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 Articles 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/. Title A name given to the resource Impact of boundary conditions on Rayleigh-Bard convection: stability, heat transfer and chaos Subject The topic of the resource Chaos; Hopf-bifurcation; Lorenz-model; Rayleigh-Bard; RungeKutta Description An account of the resource The paper compares the results of Rayleigh-Bard convection problem for rigid-rigid-isothermal, rigid-free-isothermal and free-free isothermal boundaries. A minimal Fourier-Galerkin expansion yields the generalized-Lorenz-model whose scaled version is reduced to the Stuart-Landau-model using the multiscale-method. Nusselt number is estimated for both steady and unsteady regimes. Regular, chaotic, and periodic natures of the solution are studied using the Hopf-Rayleigh-number and by means of a bifurcation diagram. The linear and weakly-nonlinear-analyses reveal that the onset of regular and chaotic motions in the case of rigid-free-isothermal boundaries happens later than that of free-free isothermal boundaries but earlier than rigid-rigid-isothermal boundaries. It is shown that the scaled-Lorenz-model possesses all the features of the classical-Lorenz-model. Beyond the value of the Hopf-Rayleigh-number, we observe chaotic-motion between two consecutive spells of periodic motion. It is found that one can also have a window of periodicity for all three boundaries. 2024 Informa UK Limited, trading as Taylor &amp; Francis Group. Creator An entity primarily responsible for making the resource Arshika N.S.; Siddheshwar P.G.; Tarannum S.; Kanchana C. Source A related resource from which the described resource is derived International Journal of Ambient Energy, Vol-45, No. 1 Publisher An entity responsible for making the resource available Taylor and Francis Ltd. Date A point or period of time associated with an event in the lifecycle of the resource 2024-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1080/01430750.2024.2304713" target="_blank" rel="noreferrer noopener">https://doi.org/10.1080/01430750.2024.2304713</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85182813601&amp;doi=10.1080%2F01430750.2024.2304713&amp;partnerID=40&amp;md5=37b911c09f46b441735878025c9045bd" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85182813601&amp;doi=10.1080%2f01430750.2024.2304713&amp;partnerID=40&amp;md5=37b911c09f46b441735878025c9045bd</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 1430750; CODEN: IJAED Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Article Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Arshika N.S., Centre for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, India; Siddheshwar P.G., Centre for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, India; Tarannum S., Department of Professional Studies, CHRIST (Deemed to be University), Bengaluru, India; Kanchana C., Instituto de Alta Investigaci, CEDENNA, Universidad de Tarapac Arica, Chile