Abstract:

Convection in rapidly rotating fluids and mixing through porous media are often treated as distinct problems: one is constrained by Coriolis forces and Ekman layers, the other by Darcy drag and permeability. Yet both systems share a unifying feature: momentum is strongly constrained, reorganizing the flow into anisotropic structures and reshaping how heat (or mass) transport emerges from a competition between bulk dynamics and boundary layers. Building on recent progress, this talk develops a common, balance-based framework for transport scaling that bridges these two settings. For porous media convection, we start from exact global relationships for kinetic energy and thermal dissipation, then adapt a partition of dissipation between boundary layers and bulk to predict the Nusselt number as a function of the Rayleigh–Darcy number, including a rational explanation for why transport differs between 2D and 3D via the flow-structure length scale. For rapidly rotating Rayleigh–Bénard convection, we reinterpret “diffusion-free” geostrophic regimes through the same lens and highlight how extreme-parameter DNS reveals heat-transport scalings controlled by the supercriticality, including distinct geostrophic regimes with markedly different supercriticality dependence. The payoff is a unified scaling map that connects porous drag–dominated and rotation–dominated convection, clarifying which dissipation pathways set the transport law and offering a transferable route to model geophysical, astrophysical, and engineered convection under strong dynamical constraints.

Introduction of speaker:

朱晓珏博士现为德国哥廷根的马克斯·普朗克独立研究组组长（Independent Max Planck Research Group Leader）。他于2018年在荷兰特文特大学流体物理研究组获得博士学位，随后于2019年至2021年在哈佛大学应用数学系担任博士后研究员。朱博士曾获得多项荣誉与奖励，包括戴姆勒和奔驰基金会Fellowship of the Daimler and Benz Foundation for Junior Professors、剑桥大学David Crighton Fellowship以及荷兰NWO物理学博士论文奖（NWO Physics Thesis Award，荷兰最佳物理学博士论文）。迄今为止，他的研究组已接待五位洪堡学者。朱博士的研究方向聚焦于计算流体力学，重点关注湍流与多相流。他已发表近70篇学术论文，其中包括35篇发表在JFM，以及10余篇发表在PRL、PNAS、Nature Communications、Science Advances等期刊上的研究成果。

审核：刘有晟、游小清