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首页> 外文期刊>Applied Mathematical Modelling >Characterizing flow resistance in 3-dimensional disordered fibrous structures based on Forchheimer coefficients for a wide range of Reynolds numbers
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Characterizing flow resistance in 3-dimensional disordered fibrous structures based on Forchheimer coefficients for a wide range of Reynolds numbers

机译：基于广泛的雷诺数的基于Forchheimer系数的3维无序纤维结构的流动阻力特性

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The flow resistance in 3-dimensional fibrous structures are investigated in particle Reynolds number representing flow characteristics with strong inertia. The resistance coefficients are established based on steady state simulations of single-phase processes of water numerically. An automatized simulation process in COMSOL is developed with a MAT-LAB algorithm in which production runs could be carried for various 3-dimensional fibrous structures. Simulation of flow processes ranging from Reynolds numbers at creeping flow levels to high Reynolds number at approximately 1000 are calculated and a numerical data set is established in order to estimate Forchheimer coefficients which are used to correlate a dimensionless friction factor to a modified Reynolds expression for porous media. The friction factor and dimensionless permeability are calculated for fibrous structures with (ⅰ) disordered unidirectional fibers (ⅱ) an isotropic fiber orientation in-plane perpendicular to the flow, and (ⅲ) an isotropic fiber structure in a the 3-dimensional space. Empirical correlations of the friction factor and Reynolds number are used to compare our simulation data in order to assess the validity of our models and flow resistance estimations. The dimensionless permeability is moreover compared to other numerical simulations of flow through fibrous structures in order to assess flow resistance at low Reynolds number. It is concluded that flow resistance in the isotropic fiber arrangement in space is lower than the in-plane isotropic orientation and disordered unidirectional fiber arrangements at creeping flow conditions, however, all friction actors converges towards the same value at higher Reynolds numbers indicating that fiber orientation is independent at high inertia flow regimes. Overall, our numerical simulations agree well to classical empirical formulations for a wide range of Reynolds number. However, the comparison differs considerably depending on the porosity level.
机译：研究了3维纤维结构中的流动阻力，以雷诺数表示具有强惯性的流动特性。基于数值模拟水的单相过程的稳态模拟来建立电阻系数。使用MAT-LAB算法开发了COMSOL中的自动化仿真过程，其中可以进行各种3维纤维结构的生产运行。计算了从蠕变流量水平的雷诺数到大约1000的高雷诺数的流动过程的模拟，并建立了一个数值数据集，以估计Forchheimer系数，该系数用于将无量纲的摩擦系数与多孔的改进的雷诺兹表达式相关联媒体。对于具有（）无序单向纤维（）垂直于流的平面内各向同性纤维取向和（）三维空间中的各向同性纤维结构的纤维结构，计算摩擦因数和无因次渗透率。为了评估模型和流阻估计的有效性，使用了摩擦系数和雷诺数的经验相关性来比较我们的模拟数据。此外，无量纲渗透率与流经纤维结构的其他数值模拟相比，以评估低雷诺数下的流阻。结论是，在蠕变流动条件下，空间中各向同性纤维排列中的流动阻力低于平面内各向同性取向和无序单向纤维排列，但是，在较高的雷诺数下，所有摩擦因数都趋于相同值，表明纤维取向在高惯性流态下是独立的。总体而言，我们的数值模拟与广泛的雷诺数的经典经验公式非常吻合。但是，根据孔隙率的不同，比较也有很大差异。

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