Hierarchical Grid Method for Conjugate Mass Transfer in Two-Fluid Flows

多相堆工程面临的一个关键挑战是建立以科学为基础的可持续技术，以满足未来世界对能源和环境的需求。这需要推进对动力学多尺度和多相传输相互作用的科学理解，以确保更高的反应器和工艺效率。由于两相流体力学、热质量传递和化学动力学之间的各种尺度和复杂的相互作用，需要严格的数值方法和模型来获得新的物理见解并确定合适的操作参数。本研究项目的目的是开发一种新的数值方法，用于具有可变形界面的两流体流动中传质的第一性原理模拟。该方法考虑了两相中存在阻力的共轭传质，克服了现有方法的局限性。该方法基于控制方程在锐界面极限下的单场公式和分层网格。它将适用于任意值的亨利数和低至中等施密特数的物种。该方法将在计算机代码中实现，并将通过Taylor流的流体流动和传质实验数据进行验证，这些数据将由SPP内的合作伙伴提供。

A key challenge for multiphase reactor engineering is to establish the scientifically based sustainable technologies necessary for meeting future energy and environmental needs of the world. This requires advancing the scientific understanding of kinetic multi-scale and multi-phase transport interactions to ensure higher reactor and process efficiencies. Due to the various scales and complex interaction between two-phase hydrodynamics, heat and mass transport and chemical kinetics rigorous numerical methods and models are required to gain new physical insight and to determine suitable operational parameters. The objective of this research project is to develop a novel numerical method for first-principle simulations of mass transfer in two-fluid flows with deformable interfaces. The method considers conjugate mass transfer with resistance in both phases and thus overcomes restrictions of existing methods. The approach is based on the single-field formulation of the governing equations in the sharp interface limit and a hierarchical grid. It will be valid for arbitrary values of the Henry number and species with low to intermediate Schmidt numbers. The method will be implemented in a computer code and will be validated by experimental data for fluid flow and mass transfer in Taylor flow, which will be provided by cooperation partners within this SPP.