This study presents the procedure of deriving a compartmental model (CM) based on an analysis obtained from the computational fluid dynamics (CFD) model of a bioreactor. The CM is composed of two parts, a structural (that takes into account the architecture of the mathematical model), and a parametric part (which contains the extrinsic parameters of the model). The CM is composed of the branches containing the set of perfectly mixed continuous stirred-tank reactors (CSTRs) in a configuration that matches the bioreactor’s flow patterns. Therefore, this work’s main objective was to develop a mathematical model that incorporated the flow field obtained by CFD technique. The proposed mathematical model was validated by means of the experimental data in the form of the residence time distribution (RTD) measurements.

中文翻译：

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基于CFD的隔室模型在生物反应器中流体力学的数学建模。

这项研究提出了基于从生物反应器的计算流体力学（CFD）模型获得的分析得出隔室模型（CM）的过程。CM由两部分组成：结构部分（考虑数学模型的体系结构）和参数部分（包含模型的外部参数）。CM由分支组成，这些分支包含一组完全混合的连续搅拌釜反应器（CSTR），其构型与生物反应器的流型相匹配。因此，这项工作的主要目的是建立一个数学模型，该模型结合了通过CFD技术获得的流场。所提出的数学模型通过停留时间分布（RTD）测量形式的实验数据进行了验证。