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 Rees, D. Andrew S.; Siddheshwar, P.G. Title A name given to the resource The Effect of Viscous Dissipation on the DarcyBard Problem: Weakly Nonlinear Analysis and Strongly Nonlinear Computations 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 Transport in Porous Media;Volume;152;Issue;12;Article No.;111; Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1007/s11242-025-02229-6" target="_blank" rel="noreferrer noopener">https://doi.org/10.1007/s11242-025-02229-6</a> <br /><br /><a href="https://www.scopus.com/pages/publications/105021232918?origin=resultslist" target="_blank" rel="noreferrer noopener">https://www.scopus.com/pages/publications/105021232918?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 Rees D.A.S., Department of Mechanical Engineering, University of Bath, Bath, BA2 7AY, United Kingdom; Siddheshwar P.G., Department of Mathematics, Centre for Mathematical Needs, Christ University, Bengaluru, 560 029, India Description An account of the resource We consider the effect of viscous dissipation on the onset and nonlinear development of two-dimensional convection in a unit enclosure heated from below. First, we show that the linear theory is unchanged from that which arises when viscous dissipation is absent. Second, a weakly nonlinear analysis shows that convection becomes weaker with increasing values of Ge~, a modified Gebhart number. In addition, the rate of heat transfer at the lower and upper sufaces differ from one another. Third, nonlinear convection is found to lose both up/down and left/right symmetry as both Ge~ and Ra (the DarcyRayleigh number) increase. It is also found that once viscous dissipation increases in strength to unphysically large amounts, then the maximum temperature migrates from the lower boundary to the interior of the enclosure. The Author(s) 2025. Subject The topic of the resource Darcy-Benard; Porous; Stability; Strongly nonlinear; Viscous dissipation; Weakly nonlinear Publisher An entity responsible for making the resource available Springer Science and Business Media B.V. Relation A related resource ISSN: 1693913; CODEN: TPMEE 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 All Open Access; Hybrid Gold Open Access Format The file format, physical medium, or dimensions of the resource online