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Mathematical modeling of a biogenous filter cake and identification of oilseed material parameters

机译：生物源滤饼的数学建模和油料参数的确定

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Mathematical modeling of the filtration and extrusion process inside a linear compression chamber has gained a lot of attention during several past decades. This subject was originally related to mechanical and hydraulic properties of soils (in particular work of Terzaghi) and later was this approach adopted for the modeling of various technological processes in the chemical industry (work of Shirato). Developed mathematical models of continuum mechanics of porousmaterials with interstitial fluid were then applied also to the problem of an oilseed expression. In this case, various simplifications and partial linearizations are introduced in models for the reason of an analytical or numerical solubility; or it is not possible to generalize the model formulation into the fully 3D problem of an oil expression extrusion with a complex geometry such as it has a screw press extruder. We proposed a modified model for the oil seeds expression process in a linear compression chamber. The model accounts for the rheological properties of the deformable solid matrix of compressed seed, where the permeability of the porous solid is described by the Darcy’s law. A methodology of the experimental work necessary for a material parameters identification is presented together with numerical simulation examples.
机译：在过去的几十年中，线性压缩室内的过滤和挤压过程的数学模型引起了很多关注。该主题最初与土壤的机械和水力特性相关（特别是Terzaghi的工作），后来被此方法用于化学工业中各种技术过程的建模（Shirato的工作）。开发的具有间隙流体的多孔材料连续力学的数学模型也被应用于含油种子的表达问题。在这种情况下，出于分析或数值溶解度的原因，在模型中引入了各种简化和部分线性化。或无法将模型公式推广到具有复杂几何形状的油压挤压成型（例如带有螺杆挤压机）的全3D问题中。我们为线性压缩室内的油料种子表达过程提出了一种改进的模型。该模型考虑了压缩种子的可变形固体基质的流变特性，其中达西定律描述了多孔固体的渗透性。提出了材料参数识别所必需的实验工作方法，并给出了数值模拟示例。

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