Porosity factor for case of laminar flow through granular media

Abstract

The resistance coefficient of flow through granular media depends on the porosity of the medium as well as the Reynolds number of the flow. There is disagreement as to the functional relationship between porosity and resistance coefficient, hence a series of carefully conducted permeability tests was made on randomly packed and systematically packed media using a variable head permeameter. The test results indicated that the relationship between porosity and resistance coefficient for laminar flow through granular media is represented best by the Fair‐Hatch expression (l‐a)2/a3 when compared with other factors that appear in the literature.

A Unified View of Nonlinear Resistance Formulas for Seepage Flow in Coarse Granular Media

“…According to Frank Engelund (1953) [34], this porosity function f L of the linear expression fits better than the function f L from Ergun Equation ( 23) to the measurements obtained by Rose (1953) [37] and Franzini (1951) [38], especially the latter, who worked with a wide interval of porosities 0.270 < n < 0.476. Ergun (1952) [12] proposed universal values for the dimensionless coefficients α and β.…”

Optimization and management of materials in earthwork construction

“…The model shown in Equation (1) has been found valid for a large number of soils (Franzini, 1951;Lambe and Whitman, 1969;Taylor, 1948). Sridharan and Nagaraj (2005) studied this model by a number of tests and found that x = 4 and C = 2.5 x 10 -4 (I S ) -3.69 , where I S is shrinkage index = LL-SL.…”