{"title":"On the Interaction of Azimuthal Modes of Capillary Waves on the Surface of an Elliptic Jet in a Homogeneous Electrostatic Field","authors":"S. O. Shiryaeva, A. I. Grigor’ev","doi":"10.3103/S1068375523040130","DOIUrl":null,"url":null,"abstract":"<p>A study was made of the interaction of the first azimuthal modes of capillary waves on the surface of an elliptic jet in a homogeneous electrostatic field that is perpendicular to the axis of the jet. The interaction is nonlinear in the product of two independent small parameters. The interaction arises due to the ellipticity of the perpendicular cross-section of the jet and involves three azimuthal modes: either even or odd. The stability of the jet in the perpendicular homogeneous electrostatic field is lower than that of a jet in a radial electrostatic field. The characteristic destabilization time decreases with increasing initial amplitudes of the interacting modes and intensity of the external electrostatic field, and also depends on the wavenumber.</p>","PeriodicalId":782,"journal":{"name":"Surface Engineering and Applied Electrochemistry","volume":"59 4","pages":"443 - 451"},"PeriodicalIF":0.9000,"publicationDate":"2023-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Surface Engineering and Applied Electrochemistry","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.3103/S1068375523040130","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
A study was made of the interaction of the first azimuthal modes of capillary waves on the surface of an elliptic jet in a homogeneous electrostatic field that is perpendicular to the axis of the jet. The interaction is nonlinear in the product of two independent small parameters. The interaction arises due to the ellipticity of the perpendicular cross-section of the jet and involves three azimuthal modes: either even or odd. The stability of the jet in the perpendicular homogeneous electrostatic field is lower than that of a jet in a radial electrostatic field. The characteristic destabilization time decreases with increasing initial amplitudes of the interacting modes and intensity of the external electrostatic field, and also depends on the wavenumber.
期刊介绍：
Surface Engineering and Applied Electrochemistry is a journal that publishes original and review articles on theory and applications of electroerosion and electrochemical methods for the treatment of materials; physical and chemical methods for the preparation of macro-, micro-, and nanomaterials and their properties; electrical processes in engineering, chemistry, and methods for the processing of biological products and food; and application electromagnetic fields in biological systems.
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