Darcy-Forchheimer natural, forced and mixed convection heat transfer in non-Newtonian power-law fluid-saturated porous media

AV Shenoy - Transport in porous media, 1993 - Springer
effect would not be as important when dealing with power-law fluids as the Forchheimer
effect… in the present analysis, the focus is on the important and relevant Darcy-Forchheimer flow. …

The Darcy-Forchheimer law for modelling fluid flow in biological tissues

A Grillo, M Carfagnay, S Federicoz - Theoretical and Applied …, 2014 - doiserbia.nb.rs
… Our results demonstrate that the Forchheimer’s correction has the effect of diminishing the
rapidity with which the system tends to the stationary state. In particular, keeping in mind that …

The effect of permeability on Darcy-to-Forchheimer flow transition

L Wang, MB Cardenas, T Wang, JQ Zhou, L Zheng… - Journal of …, 2022 - Elsevier
… -law function between I c and k based on the Forchheimer equation and … law function of k
if the linear and nonlinear flow regimes respectively follow Darcy’s Law and the Forchheimer

On the theoretical derivation of Darcy and Forchheimer formulas

S Irmay - Eos, Transactions American Geophysical Union, 1958 - Wiley Online Library
… towards Forchheimer's formula. It will be shown that Darcy's law and even Forchheimer's law
… Co efficient b does not depend on viscosity nor tem perature effects, whereas a does so. (3) …

Extension of the DarcyForchheimer law for shear-thinning fluids and validation via pore-scale flow simulations

T Tosco, DL Marchisio, F Lince, R Sethi - Transport in porous media, 2013 - Springer
… for the extension and validation of the DarcyForchheimer law, herein proposed for shear-…
of pressure drops via the extended DarcyForchheimer law. The method can be applied for …

On the developments of Darcy's law to include inertial and slip effects

D Lasseux, FJ Valdés-Parada - Comptes …, 2017 - comptes-rendus.academie-sciences …
… (Forchheimer) correction to Darcy’s law) does not necessarily exist and it is otherwise
restricted to a narrow interval of the Reynolds number. For disordered structures, the Forchheimer

Extended DarcyForchheimer law including inertial flow deflection effects

M Aghaei-Jouybari, JH Seo, S Pinto… - Journal of Fluid …, 2024 - cambridge.org
effects (larger than the pore-scale motions), while the latter, of main interest in the present
paper, aims to capture inertial effects by adding a nonlinear term to the Darcy law. … Darcy’s law. …

Evaluation of Forchheimer equation coefficients for non-Darcy flow in deformable rough-walled fractures

YF Chen, JQ Zhou, SH Hu, R Hu, CB Zhou - Journal of Hydrology, 2015 - Elsevier
Darcy’s law, which relies on the ratio of discharge or pressure gradient predicted by the
Forchheimer’s law … the applicability of Darcy’s law and the effect of fracture roughness on the non-…

The role of eddies inside pores in the transition from Darcy to Forchheimer flows

K Chaudhary, MB Cardenas, W Deng… - Geophysical …, 2011 - Wiley Online Library
… flow and represent the dominance of inertial effects. Our results … Darcy's law and a decrease
in hydraulic conductivity as the flow becomes non-linear. Later, we analyze Forchheimer

Beyond beta factors: a complete model for Darcy, Forchheimer, and trans-Forchheimer flow in porous media

RD Barree, MW Conway - SPE Annual Technical Conference and …, 2004 - onepetro.org
Forchheimer's equation, like Darcy's Law, has a limited range of applicability. At high potential
gradients the flow rate cannot be predicted from Darcy or Forchheimer … -Darcy flow effects. …