Vorticity generation and conservation for two-dimensional interfaces and boundaries

被引：45

作者：

Brons, M. ^{[1
]}

Thompson, M. C. ^{[2
]}

Leweke, T. ^{[3
]}

Hourigan, K. ^{[2
,4
]}

机构：

[1] Tech Univ Denmark, Dept Appl Math & Comp Sci, DK-2800 Lyngby, Denmark

[2] Monash Univ, Dept Mech & Aerosp Engn, FLAIR, Melbourne, Vic 3800, Australia

[3] Aix Marseille Univ, IRPHE, CNRS, Cent Marseille, F-13384 Marseille, France

[4] Monash Univ, Div Biol Engn, Melbourne, Vic 3800, Australia

来源：

JOURNAL OF FLUID MECHANICS | 2014年 / 758卷

基金：

澳大利亚研究理事会;

关键词：

general fluid mechanics; vortex flows; vortex interactions; VORTEX DYNAMICS; FREE-SURFACE; SPHERE;

D O I：

10.1017/jfm.2014.520

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The generation, redistribution and, importantly, conservation of vorticity and circulation is studied for incompressible Newtonian fluids in planar and axisymmetric geometries. A generalised formulation of the vorticity at the interface between two fluids for both no-slip and stress-free conditions is presented. Illustrative examples are provided for planar Couette flow, Poiseuille flow, the spin-up of a circular cylinder, and a cylinder below a free surface. For the last example, it is shown that, although large imbalances between positive and negative vorticity appear in the wake, the balance is found in the vortex sheet representing the stress-free surface.

引用

页码：63 / 93

页数：31

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