Smoothed Particle Hydrodynamics Simulations of Porous Medium Flow Using Ergun’s Fixed-Bed Equation

A popular equation that is often employed to represent the relationship between pressure loss and fluid flow in fluidized or packed granular beds Ergun equation, which an extension of Darcy’s law. In this paper, method Smoothed Particle Hydrodynamics (SPH) used numerically study field across a rectangular channel partially filled with porous layer both at Representative Elementary Volume (REV) scale using pore scale. Since can be estimated REV much lower cost compared scale, it important evaluate how accurately pore-scale results reproduced The comparison scales made terms velocity profiles outlet losses clear zones for three different arrays solid grains show minimum differences structure always occur intermediate values porosity (ϕ=0.44 0.55). As increases, also increase. details are affected by geometry medium. particular, we find match those almost independently only when uniformly distributed non-staggered square array.