{"title":"Double-diffusive convection in a plane layer with low thermal conductivity boundaries","authors":"Sergei Prokopev, Tatyana Lyubimova","doi":"10.1140/epje/s10189-025-00514-2","DOIUrl":null,"url":null,"abstract":"<p>This study examines double-diffusive convection in a horizontal fluid layer with low thermal conductivity boundaries, where the heat flux is fixed. Using linear stability analysis and nonlinear modeling, the behavior of the system is explored under different thermal and concentration gradients. Two instability modes are identified: monotonous and oscillatory. The monotonous mode, exhibiting longwave patterns, dominates when both gradients contribute to instability. The oscillatory mode occurs when the gradients oppose each other, with stability thresholds dependent on system parameters. Nonlinear modeling confirms the linear theory, showing longwave patterns near the instability threshold and oscillatory behavior when gradients are opposed. These findings offer insights into double-diffusive convection in systems with low thermal conductivity boundaries.</p><p>Stability map on the plane Rayleigh number–solutal Rayleigh Number</p>","PeriodicalId":790,"journal":{"name":"The European Physical Journal E","volume":"48 8-9","pages":""},"PeriodicalIF":2.2000,"publicationDate":"2025-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal E","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epje/s10189-025-00514-2","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"CHEMISTRY, PHYSICAL","Score":null,"Total":0}
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Abstract
This study examines double-diffusive convection in a horizontal fluid layer with low thermal conductivity boundaries, where the heat flux is fixed. Using linear stability analysis and nonlinear modeling, the behavior of the system is explored under different thermal and concentration gradients. Two instability modes are identified: monotonous and oscillatory. The monotonous mode, exhibiting longwave patterns, dominates when both gradients contribute to instability. The oscillatory mode occurs when the gradients oppose each other, with stability thresholds dependent on system parameters. Nonlinear modeling confirms the linear theory, showing longwave patterns near the instability threshold and oscillatory behavior when gradients are opposed. These findings offer insights into double-diffusive convection in systems with low thermal conductivity boundaries.
Stability map on the plane Rayleigh number–solutal Rayleigh Number
期刊介绍：
EPJ E publishes papers describing advances in the understanding of physical aspects of Soft, Liquid and Living Systems.
Soft matter is a generic term for a large group of condensed, often heterogeneous systems -- often also called complex fluids -- that display a large response to weak external perturbations and that possess properties governed by slow internal dynamics.
Flowing matter refers to all systems that can actually flow, from simple to multiphase liquids, from foams to granular matter.
Living matter concerns the new physics that emerges from novel insights into the properties and behaviours of living systems. Furthermore, it aims at developing new concepts and quantitative approaches for the study of biological phenomena. Approaches from soft matter physics and statistical physics play a key role in this research.
The journal includes reports of experimental, computational and theoretical studies and appeals to the broad interdisciplinary communities including physics, chemistry, biology, mathematics and materials science.
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