{"title":"Parametric Excitation of Marangoni Oscillations in a Two-layer Film by Heating Modulation","authors":"Grigoriy Khilko, Alexander Nepomnyashchy","doi":"10.1007/s12217-025-10216-1","DOIUrl":null,"url":null,"abstract":"<div><p>The behavior of a system composed of two superposed thin liquid films on a solid substrate under modulated heating is investigated theoretically. The linear stability of the examined system is studied by applying a longwave lubrication approximation, and the resulting equations are analyzed. The system’s stability maps were plotted based on different parameter sets. The numerical analysis reveals oscillatory and monotonic modes of instability existing in the absence of heat modulation, as well as subharmonic and higher resonant modes. Such parametric instability modes can often become the most unstable for moderate modulation. At the same time, for modes that exist without heat modulation, in particular, monotonic ones, the intense heat modulation is shown to have a stabilizing role in many cases.</p></div>","PeriodicalId":707,"journal":{"name":"Microgravity Science and Technology","volume":"37 6","pages":""},"PeriodicalIF":1.5000,"publicationDate":"2025-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Microgravity Science and Technology","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s12217-025-10216-1","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, AEROSPACE","Score":null,"Total":0}
引用次数: 0
Abstract
The behavior of a system composed of two superposed thin liquid films on a solid substrate under modulated heating is investigated theoretically. The linear stability of the examined system is studied by applying a longwave lubrication approximation, and the resulting equations are analyzed. The system’s stability maps were plotted based on different parameter sets. The numerical analysis reveals oscillatory and monotonic modes of instability existing in the absence of heat modulation, as well as subharmonic and higher resonant modes. Such parametric instability modes can often become the most unstable for moderate modulation. At the same time, for modes that exist without heat modulation, in particular, monotonic ones, the intense heat modulation is shown to have a stabilizing role in many cases.
期刊介绍：
Microgravity Science and Technology – An International Journal for Microgravity and Space Exploration Related Research is a is a peer-reviewed scientific journal concerned with all topics, experimental as well as theoretical, related to research carried out under conditions of altered gravity.
Microgravity Science and Technology publishes papers dealing with studies performed on and prepared for platforms that provide real microgravity conditions (such as drop towers, parabolic flights, sounding rockets, reentry capsules and orbiting platforms), and on ground-based facilities aiming to simulate microgravity conditions on earth (such as levitrons, clinostats, random positioning machines, bed rest facilities, and micro-scale or neutral buoyancy facilities) or providing artificial gravity conditions (such as centrifuges).
Data from preparatory tests, hardware and instrumentation developments, lessons learnt as well as theoretical gravity-related considerations are welcome. Included science disciplines with gravity-related topics are:
− materials science
− fluid mechanics
− process engineering
− physics
− chemistry
− heat and mass transfer
− gravitational biology
− radiation biology
− exobiology and astrobiology
− human physiology
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