{"title":"有限厚柔性壁平面通道内流动的不稳定性","authors":"A. V. Boiko, E. S. Golub, A. P. Chupakhin","doi":"10.1134/S0015462824605631","DOIUrl":null,"url":null,"abstract":"<p>The model of the stability of viscous incompressible flow in a channel with thick compliant walls is developed and studied under the assumption of small disturbances. The eigenvalue problem thus obtained is solved numerically using the collocation method. The computations are carried out for several viscoelastic materials. Some new results concerning the effect of the wall thickness and the characteristic flow velocity on the flow stability are obtained. The effect of viscoelastic properties of the channel wall material on the suppression of the Tollmien–Schlichting instability is estimated.</p>","PeriodicalId":560,"journal":{"name":"Fluid Dynamics","volume":"60 2","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2025-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1134/S0015462824605631.pdf","citationCount":"0","resultStr":"{\"title\":\"Instability of the Flow in a Plane Channel with Compliant Walls of Finite Thickness\",\"authors\":\"A. V. Boiko, E. S. Golub, A. P. Chupakhin\",\"doi\":\"10.1134/S0015462824605631\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The model of the stability of viscous incompressible flow in a channel with thick compliant walls is developed and studied under the assumption of small disturbances. The eigenvalue problem thus obtained is solved numerically using the collocation method. The computations are carried out for several viscoelastic materials. Some new results concerning the effect of the wall thickness and the characteristic flow velocity on the flow stability are obtained. The effect of viscoelastic properties of the channel wall material on the suppression of the Tollmien–Schlichting instability is estimated.</p>\",\"PeriodicalId\":560,\"journal\":{\"name\":\"Fluid Dynamics\",\"volume\":\"60 2\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2025-07-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1134/S0015462824605631.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fluid Dynamics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0015462824605631\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fluid Dynamics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0015462824605631","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
Instability of the Flow in a Plane Channel with Compliant Walls of Finite Thickness
The model of the stability of viscous incompressible flow in a channel with thick compliant walls is developed and studied under the assumption of small disturbances. The eigenvalue problem thus obtained is solved numerically using the collocation method. The computations are carried out for several viscoelastic materials. Some new results concerning the effect of the wall thickness and the characteristic flow velocity on the flow stability are obtained. The effect of viscoelastic properties of the channel wall material on the suppression of the Tollmien–Schlichting instability is estimated.
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.