In many emerging applications, the controlled infiltration of specially designed particle-laden fluids into porous media is critical. The added materials are often chosen with the objective to mechanically, electrically, or magnetically functionalize the overall material. Because of the increased viscosity of particle-laden fluids and the pore-dependent permeability of the medium to be infiltrated, there is a rich choice of parameters that govern the overall process: (i) the base viscosity of the solvent, (ii) the volume fraction of particles in the fluid, (iii) the pore volume fraction of the porous medium, and (iv) the absolute permeability of the medium. This paper develops Darcy-law–like expressions relating the infiltration flow rate of particle-laden fluids to the pressure gradient on porous solids, as a function of the four above parameters. General trends of the process may be satisfactorily described with the derived analytical expressions, yet at an affordable cost on accuracy for rapid daily design analysis. The paper then develops direct, large-scale numerical simulations based on the discrete element method to illustrate the practical use of the proposed relations.

中文翻译：

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加压功能化颗粒负载流体渗入多孔介质

在许多新兴应用中，将专门设计的载有颗粒的流体受控渗透到多孔介质中是至关重要的。选择添加的材料的目的通常是使整个材料机械、电或磁功能化。由于载有颗粒的流体的粘度增加和渗透介质的孔隙相关渗透率，控制整个过程的参数有丰富的选择：(i) 溶剂的基本粘度，(ii)流体中颗粒的体积分数，(iii) 多孔介质的孔隙体积分数，以及 (iv) 介质的绝对渗透率。本文开发了类似达西定律的表达式，将载有颗粒的流体的渗透流速与多孔固体上的压力梯度相关联，作为上述四个参数的函数。可以使用派生的分析表达式令人满意地描述过程的一般趋势，但以可承受的精度成本进行快速日常设计分析。然后，本文基于离散元方法开发了直接的大规模数值模拟，以说明所提出关系的实际应用。