Experimental investigation of the pre–Darcy regime

Abstract

The validity of Darcy’s law at very low Reynolds numbers is discussed controversially in literature, as some authors propose a pre–Darcy flow regime below some critical Reynolds number. The scope of this work is to investigate this problem experimentally. Therefore, a packing of glass spheres is perfused by different glycerin–water solutions. A linear behaviour between the flow velocity and the pressure drop through the packed spheres is found in the complete investigated range of Reynolds number Red′, based on the mean-pore diameter d′ and mean-pore velocity v′ with 10-9≤Red′≤10-1. This contradicts the results of different authors like Fand et al. (1987) or Kececioglu and Jiang (1994), postulating a pre–Darcy regime for Red′≤2.8·10-6 or Red′≤0.13, respectively. Graphical abstract: [Figure not available: see fulltext.].