标题： 准静态和完整磁流体对流中尺度规律过渡的热传输模型 显示英文标题

标题： Heat transport model for the transition between scaling regimes in quasistatic and full magnetoconvection

摘要： 在磁对流中，流动由重力浮力和洛伦兹力之间的相互作用所支配，在不同的区域中其中一个力占主导地位。 在本文中，我们开发了一个具有单一可调参数的模型，该模型准确捕捉了从浮力主导区域到洛伦兹力主导区域的平滑过渡。 该模型的微扰扩展考虑了在高普朗特数下出现的不同过渡特征。 我们使用直接数值模拟数据和现有实验数据集验证了该模型在准静态区域和有限磁雷诺数下的磁对流。 该模型自然地扩展到旋转对流，并为旋转磁对流提供了一种可能的推广。 显示英文摘要

摘要： 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.