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 PHD PhD PhD Thesis 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/. Relation A related resource 61000335 Title A name given to the resource A Theoretical Study of Rayleigh-Benard Convection Problem with Realistic and Artificial Boundary Conditions Subject The topic of the resource Mathematics and Statistics Description An account of the resource In this thesis we present linear and weakly non-linear study of Rayleigh Bard newlineconvection subject to general boundary condition, which includes both physically newlinerealistic and artifcial boundaries. A horizontal confguration is adopted, wherein newlinethe horizontal surfaces are attached to porous blocks, which allows for the inclusion newlineof rough boundaries modelled by the Robin boundary condition on velocity. The Robin boundary condition is utilised to model boundary condition on temperature as well. Adding nanoparticles to a base and#64258;uid results in an increased thermal conductivity of the base and#64258;uid. The objective of this research is to present a conducive understanding of the eand#64256;ect of nanoparticles and its enhanced thermophysical properties eand#64256;ects on the onset of convection. Eand#64256;ects of Rough Boundaries on Rayleigh-Bard Convection in Nanoand#64258;uids A linear and weakly non-linear stability analysis of Rayleigh-Bard convection in a Newtonian nanoand#64258;uid between two rough boundaries is carried out. A newlinesingle-phase description of nanoand#64258;uids is adopted in the study. Water-alumina and newlinewater-copper are nanoand#64258;uids in consideration for the study. The values of thermophysical quantities of nanoand#64258;uids are obtained using either the mixture theory or phenomenological laws. The boundary eigenvalue problem arising in the study is solved using the Maclaurin series. Also, a single-term Galerkin technique is adopted to obtain the guess value of the Rayleigh number and the wave number. Further, improved values of the Rayleigh number and the wave number are obtained using the Newton-Raphson method. The minimal Fourier series representation is used to arrive at the generalised Lorenz model. A detailed discussion is made on the eand#64256;ect newlineof rough boundaries on the onset of convection in nanoand#64258;uids. The study aims to newlinepresent a theoretical comparison between the results of the two nanoand#64258;uids considered and the destabilizing eand#64256;ect showcased by each of the nanoparticles on the onset of convection. Creator An entity primarily responsible for making the resource Heena, Firdose Source A related resource from which the described resource is derived Author's Submission Publisher An entity responsible for making the resource available Christ(Deemed to be University) Date A point or period of time associated with an event in the lifecycle of the resource 2024-01-01 Contributor An entity responsible for making contributions to the resource Siddheshwar, Pradeep G Rights Information about rights held in and over the resource Open Access Format The file format, physical medium, or dimensions of the resource PDF Language A language of the resource English Type The nature or genre of the resource PhD Identifier An unambiguous reference to the resource within a given context <a href="http://hdl.handle.net/10603/574686" target="_blank" rel="noreferrer noopener">http://hdl.handle.net/10603/574686</a>