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 RayleighBard Convection in a Bi-viscous Bingham Fluid with Weak Vertical Harmonic Oscillations: Linear and Non-linear Analyses Subject The topic of the resource Bi-viscous Bingham fluid; GinzburgLandau method; RayleighBard convection; Vertical harmonic oscillation and Nusselt-number Description An account of the resource Linear and weakly non-linear stability analyses of RayleighBard convection in a bi-viscous Bingham fluid layer are performed in the presence of vertical harmonic vibrations. In the linear analysis, expression is obtained for the correction Rayleigh-number arising due to the vibrations. The non-linear-analysis based on the GinzburgLandau equation is used to compute the Nusselt-number in terms of the correction Rayleigh-number. The mean-Nusselt-number is then obtained as a function of the scaled-Rayleigh-number, the frequency and the amplitude of modulation, the Prandtl number, and the bi-viscous Bingham fluid parameter. The non-autonomous amplitude-equation is numerically solved using the RungeKuttaFehlberg45 method. It is found that the influence of increasing the amplitude of modulation is to result in a delayed-onset situation and thereby to an enhanced-heat-transport situation. For small and moderate frequencies, the influence of increasing the frequency of oscillations is to decrease the critical Rayleigh-number. However, the mean-Nusselt-number decreases with increase in the frequency of oscillations only in the case of small frequencies. An increase in the value of the bi-viscous Bingham fluid parameter leads to advanced-onset and thereby to an enhanced-heat-transport situation. At very large frequencies, the effect of modulation on onset and heat-transport ceases. 2023, The Author(s), under exclusive licence to Springer Nature India Private Limited. Creator An entity primarily responsible for making the resource Keerthana S.; Siddheshwar P.G.; Tarannum S.; Idris R. Source A related resource from which the described resource is derived International Journal of Applied and Computational Mathematics, Vol-9, No. 3 Publisher An entity responsible for making the resource available Springer 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/s40819-023-01495-6" target="_blank" rel="noreferrer noopener">https://doi.org/10.1007/s40819-023-01495-6</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85153776810&amp;doi=10.1007%2Fs40819-023-01495-6&amp;partnerID=40&amp;md5=fc5063e787747e9ec3668272fc4eecbd" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85153776810&amp;doi=10.1007%2fs40819-023-01495-6&amp;partnerID=40&amp;md5=fc5063e787747e9ec3668272fc4eecbd</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 23495103 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 Keerthana S., Department of Mathematics, Centre for Mathematical Needs, CHRIST (Deemed to be University), Bengaluru, 560029, India; Siddheshwar P.G., Department of Mathematics, Centre for Mathematical Needs, CHRIST (Deemed to be University), Bengaluru, 560029, India; Tarannum S., Department of Professional Studies, CHRIST (Deemed to be University), Bengaluru, 560029, India; Idris R., Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, Terengganu, Kuala Nerus, 21030, Malaysia