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 Francis, Roxanne; Narayana, Mahesha; Siddheshwar, P.G. Title A name given to the resource Influence of magnetic field modulation on thermomagnetic convection in a layer of ferrofluid bounded by rigidfree boundaries 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 Heat and Mass Transfer;Volume;251;Issue;;Article No.;127359; Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1016/j.ijheatmasstransfer.2025.127359" target="_blank" rel="noreferrer noopener">https://doi.org/10.1016/j.ijheatmasstransfer.2025.127359</a> <br /><br /><a href="https://www.scopus.com/pages/publications/105008572561?origin=resultslist" target="_blank" rel="noreferrer noopener">https://www.scopus.com/pages/publications/105008572561?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 Francis R., Department of Mathematics, The University of the West Indies, Mona Campus, Kingston 7, Jamaica; Narayana M., Department of Mathematics, The University of the West Indies, Mona Campus, Kingston 7, Jamaica; Siddheshwar P.G., Centre for Mathematical Needs, Department of Mathematics, CHRIST University, Bengaluru, 560029, India Description An account of the resource With a focus on rigidfree boundaries, the impact of magnetic field modulation on thermomagnetic convection in ferrofluids is studied. The effects of large and small-scale modulations are examined using linear theory. Utilizing the superposition principle and several perturbation modes, small-scale modulation is investigated. The case of large-scale modulation is dealt with the aid of Mathieu equation to shed light on the prevalence of subharmonic motions. Utility of Floquet theory resulted in an infinite linear system from which the critical magnetic Rayleigh number was evaluated in the case of large-scale modulations. Weak non-linear theory is used in arriving at the non-autonomous tri-modal Lorenz system, from which bifurcation and post-convective analyses are done. It was found that magnetic field-modulation has significant, yet varying stabilizing effects on the convection process, and is uniquely determined by the conditions of the medium and magnitude of the modulation. Another important outcome of the study is that magnetic field modulation induces hyperchaos within the tri-modal autonomous system, and occurs for random combinations of modulation parameters. The emergence of chaos for rigidfree boundaries is confirmed to occur between the equivalent rigidrigid and freefree cases. 2025 Subject The topic of the resource Ferrofluid; HopfRayleigh number; Linear stability analysis; Lorenz system; RayleighBard convection; Rigidfree boundaries; Thermomagnetic convection; Weakly non-linear stability analysis Publisher An entity responsible for making the resource available Elsevier Ltd Relation A related resource ISSN: 179310; CODEN: IJHMA 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