An equation for the dimensionless friction factor of consolidated sandstone

Abstract

An equation that relates the dimensionless friction factor of a porous medium its Reynolds number, during incompressible and compressible fluid flow through the medium is proposed. The equation is a curve fit of a graph drawn from the results of Ohirhian for water (liquid) and that of Akpokene for Nitrogen (gas) flow through synthetic consolidated sandstone cores. The equation is valid for Reynolds number in the range 25 to 62.5. This range of
the Reynolds number is dictated by the low ratio of upstream to downstream pressure (1.45:1.00) of the Ruska Gas Permeameter that is used to perform the gas flow experiment.