Modelling of fluid flow in porous media and filtering water process: Langevin dynamics and Darcy’s law based approach

Determination of the Flow Rate Characteristics of Porous Media Under the Positive Pressure and Vacuum

“…The R 2 value of each fitting line exceeds 0.98, indicating that the Darcy's law dominates the flow pattern and the errors are acceptable. The resultant fitting results are used to obtain the permeability coefficient according to equation (6).…”

“…Several studies [3][4][5][6][7] have demonstrated that Darcy regime can predict the flow behavior properly when the flow is dominated by the viscous effect. Meanwhile, when the inertial effect becomes the dominant factor, the pressure gradient versus flow velocity exhibits a nonlinear relation.…”

Simulation of mass and heat transfer of Quercus leaf particles during hydrothermal extraction

“…There are plenty of stomata on the epidermis and loose mesophyll cells in the middle of the leaves, so the Quercus leaves can be considered as a porous structure where media such as fluids, heat, and electrical waves can be transmitted. [ 7–9 ] Macroscopic transport characteristics of porous media, such as hydraulic conductivity, thermal conductivity, and dielectric constant, are directly affected by many physical and chemical properties of the media such as porosity, pore size, capillary bending characteristics, fluid properties, and fluid‐thermal coupling. [ 10 ] COMSOL Multiphysics software has been widely used to simulate complex transport phenomena in multiple physical fields by solving the coupled partial differential equations that govern the transport phenomena.…”