Determination of the Effective Viscosity of Non-newtonian Fluids Flowing Through Porous Media

摘要: When non-Newtonian fluids flow through porous media, the topology of pore space leads to a broad range velocities and shear rates. Consequently, local viscosity fluid also varies in with non-linear dependence on Darcy velocity. Therefore, an effective is usually used describe at scale. For most flows rheology can be described by (non linear) function rate. Current approaches estimate first calculating rate mainly adopting power-law model for including empirical correction factor. In second step this averaged together calculate. work, we derive semi-analytical expression profile using Carreau type fluid, which more broadly applicable than model. By solving equations circular cross section capillary are able calculate average viscous resistance directly as spatial viscosity. This approach circumvents use classical bundle models allows upscale distribution mean size Different from commonly models, presented does neither require tortuosity nor permeability input parameters. our only uses characteristic length scale media not coefficients. The comparison proposed cell experiments conducted packed bed monodisperse spherical beads shows, that performs well physical porosity estimated size, without need determine good agreement existing suggests providing insight into upscaling media.