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Mathematical model for the biofilm-activated sludge reactor

机译:生物膜活化污泥反应器的数学模型

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摘要

A steady state mathematical model is developed for describing the completely mixed biofilm-activated sludge reactor (hybrid reactor). The model is derived by simultaneously considering Monod kinetics expressions and Fickian's diffusion theory for substrate in biofilm. In addition, it includes the basic concepts, which describe both culture (suspended and attached) and the competition between them for limiting substrate. By using this model the suspended biomass concentration can be obtained for this system. Subsequently, the other remaining parameters of the system can be computed. Therefore it helps to design and operate the hybrid reactor under different conditions for any given set of kinetic parameters. The utility of the model has been explained for a given set of data and verified by comparing with another solution. It is found that for the same set of data, the model is accurate in the results. The model has been presented in more than one form, each form having an explicit solution of the system. Compared with other solutions of such a system, the model provides a good tool for describing such a system based on fundamental principles.
机译:建立了用于描述完全混合的生物膜活化污泥反应器(混合反应器)的稳态数学模型。该模型是通过同时考虑Monod动力学表达式和生物膜中底物的Fickian扩散理论得出的。此外,它还包括基本概念,这些概念描述了文化(悬浮和依附)及其在限制底物方面的竞争。通过使用该模型,可以获得该系统的悬浮生物质浓度。随后,可以计算系统的其他剩余参数。因此,对于任何给定的动力学参数集,它有助于在不同条件下设计和操作混合反应堆。已经针对给定的数据集解释了该模型的效用,并通过与其他解决方案进行比较进行了验证。发现对于相同的数据集,该模型的结果是准确的。该模型以多种形式表示,每种形式都有系统的明确解决方案。与此类系统的其他解决方案相比,该模型为基于基本原理描述此类系统提供了很好的工具。

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