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 Vijaya Kumara, V.M.; Aswatha; Vasanth Kumar, R.; Hemanth Kumar, C.B.; Mohan Kumar, G.; Thejaraju, R.; Manjunatha, C. Title A name given to the resource Power law coefficient effects on buoyant heat transfer in porous trapezoidal enclosures Date A point or period of time associated with an event in the lifecycle of the resource 01-01-2026 Source A related resource from which the described resource is derived Interactions ;Volume;247;Issue;1;Article No.;4; Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1007/s10751-025-02332-6" target="_blank" rel="noreferrer noopener">https://doi.org/10.1007/s10751-025-02332-6</a> <br /><br /><a href="https://www.scopus.com/pages/publications/105026335455?origin=resultslist" target="_blank" rel="noreferrer noopener">https://www.scopus.com/pages/publications/105026335455?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 Vijaya Kumara V.M., Bangalore Institute of Technology, Karnataka, Bangalore, 560 004, India; Aswatha, Bangalore Institute of Technology, Karnataka, Bangalore, 560 004, India; Vasanth Kumar R., Bangalore Institute of Technology, Karnataka, Bangalore, 560 004, India; Hemanth Kumar C.B., Bangalore Institute of Technology, Karnataka, Bangalore, 560 004, India; Mohan Kumar G., Bangalore Institute of Technology, Karnataka, Bangalore, 560 004, India; Thejaraju R., Christ Deemed to be University, Karnataka, Bangalore, 560 074, India; Manjunatha C., AMC Engineering College, Karnataka, Bangalore, 560 083, India Description An account of the resource The investigation of steady, incompressible, laminar mixed convective fluid flow within two different types of trapezoidal enclosures filled with saturated water and study explores how the power-law index governs buoyancy-driven heat transfer in a porous trapezoidal cavity filled with non-Newtonian fluids. Unlike Newtonian fluids, non-Newtonian fluids exhibit flow behavior that directly depends on the power-law index, which characterizes their shear-dependent viscosity. We formulate the governing equations in terms of the stream function and temperature and solve them using a validated, in-house MATLAB solver. Embedding a porous matrix within a trapezoidal enclosure creates intricate interactions between convective currents and conductive resistance. By performing numerical simulations across a range of Rayleigh numbers (Ra = 102 to 2 103) and boundary conditions, we systematically assess how variations in the power-law index alter local velocity fields, temperature distributions and overall heat-transfer rates. Our results reveal that increasing the power-law index strengthens convective flow and raises the average Nusselt number, whereas decreasing the index shifts the balance toward diffusion-dominated transport. These findings offer practical guidance for enhancing thermal management in industrial systems that employ both Newtonian and non-Newtonian fluids within porous structures. The study presents new empirical correlations linking Nu, Ra and power law co-efficients offering a practical tool for engineering design. Unlike previous works that focused primarily on Newtonian fluids or simplified geometries, this work provides a detailed analysis of non-Newtonian effects in realistic porous enclosures. These results contribute to a deeper understanding of convective mechanisms in complex therm-ofluid systems and offer guidance for optimizing thermal performance in engineering applications. The Author(s), under exclusive licence to Springer Nature Switzerland AG 2026. Subject The topic of the resource Buoyant heat transfer; Laminar flow; Porous media; Saturated water; Trapezoidal enclosure Publisher An entity responsible for making the resource available Springer Nature Relation A related resource ISSN: 30050731; 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