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 Gravity-modulated RayleighBard convection in a Newtonian liquid bounded by rigidfree boundaries: a comparative study with other boundary conditions Subject The topic of the resource Gravity modulation; Heat transport; RayleighBard convection; Rigidfree; StuartLaundau equation Description An account of the resource Effect of different boundaries on the gravity-modulated RayleighBard convection has been investigated with an emphasis on rigidfree boundaries. Small-amplitude and large-amplitude modulations are studied using the linear stability analysis. The modified Venezian approach is used to study small-amplitude modulations using different modes of perturbations and the superposition principle. The existence of subharmonic motions for the case of large-amplitude modulations was explored using the Mathieu equation arising from the linear stability analysis. Floquet theory was used together with Hills infinite determinant method to compute the critical Rayleigh number for the case of large-amplitude modulations. Weakly non-linear analysis is performed leading to the cubic StuartLandau equation from the Lorenz system. Heat transport was quantified using the Nusselt number and the mean Nusselt numbers for different amplitudes and frequencies. It was found that gravity modulation has, in general, a stabilizing effect on the convection process in all three boundary types, and the heat transport was found to be an increasing function of amplitude. Another important outcome of the study is that the critical Rayleigh number for the onset of convection for rigidfree boundaries lies between those of the corresponding values of the freefree and rigidrigid boundaries in the case of both harmonic and subharmonic motions which could be exploited in controlling convection. 2023, The Author(s), under exclusive licence to Springer Nature B.V. Creator An entity primarily responsible for making the resource Francis R.; Narayana M.; Siddheshwar P.G. Source A related resource from which the described resource is derived Journal of Engineering Mathematics, Vol-139, No. 1 Publisher An entity responsible for making the resource available Springer Science and Business Media B.V. Date A point or period of time associated with an event in the lifecycle of the resource 2023-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1007/s10665-023-10260-z" target="_blank" rel="noreferrer noopener">https://doi.org/10.1007/s10665-023-10260-z</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85153192727&amp;doi=10.1007%2Fs10665-023-10260-z&amp;partnerID=40&amp;md5=3f6682ab27050f7bed686a4393342bd3" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85153192727&amp;doi=10.1007%2fs10665-023-10260-z&amp;partnerID=40&amp;md5=3f6682ab27050f7bed686a4393342bd3</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 220833 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 Francis R., Department of Mathematics, The University of the West Indies, Mona Campus, Kingston 7, St. Andrew, State, Kingston, Jamaica; Narayana M., Department of Mathematics, The University of the West Indies, Mona Campus, Kingston 7, St. Andrew, State, Kingston, Jamaica; Siddheshwar P.G., Centre for Mathematical Needs, Department of Mathematics, CHRIST(Deemed to be University), Hosur Road, Karnataka, Bengaluru, 560029, India