Flow of an inviscid rotating liquid into an elevated sink

Authors
Citation
A. Shapiro, Flow of an inviscid rotating liquid into an elevated sink, Q J MECH AP, 54, 2001, pp. 243-256
Citations number
50
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mechanical Engineering
Journal title
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS
ISSN journal
0033-5614 → ACNP
Volume
54
Year of publication
2001
Part
2
Pages
243 - 256
Database
ISI
SICI code
0033-5614(200105)54:<243:FOAIRL>2.0.ZU;2-Q
Abstract
Long's solution (Q. Jl Mech. Appl. Math. 9 (1956) 385-393) for steady flow of a rotating liquid into a hydrodynamic sink at the base of a cylinder is extended to the case where the sink is elevated above the cylinder base. Th e solution satisfies the nonlinear Euler equations exactly for all sink hei ghts and for swirl ratios (inverse Rossby numbers) less than a finite criti cal value. Flow above the elevated sink is qualitatively similar to that in Long's original solution, while flow beneath the sink is comprised of a ve ry weak meridional circulation and an intense nearly-potential vortex.