基于混沌流的化学反应器设计准则
Design criteria of a chemical reactor based on a chaotic flow
摘要：
我们考虑的化学混合装置的设计标准的基础上的混沌流，重点是稳态装置。反应器的优点，定义为$Q$ -因子，与装置的物理尺寸和反应物通过流动的局部李雅普诺夫指数的分子扩散率有关。局部李雅普诺夫指数可以计算任何给定的流场，它也可以在实验情况下测量。提供易于计算的公式来估计的$Q$因子给定的精确的空间依赖性的本地李雅普诺夫指数或其概率分布函数。在局部李雅普诺夫指数的背景下，对优化的要求是精确的。
英文摘要：
We consider the design criteria of a chemical mixing device based on a chaotic flow, with an emphasis on the steady-state devices. The merit of a reactor, defined as the $Q$-factor, is related to the physical dimension of the device and the molecular diffusivity of the reactants through the local Lyapunov exponents of the flow. The local Lyapunov exponent can be calculated for any given flow field and it can also be measured in experimental situations. Easy-to-compute formulae are provided to estimate the $Q$-factor given either the exact spatial dependence of the local Lyapunov exponent or its probability distribution function. The requirements for optimization are made precise in the context of local Lyapunov exponents.
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