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 Faculty Publications 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/. Creator An entity primarily responsible for making the resource Jayalatha, G.; Prakash, R.; Siddheshwar, P.G.; Sekhar, G.N. Title A name given to the resource Nonlinear stability and dynamics of RayleighBard convection in variable viscosity ferromagnetic liquids Date A point or period of time associated with an event in the lifecycle of the resource 01-01-2026 Source A related resource from which the described resource is derived European Physical Journal Plus;Volume;141;Issue;3;Article No.;289; Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1140/epjp/s13360-026-07514-x" target="_blank" rel="noreferrer noopener">https://doi.org/10.1140/epjp/s13360-026-07514-x</a> <br /><br /><a href="https://www.scopus.com/pages/publications/105034351547?origin=resultslist" target="_blank" rel="noreferrer noopener">https://www.scopus.com/pages/publications/105034351547?origin=resultslist</a> Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Jayalatha G., Department of Mathematics, RV College of Engineering, Karnataka, Bengaluru, 560059, India; Prakash R., Department of Mathematics, RV College of Engineering, Karnataka, Bengaluru, 560059, India; Siddheshwar P.G., Centre for Mathematical Needs, Christ University, Karnataka, Bengaluru, 560029, India; Sekhar G.N., Department of Mathematics, BMS College of Engineering, Karnataka, Bengaluru, 560019, India Description An account of the resource RayleighBard convection in ferromagnetic liquids provides a fundamental framework for understanding magneto-thermal transport in systems where buoyancy, magnetic forces and material properties interact. Most nonlinear studies of ferroconvection, however, assume constant viscosity, even though in practical ferrofluids viscosity may vary with temperature and be influenced by an applied magnetic field. In this work, we examine the stability and nonlinear dynamics of a Newtonian ferromagnetic liquid confined between rigid isothermal boundaries and subjected to a uniform vertical magnetic field, while explicitly accounting for viscosity variations arising from thermal and magnetic effects. Linear stability analysis is carried out using a truncated Galerkin approach, leading to an analytical expression for the stationary critical Rayleigh number that incorporates the viscosity-dependence parameter and magnetic numbers. To investigate post-onset behavior, a generalized Lorenz-type system is derived through a minimal FourierGalerkin truncation, allowing steady, oscillatory and irregular convection states to be explored within a low-dimensional nonlinear framework. Heat transport is interpreted through a Nusselt number formulation expressed in terms of the reduced system variables, with time-averaged values used in non-steady regimes. The model recovers established constant-viscosity ferroconvection results in the appropriate limiting case and demonstrates how viscosity variation modifies stability thresholds, amplitude saturation and convective transport trends. The present formulation provides a compact theoretical basis for assessing the combined influence of thermorheological and magnetorheological effects on convection dynamics in ferrofluid layers relevant to magnetic thermal control applications. The Author(s), under exclusive licence to SocietItaliana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2026. Publisher An entity responsible for making the resource available Springer Science and Business Media Deutschland GmbH Relation A related resource ISSN: 21905444; Language A language of the resource English Type The nature or genre of the resource Article Rights Information about rights held in and over the resource Restricted Access; Hardcopy may be available in the library Format The file format, physical medium, or dimensions of the resource online