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A simplified model for the steady-state biofilm-activated sludge reactor

机译：稳态生物膜活化污泥反应器的简化模型

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摘要

A simplified mathematical model is proposed to describe the steady-state completely mixed biofilm-activated sludge reactor (hybrid reactor). The model is derived based on Monod kinetic expressions and the Fickian diffusion law in biofilm. In addition, it considers all the essential concepts that describe the two types of growth (suspended and attached) and the competition between them for limiting substrate. Also the present study has been extended to investigate simple and accurate mathematical expressions for describing the substrate diffusion in biofilm (J). The expression for substrate flux has an explicit solution, which may be useful in the proposed model and many other applications. The application of the model for the hybrid system has been explained for a given set of data and verified by comparison with another solution. Also the model was applied to experimental results for a trace level of suspended biomass concentration (X). It was found that the biofilm flux (J) is the key factor in the model prediction, hence the accuracy of the model output is influenced by the accuracy of J. Compared with other solutions for such systems the model is simple, easy to use, and provides an accurate tool for describing such systems based on fundamental principles.
机译：提出了简化的数学模型来描述稳态完全混合的生物膜活化污泥反应器（混合反应器）。该模型是基于Monod动力学表达式和生物膜中的Fickian扩散定律得出的。此外，它考虑了描述这两种增长类型（悬浮和附着）以及它们之间对限制底物的竞争的所有基本概念。同样，本研究已经扩展到研究用于描述生物膜中底物扩散的简单而准确的数学表达式（J）。基板通量的表达式具有明确的解决方案，这可能在建议的模型和许多其他应用中很有用。对于给定的数据集，已经说明了该模型在混合动力系统中的应用，并通过与另一种解决方案的比较进行了验证。还将模型应用于痕量悬浮生物质浓度（X）的实验结果。发现生物膜通量（J）是模型预测的关键因素，因此模型输出的准确性受J准确性的影响。与此类系统的其他解决方案相比，该模型简单，易于使用，并提供了基于基本原理描述此类系统的准确工具。

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