One-Dimensional Fully Developed Turbulent Flow through Coarse Porous Medium

Abstract

A fully developed turbulent regime is considered as a specific case of non-Darcy flow, and an analytical approach has been developed to determine normal depth, water surface profile, and seepage discharge of the flow through coarse porous medium in steady condition. The results of a laboratory rock drain with length, height, and width of 6.4, 0.8, and 0.8 m, respectively, and longitudinal slope of 0.04 were compared with the analytical solution developed in this study, and the results showed a good agreement between analytical and experimental data. To see the compatibility of the solution, a Darcy-based form of the solution (Pavlovsky’s method) and a flow analysis of buried streams (FABS) model are compared with the proposed solution and experimental data. Compared with Pavlovsky’s solution and FABS model, the results showed a satisfactory agreement with experimental records from water surface profiles through rock drain.