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 61000171 Title A name given to the resource Instabilities in ferrofluids with temperature and magnetic field dependent viscosity under different modulations Subject The topic of the resource Mathematics and Statistics Description An account of the resource There has been a vigorous effort by researchers to study and characterize Rayleigh Be and#769;nard convection in ferrofluids owing to their interesting applications. From the survey of the literature pertinent to the problems under consideration in our study we realize the importance of using variable viscosity and thus explore the dynamics of a ferrofluid with temperature and magnetic field dependent viscosity which is in a Rayleigh- Be and#769;nard situation. The system under consideration is subjected to external constarints viz., an imposed time-periodic body force, rotation speed modulation, temperature modulation and magnetic field modulation. The problem considers both sinusoidal and non-sinusoidal time-periodic variations of these modulations to study the onset and post-onset regimes of Rayleigh-Be and#769;nard ferroconvection. We perform a weakly non-linear stability analysis using a truncated Fourier series representation and arrive at the Lorenz system for ferrofluid convection with variable viscosity. By using the linearized form of the Lorenz system we arrive at the critical Rayleigh There has been a vigorous effort by researchers to study and characterize Rayleigh Be and#769;nard convection in ferrofluids owing to their interesting applications. From the survey of the literature pertinent to the problems under consideration in our study we realize the importance of using variable viscosity and thus explore the dynamics of a ferrofluid with temperature and magnetic field dependent viscosity which is in a Rayleigh- Be and#769;nard situation. The system under consideration is subjected to external constarints viz., an imposed time-periodic body force, rotation speed modulation, temperature modulation and magnetic field modulation. The problem considers both sinusoidal and non-sinusoidal time-periodic variations of these modulations to study the onset and post-onset regimes of Rayleigh-Be and#769;nard ferroconvection. Creator An entity primarily responsible for making the resource Aanam, A Neha. 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 2021-01-01 Contributor An entity responsible for making contributions to the resource Nagouda, Smita S. 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/10603/357742" target="_blank" rel="noreferrer noopener">http://hdl.handle.net/10603/357742</a>