{"title":"Step Waves in Falling Liquid Films","authors":"V. Ya. Shkadov, A. N. Beloglazkin, I. V. Shishkin","doi":"10.3103/S0027133026700020","DOIUrl":null,"url":null,"abstract":"<p>The axisymmetric flow of a thin layer of viscous liquid down the outer surface of a vertical cylinder in the field of gravity is considered. The process is modeled using the Kapitsa–Shkadov approach. Wave modes with step waves characterized by the presence of a film thickness drop are investigated. It is found that the existence regions of step wave solutions are strips.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"81 1","pages":"9 - 15"},"PeriodicalIF":0.5000,"publicationDate":"2026-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Moscow University Mechanics Bulletin","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.3103/S0027133026700020","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
The axisymmetric flow of a thin layer of viscous liquid down the outer surface of a vertical cylinder in the field of gravity is considered. The process is modeled using the Kapitsa–Shkadov approach. Wave modes with step waves characterized by the presence of a film thickness drop are investigated. It is found that the existence regions of step wave solutions are strips.
期刊介绍:
Moscow University Mechanics Bulletin is the journal of scientific publications, reflecting the most important areas of mechanics at Lomonosov Moscow State University. The journal is dedicated to research in theoretical mechanics, applied mechanics and motion control, hydrodynamics, aeromechanics, gas and wave dynamics, theory of elasticity, theory of elasticity and mechanics of composites.