Lagrangian theory for 3D vortex sheets with axial or helical symmetry
Lagrangian theory for 3D vortex sheets with axial or helical symmetry
复制标题
具有轴对称或螺旋对称的 3D 涡旋片的拉格朗日理论
DOI:
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发表时间:
1992
期刊:
影响因子:
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通讯作者:
Xiaofang Li
中科院分区:
文献类型:
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作者:
R. Caflisch;Xiaofang Li
Abstract Consider a three-dimensional vortex sheet in inviscid, incompressible flow which is irrotational away from the sheet. We derive an equation for the evolution of a vortex sheet in Lagrangian coordinates, i.e. an equation that is restricted to the sheet itself and is analogous to the Birkhoff-Rott equation for a two-dimensional (planar) sheet. This general equation is specialized to sheets with axial or helical symmetry, with or without swirl.