Coupling of chemical reaction with flow and molecular transport

IF 0.6 4区 数学 Q4 MATHEMATICS, APPLIED
U. Maas
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引用次数: 27

Abstract

During the last years the interest in the numerical simulation of reacting flows has grown considerably. Numerical methods are available, which allow to couple chemical kinetics with flow and molecular transport. However, the use of detailed physical and chemical models, involving more than 100 chemical species, and thus more than 100 species conservation equations, is restricted to very simple flow configurations like one-dimensional systems or two-dimensional systems with very simple geometries, and models are required, which simplify chemistry without sacrificing accuracy. In many chemically reacting flows chemical processes occur with time scales differing by many orders of magnitude (e.g., 10$^{-10}$ s to 1 s in combustion processes), whereas the time scales of flow, molecular transport, and turbulence usually cover a much smaller range of time scales. Based on local time scale analyses it is possible to decouple the fast (and thus not rate limiting) chemical processes. In this way the chemistry can be described in terms of a small number of governing reaction progress variables, and computations of complex reacting flow problems become possible. Examples for calculations with detailed and simplified chemistry are shown for various reacting flows, such as hypersonic reacting flows or combustion processes.
化学反应与流动和分子运输的耦合
在过去的几年中,对反应流动的数值模拟的兴趣有了很大的增长。数值方法是可用的,它允许耦合化学动力学与流动和分子运输。然而,详细的物理和化学模型的使用,涉及超过100种化学物质,因此超过100种物种守恒方程,仅限于非常简单的流动配置,如一维系统或具有非常简单几何形状的二维系统,并且需要模型,在不牺牲准确性的情况下简化化学。在许多化学反应流动中,化学过程发生的时间尺度相差许多数量级(例如,燃烧过程中的10$^{-10}$ s到1 $ s),而流动、分子运输和湍流的时间尺度通常覆盖的时间尺度范围要小得多。基于局部时间尺度分析,有可能解耦快速(因此不限速)的化学过程。通过这种方式,化学反应可以用少数控制反应过程的变量来描述,并且可以计算复杂的反应流问题。用详细和简化的化学计算的例子显示了各种反应流,如高超声速反应流或燃烧过程。
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来源期刊
Applications of Mathematics
Applications of Mathematics 数学-应用数学
CiteScore
1.50
自引率
0.00%
发文量
0
审稿时长
3.0 months
期刊介绍: Applications of Mathematics publishes original high quality research papers that are directed towards applications of mathematical methods in various branches of science and engineering. The main topics covered include: - Mechanics of Solids; - Fluid Mechanics; - Electrical Engineering; - Solutions of Differential and Integral Equations; - Mathematical Physics; - Optimization; - Probability Mathematical Statistics. The journal is of interest to a wide audience of mathematicians, scientists and engineers concerned with the development of scientific computing, mathematical statistics and applicable mathematics in general.
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