Zhang, T., Zhao, Y., Gan, Q., Yuan, L., Zhu, G. and Cai, Y. (2018) Experimental Investigation of the Forchheimer Coefficients for Non-Darcy Flow in Conglomerate-Confined Aquifer. Geofluids, 2018, Article ID: 4209197.
https://doi.org/10.1155/2018/4209197

has been cited by the following article:

• TITLE: Non-Darcy Flow in Molding Sands

  AUTHORS: Miguel A. Barron-Meza, Joan Reyes-Miranda, Daniel Flores-Sanchez

  KEYWORDS: Darcy’s Law, Molding Sands, Non-Darcy Flow, Reynolds Number, Shape Factor

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.14 No.4, April 18, 2024

  ABSTRACT: Darcy’s law is widely used to describe the flow in porous media in which there is a linear relationship between fluid velocity and pressure gradient. However, it has been found that for high numbers of Reynolds this law ceases to be valid. In this work, the Ergun equation is employed to consider the non-linearity of air velocity with the pressure gradient in casting sands. The contribution of non-linearity to the total flow in terms of a variable defined as a non-Darcy flow fraction is numerically quantified. In addition, the influence of the shape factor of the sand grains on the non-linear flow fraction is analyzed. It is found that for values of the Reynolds number less or equal than 1, the contribution of non-linearity for spherical particles is around 1.15%.