{"title":"Nucleation of Spatial Wave Modes on the Surface of a Viscous Fluid Film Flowing down a Vertical Cylinder at the Appearance of New Instability Regions","authors":"O. Yu. Tsvelodub","doi":"10.1134/S1810232825020067","DOIUrl":null,"url":null,"abstract":"<p>The flow of a viscous fluid film along the outer surface of a vertical cylinder is considered. For this purpose, a model nonlinear evolution equation for the deviation of the film thickness from the unperturbed level is used. When the region of instability corresponding to a certain azimuthal wave number is narrow enough, a simplified system of equations is obtained from the original equation. It is valid for describing spatially periodic solutions at all wave numbers from the neighborhood of this region. The solutions of this system are presented for several values of the azimuthal wave number.</p>","PeriodicalId":627,"journal":{"name":"Journal of Engineering Thermophysics","volume":"34 2","pages":"292 - 304"},"PeriodicalIF":1.5000,"publicationDate":"2025-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Engineering Thermophysics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S1810232825020067","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
引用次数: 0
Abstract
The flow of a viscous fluid film along the outer surface of a vertical cylinder is considered. For this purpose, a model nonlinear evolution equation for the deviation of the film thickness from the unperturbed level is used. When the region of instability corresponding to a certain azimuthal wave number is narrow enough, a simplified system of equations is obtained from the original equation. It is valid for describing spatially periodic solutions at all wave numbers from the neighborhood of this region. The solutions of this system are presented for several values of the azimuthal wave number.
期刊介绍:
Journal of Engineering Thermophysics is an international peer reviewed journal that publishes original articles. The journal welcomes original articles on thermophysics from all countries in the English language. The journal focuses on experimental work, theory, analysis, and computational studies for better understanding of engineering and environmental aspects of thermophysics. The editorial board encourages the authors to submit papers with emphasis on new scientific aspects in experimental and visualization techniques, mathematical models of thermophysical process, energy, and environmental applications. Journal of Engineering Thermophysics covers all subject matter related to thermophysics, including heat and mass transfer, multiphase flow, conduction, radiation, combustion, thermo-gas dynamics, rarefied gas flow, environmental protection in power engineering, and many others.