ItemArticle

Influence of magnetic field modulation on thermomagnetic convection in a layer of ferrofluid bounded by rigidfree boundaries

Title
Influence of magnetic field modulation on thermomagnetic convection in a layer of ferrofluid bounded by rigidfree boundaries
Creator
Francis, Roxanne; Narayana, Mahesha; Siddheshwar, P.G.
Description
With a focus on rigidfree boundaries, the impact of magnetic field modulation on thermomagnetic convection in ferrofluids is studied. The effects of large and small-scale modulations are examined using linear theory. Utilizing the superposition principle and several perturbation modes, small-scale modulation is investigated. The case of large-scale modulation is dealt with the aid of Mathieu equation to shed light on the prevalence of subharmonic motions. Utility of Floquet theory resulted in an infinite linear system from which the critical magnetic Rayleigh number was evaluated in the case of large-scale modulations. Weak non-linear theory is used in arriving at the non-autonomous tri-modal Lorenz system, from which bifurcation and post-convective analyses are done. It was found that magnetic field-modulation has significant, yet varying stabilizing effects on the convection process, and is uniquely determined by the conditions of the medium and magnitude of the modulation. Another important outcome of the study is that magnetic field modulation induces hyperchaos within the tri-modal autonomous system, and occurs for random combinations of modulation parameters. The emergence of chaos for rigidfree boundaries is confirmed to occur between the equivalent rigidrigid and freefree cases. 2025
Source
International Journal of Heat and Mass Transfer;Volume;251;Issue;;Article No.;127359;
Date
01-01-2025
Publisher
Elsevier Ltd
Subject
Ferrofluid; HopfRayleigh number; Linear stability analysis; Lorenz system; RayleighBard convection; Rigidfree boundaries; Thermomagnetic convection; Weakly non-linear stability analysis
Coverage
Francis R., Department of Mathematics, The University of the West Indies, Mona Campus, Kingston 7, Jamaica; Narayana M., Department of Mathematics, The University of the West Indies, Mona Campus, Kingston 7, Jamaica; Siddheshwar P.G., Centre for Mathematical Needs, Department of Mathematics, CHRIST University, Bengaluru, 560029, India
Rights
Restricted Access; Hardcopy may be available in the library
Relation
ISSN: 179310; CODEN: IJHMA
Format
online
Language
English
Type
Article

Citation

Francis, Roxanne; Narayana, Mahesha; Siddheshwar, P.G., “Influence of magnetic field modulation on thermomagnetic convection in a layer of ferrofluid bounded by rigidfree boundaries,” CHRIST (Deemed To Be University) Institutional Repository, accessed June 19, 2026, https://archives.christuniversity.in/items/show/22295.

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