Inertial Wave Attractors in Librating Cylinders: Axisymmetric versus Nonaxisymmetric Ends

IF 1.3 4区工程技术 Q2 ENGINEERING, AEROSPACE

Microgravity Science and Technology Pub Date : 2025-02-12 DOI:10.1007/s12217-025-10164-w

Stanislav Subbotin, Mariya Shiryaeva

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Abstract

Inertial waves in a rotating confined fluid can focus on closed trajectories, known as wave attractors. These regimes are not eigenmodes and are related only to the frequency dependence of the wave vector. This paper presents an experimental investigation of the cylindrical cavity shape’s effect on the attractor’s spatial structure. We considered three different configurations: i) a circular cylinder with both conical axisymmetric ends; ii) a cylinder with one straight end and the other end inclined to the plane of the cross-section; iii) both ends of the cylinder are inclined parallel. The major observed difference is the azimuthal flow structure. In the axisymmetric case, the shape of the wave attractor is independent of the azimuthal coordinate, and the instantaneous vorticity field represents a system of nested rings in the cross-section. If one of the cavity ends has a constant slope, wave focusing appears in the meridional plane passing near the direction specified by the geometry. The three-dimensional law of wave reflection from inclined boundaries causes meridional trapping, which is important in real geo- and astrophysical systems with complex boundary topography.

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振动圆柱体中的惯性波吸引子：轴对称端与非轴对称端

旋转受限流体中的惯性波可以聚焦于闭合轨迹，称为波吸引子。这些状态不是本征模态，只与波矢量的频率依赖性有关。本文对圆柱腔形状对吸引子空间结构的影响进行了实验研究。我们考虑了三种不同的结构：i)一个具有两个圆锥轴对称末端的圆柱体；Ii)一端直，另一端斜于所述横截面平面的圆柱体；Iii)筒体两端倾斜平行。观测到的主要差异是方位流动结构。在轴对称情况下，波吸引子的形状与方位角坐标无关，瞬时涡度场在截面上表示一个嵌套环系统。如果其中一个空腔的一端具有恒定的斜率，则在经过几何形状指定方向附近的子午平面上出现波聚焦。在具有复杂边界地形的实际地天体物理系统中，波浪从倾斜边界反射的三维规律引起的经向圈闭具有重要意义。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Microgravity Science and Technology 工程技术-工程：宇航

CiteScore

3.50

自引率

44.40%

发文量

期刊介绍： Microgravity Science and Technology – An International Journal for Microgravity and Space Exploration Related Research is a is a peer-reviewed scientific journal concerned with all topics, experimental as well as theoretical, related to research carried out under conditions of altered gravity. Microgravity Science and Technology publishes papers dealing with studies performed on and prepared for platforms that provide real microgravity conditions (such as drop towers, parabolic flights, sounding rockets, reentry capsules and orbiting platforms), and on ground-based facilities aiming to simulate microgravity conditions on earth (such as levitrons, clinostats, random positioning machines, bed rest facilities, and micro-scale or neutral buoyancy facilities) or providing artificial gravity conditions (such as centrifuges). Data from preparatory tests, hardware and instrumentation developments, lessons learnt as well as theoretical gravity-related considerations are welcome. Included science disciplines with gravity-related topics are: − materials science − fluid mechanics − process engineering − physics − chemistry − heat and mass transfer − gravitational biology − radiation biology − exobiology and astrobiology − human physiology