Slow inviscid flows of a compressible fluid in spatially inhomogeneous systems.
Slow inviscid flows of a compressible fluid in spatially inhomogeneous systems.
复制标题
可压缩流体在空间不均匀系统中的缓慢无粘流。
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
V. Ruban
中科院分区：
文献类型：
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作者：
V. Ruban
考虑一种理想可压缩流体，由于存在一些静态外力，平衡密度是给定的坐标函数。利用哈密顿形式研究了不扰动密度的慢流问题。对于任意给定的涡度场拓扑，导出了系统的运动方程。建立了冻结涡线拉格朗日量的一般形式。本文研究了几种非均匀物理模型中细长涡丝运动的局域诱导近似。
An ideal compressible fluid is considered, with an equilibrium density being a given function of coordinates due to presence of some static external forces. The slow flows in such system, which do not disturb the density, are investigated with the help of the Hamiltonian formalism. The equations of motion of the system are derived for an arbitrary given topology of the vorticity field. The general form of the Lagrangian for frozen-in vortex lines is established. The local induction approximation for motion of slender vortex filaments in several inhomogeneous physical models is studied.