Abstract The transport of species in a vegetable matrix was modelled and studied based on a phenomenological model, in which a solid composed by the cells, pores and tissues was considered. The model is able to predict the multi-scale mass transport by defining only one effective diffusion coefficient, which made by proposing an inter-scale resistance constant. This parameter is a measure of the difficulty to the mass transport between two scales. The model was successfully validated with experimental data on the mass transport in both an organic and an inorganic matrix, which demonstrate the versatility of the model herein proposed.

中文翻译：

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多孔尺度质量传递的数学模型

摘要 基于由细胞、孔隙和组织组成的固体的现象学模型，对植物基质中物种的运输进行了建模和研究。该模型能够通过仅定义一个有效扩散系数来预测多尺度质量传输，该系数是通过提出一个尺度间阻力常数来实现的。该参数用于衡量两个尺度之间的质量传递的难度。该模型通过有机和无机基质中传质的实验数据成功验证，这证明了本文提出的模型的多功能性。