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Nonlocal Absorbing Boundary Conditions in Calculation of Internal Gravity Waves Excited by Collapse of Partially Mixed Stratified Medium 计算部分混合分层介质坍塌激发的内部重力波时的非局部吸收边界条件
IF 1 4区 工程技术 Q4 MECHANICS Pub Date : 2024-03-24 DOI: 10.1134/S001546282360308X
V. V. Bulatov

The nonlocal boundary conditions are formulated for mathematical modeling of wave dynamics of stratified media; these conditions take into account two substantial physical circumstances: the linear theory is valid at large distances from perturbation sources and there are no other sources of wave perturbations outside the mixing zone of the stratified medium. Using these boundary conditions allows correctly describing outgoing linear internal gravity waves excited by a region of partially mixed stratified medium. It is shown that with the results it is possible to determine the further dynamics of internal gravity waves far away from these perturbation sources by a given distribution of parameters of the stratified medium, assuming the validity of using the linear model of wave dynamics at large distances.

非局部边界条件是为分层介质的波动力学数学建模而制定的;这些条件考虑到了两个重要的物理情况:线性理论在距离扰动源很远的地方有效,而且在分层介质混合区之外没有其他波扰动源。利用这些边界条件可以正确描述由部分混合分层介质区域激发的外向线性内重力波。结果表明,根据给定的分层介质参数分布,可以确定远离这些扰动源的内部重力波的进一步动力学,同时假设在大距离上使用波动力学线性模型是有效的。
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引用次数: 0
Wave Dynamics of Stratified Media with Variable Shear Flows 具有可变剪切流的分层介质的波动力学
IF 1 4区 工程技术 Q4 MECHANICS Pub Date : 2024-03-24 DOI: 10.1134/S0015462823603121
V. V. Bulatov

In this work, internal gravity waves are considered that propagate in a stratified medium of finite depth with variable background shear flows. In the linear formulation, using the Fourier method, the author constructed the Green function of the corresponding equation of internal gravity waves. The asymptotic of the Green function in the far zone expressed through the square of the Airy function is studied. It is shown that, for real distributions of buoyancy frequency and shear flow vector, the wave zone is bounded by two closed curves: head and rear fronts. In the case when the components of shear velocity vector less vary over the vertical, the head wave front is a circle expanding with a maximum group velocity of the separate wave mode without flows and shifted by the flow with a velocity equal to the average value of the shear velocity vector taken with some weight.

在这项研究中,考虑了在具有可变背景剪切流的有限深度分层介质中传播的内重力波。在线性公式中,作者使用傅立叶方法构建了内重力波相应方程的格林函数。研究了通过 Airy 函数的平方表示的远区格林函数的渐近线。结果表明,对于浮力频率和剪切流矢量的实际分布,波浪区由两条封闭曲线包围:前沿和后沿。当剪切速度矢量的分量在垂直方向上变化较小时,头部波浪前沿是一个圆形,它以无流动的独立波浪模式的最大群速度扩展,并以与剪切速度矢量的平均值相等的速度被流动移动。
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引用次数: 0
Analytical Representations of Far Fields of Internal Gravity Waves from Local and Nonlocal Perturbation Sources 来自局部和非局部扰动源的内引力波远场的分析表征
IF 1 4区 工程技术 Q4 MECHANICS Pub Date : 2024-03-24 DOI: 10.1134/S0015462823603182
V. V. Bulatov

In this work, the analytical representations of far fields of internal gravity waves from local and nonlocal perturbation sources in a layer of arbitrarily stratified medium of finite depth are considered. The internal criteria of applicability of various asymptotic representations are formulated that provide a predetermined accuracy of asymptotic calculations of far wave fields. It is shown that for elongated perturbation sources, in the case when the characteristic dimensions of the source are comparable to the width of the first pulse of the wave, the corresponding convolution provides the maximum values of the elevation field of internal gravity waves in the neighborhood of the wave front and, oscillating, rapidly decays with distance from it, because the neighboring half-waves mitigate each other far from the wave front.

摘要 本研究考虑了有限深度任意分层介质层中来自局部和非局部扰动源的内部重力波远场的分析表示。提出了各种渐近表示法适用性的内部标准,为远波场的渐近计算提供了预定精度。结果表明,对于拉长的扰动源,当扰动源的特征尺寸与波的第一个脉冲宽度相当时,相应的卷积会提供波前附近内重力波仰角场的最大值,并且随着波前距离的增加而迅速衰减,因为相邻的半波会在远离波前的地方相互减弱。
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引用次数: 0
Visualization of the Flow Pattern of the Impact of a Freely Falling Drop during the Generation of Sound Packets 声包产生过程中自由下落的水滴撞击流模式可视化
IF 1 4区 工程技术 Q4 MECHANICS Pub Date : 2024-03-24 DOI: 10.1134/S0015462823602577
Yu. D. Chashechkin, V. E. Prokhorov

The merging of a falling drop with a water surface gives rise to a series of hydrodynamic phenomena that differ in time and space scales. Among them, fast unsteady flows are distinguished, in the process of which deformed underwater caverns and gas cavities separated from them are formed. When the surface of the separating gas cavity closes, the formed bubble undergoes volumetric oscillations, which, in turn, generate short acoustic packets propagating under water and in the air. Experimental data are presented in which the sequence of the formation of caverns is traced, and the processes of the formation and detachment of bubbles and accompanying acoustic signals are identified and detailed. In the composition of the sound packets recorded in the water and air environments, there are differences associated with the characteristics of propagation (transient damping at the water-air boundary) and the influence of the transmission functions of the hydrophone and microphone. In the case of detachment, reattachment, and reseparation of an air bubble from successive caverns, the frequency of the emitted signal increases. Despite the highly irregular shape of the emitting bubbles, the emission frequency remains constant, which indicates the volume of the bubble as the governing parameter of acoustic emission.

坠落的水滴与水面融合时会产生一系列时间和空间尺度不同的流体力学现象。在这些现象中,快速非稳态流动最为突出,在此过程中会形成变形的水下洞穴和与之分离的气穴。当分离的气穴表面关闭时,形成的气泡发生体积振荡,进而产生在水下和空气中传播的短声包。实验数据显示了洞穴形成的顺序,确定并详细描述了气泡的形成和分离过程以及伴随的声学信号。在水和空气环境中记录到的声包的组成存在差异,这与传播特性(水气边界的瞬态阻尼)以及水听器和传声器的传输函数的影响有关。在气泡从连续的洞穴中脱离、重新附着和重新分离的情况下,发射信号的频率会增加。尽管发射气泡的形状极不规则,但发射频率保持不变,这表明气泡的体积是声发射的主要参数。
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引用次数: 0
Diffusion-Drift Modeling of the Electrodynamic Structure of the Penning Discharge in Molecular Hydrogen 分子氢中潘宁放电的电动结构的扩散漂移模型
IF 1 4区 工程技术 Q4 MECHANICS Pub Date : 2024-03-24 DOI: 10.1134/S0015462823602796
S. T. Surzhikov

A diffusion-drift two-liquid two-temperature model of a gas-discharge plasma is used to describe the electrodynamic structure of the Penning discharge in molecular hydrogen at a pressure of the order of 1 mTorr. The effect of the discharge chamber’s geometrsic parameters, variations in the EMF of the power supply of an external electrical circuit, and the axial magnetic field induction on the discharge structure is studied by numerical simulation. The determining role of the flow of high-energy electrons formed during the azimuthal motion of plasma flows around the axis of symmetry of the discharge chamber on the ionization of neutral gas is shown. The modes of the quasi-monotonic and oscillatory averaged motion of charged particle fluxes in the axial regions are found.

摘要 采用气体放电等离子体的扩散漂移双液双温模型来描述分子氢在 1 mTorr 压力下的潘宁放电的电动力学结构。通过数值模拟研究了放电室的几何参数、外部电路电源电磁场的变化以及轴向磁场感应对放电结构的影响。等离子体流围绕放电室对称轴的方位运动过程中形成的高能电子流对中性气体电离的决定性作用得到了展示。发现了带电粒子流在轴向区域的准单调和振荡平均运动模式。
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引用次数: 0
Internal Gravity Waves Excited by Motionless Perturbation Sources 无运动扰动源激发的内重力波
IF 1 4区 工程技术 Q4 MECHANICS Pub Date : 2024-03-24 DOI: 10.1134/S0015462823603133
V. V. Bulatov

In this work the authors construct the asymptotics of solutions describing internal gravity waves excited by a motionless localized perturbation source in a layer of an arbitrarily stratified medium. The analytical expressions for an individual mode in the stratified rotating medium are obtained both far from and near the wave fronts. The estimates for the effect of rotation of the stratified medium as a whole on the main characteristics of far wave fields are presented. The qualitative pattern of propagation of far wave fields is investigated. The peculiarities of wave fields at large time and limited distances are studied. It is shown that the field of internal gravity waves at large times appears to be more localized at a depth of source immersion and relatively distributed over the vertical. The impact of various parameters of the perturbation source nonlocality on the spatial patterns of far fields of internal gravity waves is investigated.

在这项研究中,作者构建了描述任意分层介质层中由不动局部扰动源激发的内部重力波的解的渐近线。得到了分层旋转介质中远离波前和靠近波前的单个模式的解析表达式。给出了分层介质整体旋转对远波场主要特征影响的估计值。研究了远波场传播的定性模式。研究了波场在大时间和有限距离上的特殊性。结果表明,大时间内重力波场在源浸入深度处似乎更加局部,在垂直方向上相对分布。研究了扰动源非局部性的各种参数对内部重力波远场空间模式的影响。
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引用次数: 0
Features of Modeling the Wave Dynamics of Stratified Media Taking into Account Viscosity and Compressibility 考虑粘度和可压缩性的分层介质波动力学建模特点
IF 1 4区 工程技术 Q4 MECHANICS Pub Date : 2024-03-24 DOI: 10.1134/S0015462823603145
V. V. Bulatov

In this work the peculiarities of modeling the wave dynamics of stratified media are considered taking into account compressibility and viscosity. It is shown that the boundary layers may have a thickness of up to several meters under real ocean conditions, which is several percent of the half-wavelength of internal gravity waves for lower modes, and, because the several lower modes are excited in the ocean, viscosity has no significant impact on the wave dynamics of natural stratified media, ocean and atmosphere. The main features of dispersion relationships describing the wave dynamics of acoustic-gravity wave pulses in stratified media are investigated taking into account their compressibility.

在这项研究中,考虑到可压缩性和粘性,研究了分层介质波动力学建模的特殊性。研究表明,在真实的海洋条件下,边界层的厚度可达数米,相当于低频模式内部重力波半波长的百分之几,而且,由于在海洋中激发的是几种低频模式,粘度对海洋和大气等天然分层介质的波动力学没有显著影响。考虑到分层介质的可压缩性,研究了描述声重力波脉冲在分层介质中的波动力学的频散关系的主要特征。
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引用次数: 0
Analysis of the Causes of the Inverse Population of Atomic Argon Levels in Condensing Supersonic Flows of Mixtures 混合物冷凝超音速流动中原子氩含量反向分布的原因分析
IF 1 4区 工程技术 Q4 MECHANICS Pub Date : 2024-03-24 DOI: 10.1134/S0015462823602747
A. E. Zarvin, V. Zh. Madirbaev, K. A. Dubrovin, A. S. Yaskin

The features of argon radiation mixed with molecular and atomic additives in condensing supersonic jets are analyzed. Mixtures of argon (95%) with methane (5%) and argon (95%) with monosilane (5%) are used. The mixture’s particles are activated by a well-focused electron beam. The dependence of the radiation intensity of individual argon lines on the gas-dynamic parameters in the jet is studied. In a certain pressure range, different various compositions of mixtures, not only anomalously intense emission was recorded on individual spectral lines of argon (ArI) in mixtures with methane and monosilane, but also the role of clusters of a certain size and composition was revealed. At the same time, a similar effect is not detected in the spectrum of argon (ArII) ions. It is established that the cause of the anomaly is a highly efficient molecular cluster mechanism of the selective excitation of the individual levels of argon atoms, which is absent in noncondensing jets and weakens at the stage of the formation of large clusters. The main channels of energy transmission are reviewed and discussed. Based on the data obtained, an empirical model of the excitation-emission process is proposed.

摘要 分析了氩辐射与分子和原子添加剂混合在冷凝超音速射流中的特征。研究使用了氩气(95%)与甲烷(5%)和氩气(95%)与单硅烷(5%)的混合物。混合物的粒子由聚焦良好的电子束激活。研究了单个氩气线的辐射强度与射流中气体动力参数的关系。在一定的压力范围内,在不同成分的混合物中,不仅记录到与甲烷和单硅烷的混合物中氩(ArI)的个别谱线的异常强烈辐射,而且还揭示了一定大小和成分的簇的作用。同时,在氩(ArII)离子的光谱中没有检测到类似的效应。研究证实,造成这种异常现象的原因是氩原子单个水平选择性激发的高效分子簇机制,这种机制在非冷凝射流中是不存在的,并且在形成大型簇的阶段会减弱。本文回顾并讨论了能量传输的主要渠道。根据获得的数据,提出了激发-发射过程的经验模型。
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引用次数: 0
Calculation of the Sphere–Cone Heat Transfer in a High-Speed Flow with Commercial Software 用商用软件计算高速流动中的球锥传热
IF 1 4区 工程技术 Q4 MECHANICS Pub Date : 2024-03-24 DOI: 10.1134/S0015462823602735
V. K. Batygina

We present a brief overview of the most popular turbulence models and the validation results available for them. A high-speed flow around a blunted spherical cone is simulated using various commercial software programs. The problem setups in different software systems are as close to each other as possible. The numerical values of the heat flux density on the cone surface are compared with the experimental data. We demonstrate the influence of the turbulence present in the calculation on the value of the surface heat flux density.

我们简要介绍了最常用的湍流模型及其验证结果。我们使用各种商业软件程序模拟了钝化球形锥体周围的高速流动。不同软件系统中的问题设置尽可能相互接近。锥体表面热通量密度的数值与实验数据进行了比较。我们证明了计算中存在的湍流对表面热通量密度值的影响。
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引用次数: 0
Direct and Inverse Problems of the Dynamics of Surface Waves Caused by the Flow Around an Underwater Obstacle 水下障碍物周围的水流引起的表面波动力学的直接问题和逆问题
IF 1 4区 工程技术 Q4 MECHANICS Pub Date : 2024-03-24 DOI: 10.1134/S0015462823603030
D. Yu. Knyazkov, V. G. Baydulov, A. S. Savin, A. S. Shamaev

This paper presents the algorithms and results of calculations of the dynamics of a surface layer of a fluid under the action of currents that have emerged from a depth. Several approaches to model the velocity field in a horizontal flow round a fixed underwater obstacle are investigated. Formulas for calculating the velocity field on the free surface of an ideal homogeneous fluid are proposed. A computer program is developed that makes it possible to simulate the interaction of a stratified fluid flow with an underwater obstacle. The possibility of using asymptotic formulas for the far-field approximation to calculate the velocity field in a uniformly stratified fluid is studied.

本文介绍了在深层水流作用下流体表层动力学的算法和计算结果。本文研究了对绕固定水下障碍物的水平流动速度场进行建模的几种方法。提出了理想均质流体自由表面速度场的计算公式。开发了一种计算机程序,可以模拟分层流体流动与水下障碍物的相互作用。研究了使用远场近似的渐近公式计算均匀分层流体中速度场的可能性。
{"title":"Direct and Inverse Problems of the Dynamics of Surface Waves Caused by the Flow Around an Underwater Obstacle","authors":"D. Yu. Knyazkov,&nbsp;V. G. Baydulov,&nbsp;A. S. Savin,&nbsp;A. S. Shamaev","doi":"10.1134/S0015462823603030","DOIUrl":"10.1134/S0015462823603030","url":null,"abstract":"<p>This paper presents the algorithms and results of calculations of the dynamics of a surface layer of a fluid under the action of currents that have emerged from a depth. Several approaches to model the velocity field in a horizontal flow round a fixed underwater obstacle are investigated. Formulas for calculating the velocity field on the free surface of an ideal homogeneous fluid are proposed. A computer program is developed that makes it possible to simulate the interaction of a stratified fluid flow with an underwater obstacle. The possibility of using asymptotic formulas for the far-field approximation to calculate the velocity field in a uniformly stratified fluid is studied.</p>","PeriodicalId":560,"journal":{"name":"Fluid Dynamics","volume":"58 9","pages":"1725 - 1733"},"PeriodicalIF":1.0,"publicationDate":"2024-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142413451","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
期刊
Fluid Dynamics
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