SPP 1506: Transport Processes at Fluidic Interfaces

在多相流系统中，有几个物理化学过程决定了系统的行为，例如，不同流体中的流体动力学和界面的动力学、流体之间的热量和质量传输、界面处的吸附效应和界面上物种的传输、可变的表面性质、相变。一般来说，这些过程是强耦合的，界面的性质起着至关重要的作用。对这种非常复杂的流动问题的行为的严格理解必须以数学模型为基础，特别是在界面处的局部过程。这一优先方案的目的是进一步发展和扩大这些数学模型，分析其数学特性，并发展和改进精确模拟这些模型的数值方法。实现这一目标需要跨学科的研究与专业知识，从应用分析，数值数学，表面物理以及适当的研究领域，在工程科学。优先方案的重要目标是：（1）推导和扩展描述相关物理化学界面现象的数学模型。通过对偏微分方程的基本系统进行严格的数学分析，提高和加深对流体界面处发生的机制和现象的理解;（2）开发和分析用于模拟多相流问题的数值方法，解决界面处的局部过程;（3）通过专门设计的实验验证数学模型和数值模拟方法。一个长期设想是，优先方案中开发的经过验证的模型和模拟工具将在未来的高技术应用中产生重大进展，例如，微反应器、化学工程中的多相反应器、微过程工程等。

In multiphase flow systems there are several physico-chemical processes that determine the systems behaviour, e.g., the fluid dynamics in the different fluids and the dynamics of the interfaces, heat and mass-transport between the fluids, adsorption effects at the interface and transport of species on the interface, variable surface properties, phase changes. In general these processes are strongly coupled and properties of the interface play a crucial role. A rigorous understanding of the behaviour of such very complex flow problems must be based on mathematical models accounting especially for local processes at the interface. The aim of this Priority Programme is to further develop and expand such mathematical models, to analyse their mathematical properties and to develop and advance numerical methods for the rigorous simulation of these models. The realisation of this requires interdisciplinary research with expertise from applied analysis, numerical mathematics, surface physics as well as appropriate research areas in the engineering sciences. Important goals of the Priority Programme are: (1) derive and expand mathematical models that describe relevant physico-chemical interface phenomena. Improve and deepen the understanding of mechanisms and phenomena occurring at fluidic interfaces by means of rigorous mathematical analysis of the underlying systems of partial differential equations; (2) development and analysis of numerical methods for the simulation of multiphase flow problems, which resolve the local processes at the interface; (3) validation of the mathematical models and the numerical simulation methods by means of specifically designed experiments. A long-term vision is that the validated models and simulation tools developed in the Priority Programme induce significant advances in future high-tech applications in, for example, micro-reactors, multiphase reactors in chemical engineering, micro process engineering etc.