{"title":"Significance of Inclination and Energy Loss for a Free Convection Flow in a Chamber Filled with a Bidisperse Porous Medium","authors":"F. O. Patrulescu, T. Grosan, D. S. Cimpean","doi":"10.1007/s11242-025-02225-w","DOIUrl":null,"url":null,"abstract":"<div><p>The steady free convection and entropy generation in a differentially heated square inclined enclosure filled with a saturated bidisperse porous medium (BDPM) is analysed. The governing equations of the model, consisted by the continuity equation, Darcy equation and energy for both phases, containing interphase transfer terms, are transformed in terms of non-dimension variables. The numerical solution of both phases of flow and heat transfer is achieved through the utilisation of a modified finite difference technique. After the process of discretisation, the algebraic system is solved using the successive over relaxation method. The influence of the involved parameters on the flow and heat transfer characteristics (stream functions, isotherms, and Nusselt numbers) is observed as well as the entropy generation for monodisperse and bidisperse porous medium cases. The results are focused on the behaviour of the flow at different angles of the inclination of the cavity. A strong correlation was observed between the present findings and previously published results in the open literature, for a vertical cavity.</p></div>","PeriodicalId":804,"journal":{"name":"Transport in Porous Media","volume":"152 11","pages":""},"PeriodicalIF":2.6000,"publicationDate":"2025-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11242-025-02225-w.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transport in Porous Media","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s11242-025-02225-w","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, CHEMICAL","Score":null,"Total":0}
引用次数: 0
Abstract
The steady free convection and entropy generation in a differentially heated square inclined enclosure filled with a saturated bidisperse porous medium (BDPM) is analysed. The governing equations of the model, consisted by the continuity equation, Darcy equation and energy for both phases, containing interphase transfer terms, are transformed in terms of non-dimension variables. The numerical solution of both phases of flow and heat transfer is achieved through the utilisation of a modified finite difference technique. After the process of discretisation, the algebraic system is solved using the successive over relaxation method. The influence of the involved parameters on the flow and heat transfer characteristics (stream functions, isotherms, and Nusselt numbers) is observed as well as the entropy generation for monodisperse and bidisperse porous medium cases. The results are focused on the behaviour of the flow at different angles of the inclination of the cavity. A strong correlation was observed between the present findings and previously published results in the open literature, for a vertical cavity.
期刊介绍:
-Publishes original research on physical, chemical, and biological aspects of transport in porous media-
Papers on porous media research may originate in various areas of physics, chemistry, biology, natural or materials science, and engineering (chemical, civil, agricultural, petroleum, environmental, electrical, and mechanical engineering)-
Emphasizes theory, (numerical) modelling, laboratory work, and non-routine applications-
Publishes work of a fundamental nature, of interest to a wide readership, that provides novel insight into porous media processes-
Expanded in 2007 from 12 to 15 issues per year.
Transport in Porous Media publishes original research on physical and chemical aspects of transport phenomena in rigid and deformable porous media. These phenomena, occurring in single and multiphase flow in porous domains, can be governed by extensive quantities such as mass of a fluid phase, mass of component of a phase, momentum, or energy. Moreover, porous medium deformations can be induced by the transport phenomena, by chemical and electro-chemical activities such as swelling, or by external loading through forces and displacements. These porous media phenomena may be studied by researchers from various areas of physics, chemistry, biology, natural or materials science, and engineering (chemical, civil, agricultural, petroleum, environmental, electrical, and mechanical engineering).