A Flow Resistance Model for Power Law Fluid in Granular Porous Media with Wall Effect

Abstract

For an important engineering application background, a new resistance model for predicting power law fluid flowing through granular porous medium with homogeneous spherical particles was developed in this study. By considering the influence of wall effect, every parameter in the modified Ergun type equation hadits clear physical meaning. The analysis results showed that the influence of wall effect on the inertia item pressure loss was closely related to the Reynolds number and D/d. The correlations of critical Reynolds number, the modified permeability, the inertia coefficient and dimensionless equivalent viscosity ratio for power law fluid were derived and described in detail.