{"title":"Propagation of a Pressure Wave in a Tube Filled with Liquid Containing of a Bubble Cluster in the Form of a Hollow Cylinder","authors":"M. N. Galimzyanov, U. O. Agisheva","doi":"10.1134/S0015462823602759","DOIUrl":null,"url":null,"abstract":"<p>The paper studies the dynamics of pressure waves in a pipe with water containing a water-air bubble cluster in the form of a hollow cylinder. A system of macroscopic equations for the laws of conservation of masses, the number of bubbles, momenta, and pressure in bubbles was used in the approximation of cylindrical symmetry. This system of equations was solved using an explicit scheme. The dependence of the maximum value of the pressure amplitude recorded in the pipe on the geometrical parameters of the cluster and pipe, as well as on the amplitude of the initial impact, was analyzed. It is shown that for the case of a bubble region in the form of a solid cylinder, the amplitude of the wave signal behind the bubble zone is several times higher than the amplitude for the case of a hollow cylindrical cluster.</p>","PeriodicalId":560,"journal":{"name":"Fluid Dynamics","volume":"58 8","pages":"1495 - 1501"},"PeriodicalIF":1.0000,"publicationDate":"2024-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fluid Dynamics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0015462823602759","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
The paper studies the dynamics of pressure waves in a pipe with water containing a water-air bubble cluster in the form of a hollow cylinder. A system of macroscopic equations for the laws of conservation of masses, the number of bubbles, momenta, and pressure in bubbles was used in the approximation of cylindrical symmetry. This system of equations was solved using an explicit scheme. The dependence of the maximum value of the pressure amplitude recorded in the pipe on the geometrical parameters of the cluster and pipe, as well as on the amplitude of the initial impact, was analyzed. It is shown that for the case of a bubble region in the form of a solid cylinder, the amplitude of the wave signal behind the bubble zone is several times higher than the amplitude for the case of a hollow cylindrical cluster.
期刊介绍：
Fluid Dynamics is an international peer reviewed journal that publishes theoretical, computational, and experimental research on aeromechanics, hydrodynamics, plasma dynamics, underground hydrodynamics, and biomechanics of continuous media. Special attention is given to new trends developing at the leading edge of science, such as theory and application of multi-phase flows, chemically reactive flows, liquid and gas flows in electromagnetic fields, new hydrodynamical methods of increasing oil output, new approaches to the description of turbulent flows, etc.
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