A spatially resolved one dimensional pressure filtration model was developed for a slurry of edible fat crystals. The model focuses on the expression step in which a cake is compressed to force the liquid through a filter cloth. The model describes the local oil flow in the shrinking cake modeled as a porous nonlinear elastic medium existing of two phases, viz. porous aggregates and interaggregate liquid. Conservation equations lead to a set of two differential equations (vs. time and vs. a material coordinate ω) for two void ratios, which are solved numerically by exploiting a finite-difference scheme. A simulation with this model results in a spatially resolved cake composition and in the outflow velocity, both as a function of time, as well as the final solid fat contents of the cake. Simulation results for various filtration conditions are compared with experimental data collected in a pilot-plant scale filter press.

中文翻译：

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食用脂肪浆压力过滤的空间分辨模型

一种空间分辨的一维压力过滤模型被开发用于食用脂肪晶体的浆液。该模型侧重于挤压蛋糕以迫使液体通过滤布的表达步骤。该模型描述了收缩饼中的局部油流，该收缩饼被建模为存在两相的多孔非线性弹性介质，即。多孔聚集体和相互聚集的液体。守恒方程导致一组两个微分方程（与时间和与材料坐标ω) 对于两个空隙率，通过利用有限差分格式进行数值求解。使用该模型进行的模拟会产生空间解析的蛋糕成分和流出速度，两者都是时间的函数，以及蛋糕的最终固体脂肪含量。将各种过滤条件的模拟结果与在中试规模压滤机中收集的实验数据进行比较。