peter Y. Huang ,
Jimmy Feng  and
Daniel D. Joseph
Peter Y. Huang
Affiliation:
Department of Aerospace Engineering and Mechanics, andThe Minnesota Supercomputer Institute, University of Minnesota, Minneapolis, MN 55455, USA
Jimmy Feng
Affiliation:
Department of Aerospace Engineering and Mechanics, andThe Minnesota Supercomputer Institute, University of Minnesota, Minneapolis, MN 55455, USA
Daniel D. Joseph
Affiliation:
Department of Aerospace Engineering and Mechanics, andThe Minnesota Supercomputer Institute, University of Minnesota, Minneapolis, MN 55455, USA
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Abstract

We do a direct two-dimensional finite-elment simulation of the Navier–Stokes equations and compute the forces which turn an ellipse settling in a vertical channel of viscous fluid in a regime in which the ellipse oscillates under the action of vortex shedding. Turning this way and that is induced by large and unequal values of negative pressure at the rear separation points which are here identified with the two points on the back face where the shear stress vanishes. The main restoring mechanism which turns the broadside of the ellipse perpendicular to the fall is the high pressure at the ‘stagnation point’ on the front face, as in potential flow, which is here identified with the one point on the front face where the shear stress vanishes.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 271 , 25 July 1994 , pp. 1 - 16
Copyright
© 1994 Cambridge University Press

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References

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