A. A. Salamatin, A. S. Khaliullina, M. V. Kalinina
{"title":"Viscous Fingering in Supercritical Fluid Extraction","authors":"A. A. Salamatin, A. S. Khaliullina, M. V. Kalinina","doi":"10.1134/S0040579525600317","DOIUrl":null,"url":null,"abstract":"<p>The paper investigates the issue of viscous fingering under conditions of supercritical fluid extraction of oil from ground high-oil raw materials. The concentration profile of the filtered solution is a solution of the reaction–diffusion equation and represents a traveling wave. The width of the zone where the main concentration difference occurs is much smaller than the height of the apparatus. Using a small parameter, the boundary layer expansion in the vicinity of the concentration front is constructed and the hydrodynamic stability of the surface separating the depletion zone and the saturated zone is investigated. Within the framework of the normal mode method, a dispersion relation is obtained. Limitations on the hydrodynamic parameters under which the front remains stable to small disturbances are determined.</p>","PeriodicalId":798,"journal":{"name":"Theoretical Foundations of Chemical Engineering","volume":"58 4","pages":"1193 - 1205"},"PeriodicalIF":0.7000,"publicationDate":"2025-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical Foundations of Chemical Engineering","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0040579525600317","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, CHEMICAL","Score":null,"Total":0}
引用次数: 0
Abstract
The paper investigates the issue of viscous fingering under conditions of supercritical fluid extraction of oil from ground high-oil raw materials. The concentration profile of the filtered solution is a solution of the reaction–diffusion equation and represents a traveling wave. The width of the zone where the main concentration difference occurs is much smaller than the height of the apparatus. Using a small parameter, the boundary layer expansion in the vicinity of the concentration front is constructed and the hydrodynamic stability of the surface separating the depletion zone and the saturated zone is investigated. Within the framework of the normal mode method, a dispersion relation is obtained. Limitations on the hydrodynamic parameters under which the front remains stable to small disturbances are determined.
期刊介绍：
Theoretical Foundations of Chemical Engineering is a comprehensive journal covering all aspects of theoretical and applied research in chemical engineering, including transport phenomena; surface phenomena; processes of mixture separation; theory and methods of chemical reactor design; combined processes and multifunctional reactors; hydromechanic, thermal, diffusion, and chemical processes and apparatus, membrane processes and reactors; biotechnology; dispersed systems; nanotechnologies; process intensification; information modeling and analysis; energy- and resource-saving processes; environmentally clean processes and technologies.
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