{"title":"布林克曼-达西-开尔文-伏依格特流体中的热固性对流的不稳定性","authors":"Zaid Abbas Afluk, Akil Harfash","doi":"10.1615/jpormedia.2024050970","DOIUrl":null,"url":null,"abstract":"In this article, we investigate the problem of thermosolutal convection occurring in a Brinkman-Darcy-Kelvin-Voigt fluid. This phenomenon takes place when a layer is heated from beneath while also being exposed to salt either from the upper or lower side. Both linear instability and conditional nonlinear stability analyses are applied in this study. The linear and nonlinear systems have been solved using Chebyshev collocation technique and the QZ algorithm. The computation of instability boundaries is undertaken for the occurrence of thermosolutal convection in a fluid containing dissolved salt, where the fluid is of a complex viscoelastic nature resembling the Navier-Stokes-Voigt type. Notably, the Kelvin-Voigt parameter emerges as a critical factor in maintaining stability, particularly for oscillatory convection. In instances where the layer is heated from below and salted from above, the thresholds of stability align with those of instability, substantiating the appropriateness of the linear theory in predicting the thresholds for convection initiation. Conversely, when the layer is subjected to salting from the bottom while being heated, the thresholds of stability remain constant even with variations in the salt Rayleigh number. This leads to a significant disparity between the thresholds of linear instability and those of nonlinear stability.","PeriodicalId":50082,"journal":{"name":"Journal of Porous Media","volume":null,"pages":null},"PeriodicalIF":2.5000,"publicationDate":"2024-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Instability of thermosolutal convection in a Brinkman-Darcy-Kelvin-Voigt fluid\",\"authors\":\"Zaid Abbas Afluk, Akil Harfash\",\"doi\":\"10.1615/jpormedia.2024050970\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we investigate the problem of thermosolutal convection occurring in a Brinkman-Darcy-Kelvin-Voigt fluid. This phenomenon takes place when a layer is heated from beneath while also being exposed to salt either from the upper or lower side. Both linear instability and conditional nonlinear stability analyses are applied in this study. The linear and nonlinear systems have been solved using Chebyshev collocation technique and the QZ algorithm. The computation of instability boundaries is undertaken for the occurrence of thermosolutal convection in a fluid containing dissolved salt, where the fluid is of a complex viscoelastic nature resembling the Navier-Stokes-Voigt type. Notably, the Kelvin-Voigt parameter emerges as a critical factor in maintaining stability, particularly for oscillatory convection. In instances where the layer is heated from below and salted from above, the thresholds of stability align with those of instability, substantiating the appropriateness of the linear theory in predicting the thresholds for convection initiation. Conversely, when the layer is subjected to salting from the bottom while being heated, the thresholds of stability remain constant even with variations in the salt Rayleigh number. This leads to a significant disparity between the thresholds of linear instability and those of nonlinear stability.\",\"PeriodicalId\":50082,\"journal\":{\"name\":\"Journal of Porous Media\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2024-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Porous Media\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1615/jpormedia.2024050970\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, MECHANICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Porous Media","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1615/jpormedia.2024050970","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
Instability of thermosolutal convection in a Brinkman-Darcy-Kelvin-Voigt fluid
In this article, we investigate the problem of thermosolutal convection occurring in a Brinkman-Darcy-Kelvin-Voigt fluid. This phenomenon takes place when a layer is heated from beneath while also being exposed to salt either from the upper or lower side. Both linear instability and conditional nonlinear stability analyses are applied in this study. The linear and nonlinear systems have been solved using Chebyshev collocation technique and the QZ algorithm. The computation of instability boundaries is undertaken for the occurrence of thermosolutal convection in a fluid containing dissolved salt, where the fluid is of a complex viscoelastic nature resembling the Navier-Stokes-Voigt type. Notably, the Kelvin-Voigt parameter emerges as a critical factor in maintaining stability, particularly for oscillatory convection. In instances where the layer is heated from below and salted from above, the thresholds of stability align with those of instability, substantiating the appropriateness of the linear theory in predicting the thresholds for convection initiation. Conversely, when the layer is subjected to salting from the bottom while being heated, the thresholds of stability remain constant even with variations in the salt Rayleigh number. This leads to a significant disparity between the thresholds of linear instability and those of nonlinear stability.
期刊介绍:
The Journal of Porous Media publishes original full-length research articles (and technical notes) in a wide variety of areas related to porous media studies, such as mathematical modeling, numerical and experimental techniques, industrial and environmental heat and mass transfer, conduction, convection, radiation, particle transport and capillary effects, reactive flows, deformable porous media, biomedical applications, and mechanics of the porous substrate. Emphasis will be given to manuscripts that present novel findings pertinent to these areas. The journal will also consider publication of state-of-the-art reviews. Manuscripts applying known methods to previously solved problems or providing results in the absence of scientific motivation or application will not be accepted. Submitted articles should contribute to the understanding of specific scientific problems or to solution techniques that are useful in applications. Papers that link theory with computational practice to provide insight into the processes are welcome.