Thermosolutal penetrative convection under generalized boundary conditions with variable gravity and coupled stress effects

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Abstract This study develops the stability analysis of a double-diffusive convection system in a penetrating layer of internally heated fluid, where the variable gravity and coupled stress influence, in conjunction with the influences of the slip and Robin border conditions of the velocity, temperature, and salinity concentration fields. Two different changing gravity functions are tested: the decreasing function and the function that implies a change in sign in the layer’s upper and lower halves. The linear instability theory and non-linear stability theory have been investigated, and the D 2 Chebyshev tau technique has been used to compute the related eigenvalue systems for both theories depending on the border conditions. The computational and graphical outcomes demonstrate that important impacts determine both the stabilizing threshold and destabilizing threshold of double-diffusive convection when the changing gravity, coupled stress, and interior heat source impacts apply, along with the impacts of the slip and Robin border conditions of velocity field, temperature field, and concentration of salt field.
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Thermosolutal penetrative convection under generalized boundary conditions with variable gravity and coupled stress effects | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 20 February 2026 V1 Latest version Share on Thermosolutal penetrative convection under generalized boundary conditions with variable gravity and coupled stress effects Author : Najat Jalil Noon 0000-0002-4379-765X [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.177157634.46058080/v1 176 views 81 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract Abstract This study develops the stability analysis of a double-diffusive convection system in a penetrating layer of internally heated fluid, where the variable gravity and coupled stress influence, in conjunction with the influences of the slip and Robin border conditions of the velocity, temperature, and salinity concentration fields. Two different changing gravity functions are tested: the decreasing function and the function that implies a change in sign in the layer’s upper and lower halves. The linear instability theory and non-linear stability theory have been investigated, and the D 2 Chebyshev tau technique has been used to compute the related eigenvalue systems for both theories depending on the border conditions. The computational and graphical outcomes demonstrate that important impacts determine both the stabilizing threshold and destabilizing threshold of double-diffusive convection when the changing gravity, coupled stress, and interior heat source impacts apply, along with the impacts of the slip and Robin border conditions of velocity field, temperature field, and concentration of salt field. Supplementary Material File (thermosolutal penetrative convection under.pdf) Download 542.07 KB Information & Authors Information Version history V1 Version 1 20 February 2026 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords coupled stress effect generalized boundary conditions thermosolutal penetrative convection variable gravity effect Authors Affiliations Najat Jalil Noon 0000-0002-4379-765X [email protected] Republic of Iraq Ministry of Education View all articles by this author Metrics & Citations Metrics Article Usage 176 views 81 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Najat Jalil Noon. Thermosolutal penetrative convection under generalized boundary conditions with variable gravity and coupled stress effects. Authorea . 20 February 2026. DOI: https://doi.org/10.22541/au.177157634.46058080/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . Format Please select one from the list RIS (ProCite, Reference Manager) EndNote BibTex Medlars RefWorks Direct import Tips for downloading citations document.getElementById('citMgrHelpLink').addEventListener('click', function() { popupHelp(this.href); return false; }); $(".js__slcInclude").on("change", function(e){ if ($(this).val() == 'refworks') $('#direct').prop("checked", false); $('#direct').prop("disabled", ($(this).val() == 'refworks')); }); View Options View options PDF View PDF Figures Tables Media Share Share Share article link Copy Link Copied! Copying failed. 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