Empirical Flow Rate/Pressure Drop Relationships for Capillaries of Triangular and Rectangular Cross-Sections to be Used in Yield Stress Fluid Porosimetry

The aim of the present work is to investigate flow rate/pressure gradient relationship for yield stress fluids through rectilinear capillaries non-circular cross-sections. These very often serve as basic elements in modeling porous media bundles or pore-network models. Based on notions shape coefficient and critical Bingham number, empirical relationships have been proposed both Herschel–Bulkley fluids. reliability these has assessed by performing numerical simulations with open-source Computational Fluid Dynamics (CFD) package OpenFOAM. For considered cross-sectional shapes (equilateral triangle square), a wide range numbers, predictions shown be good agreement results current simulations, well previous from literature. An interesting feature possibility easily predict total rate under given imposed pressure bundle having any random distribution inscribed circle radii. Furthermore, context fluid porosimetry method (YSM), experimental data may now processed based upon