2025/01/09 by Matthew McCormack, Andrei Teimurazov, McCormack, Matthew +5
Materials Science · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Solidification and crystal growth phenomena #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2501.05150
openalex publication_date 2025/01/09 · openalex created_date 2025/01/11 · openalex updated_date 2026/07/29
In magnetoconvection, the flow is governed by the interplay between gravitational buoyancy and the Lorentz force, with one of these forces dominating in different regimes. In this paper, we develop a model with a single adjustable parameter that accurately captures the smooth transition from a buoyancy-dominated regime to one dominated by the Lorentz force. A perturbative extension of the model accounts for distinct transition features that occur at high Prandtl numbers. We validate the model for magnetoconvection in both the quasistatic regime and at finite magnetic Reynolds numbers using data from direct numerical simulations and existing experimental data sets. The model contains a natural extension to rotating convection and offers a potential generalisation to rotating magnetoconvection.