FLOW PAST A ROW OF FLAT PLATES AT LARGE REYNOLDS-NUMBERS

Citation
R. Natarajan et al., FLOW PAST A ROW OF FLAT PLATES AT LARGE REYNOLDS-NUMBERS, Proceedings - Royal Society. Mathematical and physical sciences, 441(1912), 1993, pp. 211-235
Citations number
21
Categorie Soggetti
Multidisciplinary Sciences",Physics
ISSN journal
09628444
Volume
441
Issue
1912
Year of publication
1993
Pages
211 - 235
Database
ISI
SICI code
0962-8444(1993)441:1912<211:FPAROF>2.0.ZU;2-C
Abstract
The steady, incompressible, high Reynolds number, viscous flow past a row of flat plates is computed by a Galerkin finite element discretiza tion of the Navier-Stokes equations in the stream function/vorticity f ormulation. A novel implementation of the inflow and outflow boundary conditions is described, which combines numerical stability with compu tational economy in the solution procedure. The calculations reported here cover the range of medium and small blockage ratios, i.e. 5 less- than-or-equal-to a less-than-or-equal-to 25 (where a is the inverse bl ockage ratio). A transition is found from narrow wake eddies for small values of a, to wide wake eddies for values of a above a(crit) almost -equal-to 15. This transition is in general agreement with the trends reported earlier by Fornberg (1991), for the related problem of flow p ast a row of circular cylinders (for which a(crit) was approximately 8 ).