发表机构
University of California, Los Angeles; Harvard University（加州大学洛杉矶分校; 哈佛大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出一种结合三维扫描立体PIV与拉格朗日相干结构分析的实验方法，首次实现高普朗特数下多个层流热柱的定量四维速度测量与边界追踪，为地幔对流研究提供新工具。
AI 中文摘要
黏性流体中对流流动的实验室研究对于各种工程和地球物理应用至关重要，包括行星地幔中的强烈对流，其中涉及多个上升热柱。许多实验技术已被开发用于可视化流动和热柱，但以往的大多数测量在很大程度上仍是定性的。在此，我们提出一种测量和分析携带热柱的黏性流体四维（4D）流动的方法，将体积速度测量技术扩展到与地幔对流相关的高普朗特数层流状态。首先，将定制的三维（3D）扫描立体粒子图像测速（SSPIV）系统应用于适合研究地球内部动力学的瑞利-贝纳德实验。我们报告了在高普朗特数下多个相互作用的层流热柱的首次定量四维速度测量。原始速度数据通过拉格朗日相干结构（LCS）和聚类分析流程进行后处理，该流程针对黏性热柱簇定制，能够对热柱在空间和时间上进行定量的、基于输运的物质边界追踪。我们展示了示例结果以证明我们方法的能力，同时在配套论文Bao和Lithgow-Bertelloni（2025）中全面探讨了动力学。我们的分析量化了多个相互作用热柱的丰富动力学行为。我们建议，我们的测量和分析方法有助于更好地量化滋养地球火山热点和其他行星内部的热柱的形态、相互作用和演化路径。
英文摘要
Laboratory investigation of convective flow in viscous fluids is crucial for various engineering and geophysical applications, including vigorous convection in planetary mantles, which involves multiple rising plumes. Many experimental techniques have been developed to visualize the flow and plumes, but most previous measurements remain largely qualitative. Here we present a method to measure and analyze four-dimensional (4D) plume-bearing viscous fluid flow, extending volumetric velocimetry approaches to the high Prandtl-number laminar regime relevant to mantle convection. First, a customized three dimensional (3D) Scanning Stereoscopic Particle Image Velocimetry (SSPIV) system is applied to a Rayleigh-Bénard experiment suitable to study the dynamics of Earth's interior. We report the first quantitative 4D velocity measurements of multiple interacting laminar plumes at high Prandtl numbers. The raw velocity data are postprocessed with a Lagrangian Coherent Structure (LCS) and cluster analysis pipeline, tailored for clusters of viscous plumes, which allows quantitative, transport-based material boundary tracking of the plumes in space and time. We show example results to demonstrate the power of our method while fully exploring the dynamics in a companion paper Bao and Lithgow-Bertelloni (2025). Our analysis quantifies the rich dynamical behavior of multiple interacting plumes. We suggest our method of measurement and analysis can help better quantify the morphology, interaction, and evolutionary pathways of plumes feeding Earth's volcanic hotspots and other planetary interiors.
Comments43 pages, 21 figures
