Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Faculty Publications Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Creator An entity primarily responsible for making the resource Sam, Neha Elizabeth; Nagouda, Smita S.; Siddheshwar, P.G. Title A name given to the resource DarcyForchheimerBrinkman flow of a Newtonian fluid through an enclosure with two straight boundaries and one curved boundary Date A point or period of time associated with an event in the lifecycle of the resource 01-01-2025 Source A related resource from which the described resource is derived International Journal of Applied and Computational Mathematics;Volume;11;Issue;5;Article No.;195; Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1007/s40819-025-02022-5" target="_blank" rel="noreferrer noopener">https://doi.org/10.1007/s40819-025-02022-5</a> <br /><br /><a href="https://www.scopus.com/pages/publications/105014943794?origin=resultslist" target="_blank" rel="noreferrer noopener">https://www.scopus.com/pages/publications/105014943794?origin=resultslist</a> Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Sam N.E., Department of Mathematics, Center for Mathematical Needs, CHRIST University, Karnataka, Bangalore, 560029, India; Nagouda S.S., Department of Mathematics, Center for Mathematical Needs, CHRIST University, Karnataka, Bangalore, 560029, India; Siddheshwar P.G., Department of Mathematics, Center for Mathematical Needs, CHRIST University, Karnataka, Bangalore, 560029, India Description An account of the resource The study examines the flow and heat transfer of a Newtonian fluid in a porous medium inside an enclosure with two straight boundaries and one curved boundary. This setup is important for heat storage and energy systems. The aim of this study is to solve the Brinkman-Forchheimer (BF) equation in an enclosure with two straight and one curved boundary. The research also looks to perform a thorough heat transfer analysis to improve the understanding of thermal behaviour in porous medium BF flow. Additionally, the study calculates the Nusselt number using a compatibility condition to ensure the results are physically consistent. Finally, it fits the Nusselt number as a function of the shape factor (s) and the Forchheimer number (F). This helps in capturing the trends in convective heat transfer behaviour within the medium.The main assumptions include a steady, fully developed flow in the z-direction with a constant axial pressure gradient -, and zero axial velocity (w = 0) on all boundaries. The domain in three-dimensions is defined in cartesian coordinates (x,y,z), with on the curved boundary,ensuring the spatial constraint of the geometry. The quasi-linearisation method is used to linearise the governing equations, resulting in a system of linear algebraic equations that is subsequently solved using the alternate direction implicit (ADI) method with an accuracy of. The findings show that an increase in the shape factor (s) results in a plug flow behaviour and better heat retention, as in higher temperature profiles and centreline velocities. In contrast, higher Forchheimer numbers causes a drop in both velocity and temperature due to increased flow resistance. But as F goes up, the Nusselt number always increases, meaning heat is better transferred through convection. The study also shows that hot spots and heat islands form inside the enclosure, especially when the shape factor is higher, because the heat builds up more quickly when there is less resistance, which is an essential thing to think about for things like heat storage systems, where it is crucial to have better thermal efficiency. The Author(s), under exclusive licence to Springer Nature India Private Limited 2025. Subject The topic of the resource ADI scheme; BrinkmanForchheimer(BF) flow; Finite difference method (FDM); Linear and curved boundary; Quasi-linearization Publisher An entity responsible for making the resource available Springer Relation A related resource ISSN: 23495103; Language A language of the resource English Type The nature or genre of the resource Article Rights Information about rights held in and over the resource Restricted Access; Hardcopy may be available in the library Format The file format, physical medium, or dimensions of the resource online