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On viscous forces on non-circular cylinders in low KC oscillatory flows

✍ Scribed by Bernard Molin; Stéphane Etienne

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
58 KB
Volume
19
Category
Article
ISSN
0997-7546

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✦ Synopsis

This note provides a reanalysis of a result given by Bearman, Downie, Graham and Obasaju in 1985. It deals with viscous forces on fixed two-dimensional bodies in oscillatory flow, in the asymptotic case of low Keulegan-Carpenter number (KC) and high Stokes parameter (β). The flow is assumed to be laminar and attached (sharp corners are excluded). Bearman et al. show that, whatever the body shape, skin friction and pressure forces contribute equally to the viscous force, generalizing the result given earlier by Stokes in 1851 (see also Wang, 1968) for circular cylinders.

Here we show that their conclusion is ill-founded and that, presumably, it is only in the case of particular geometries that both components are equal.

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