there is some papers that worked on reynolds number (lower and upper limit) for which darcy law can work. is there any upper limit reynolds number in forchheimer equation?
Dear Mohsen Alipoor,
From my knowledge, there is no upper limit Reynolds number for Forchheimers equation. Rather Forchheimers equation turns into a quadratic flow law (i.e. turbulent flow) if discharge increases. A recent paper from Mayaud et al. (2015), attached below, provides further explanation. Hope that helps,
Article Nonlinear Flow Process: A New Package to Compute Nonlinear F...
The range of validity of Forchheimer model is strongly dependent on the morphology of the porous matrix.
As for the upper limit in terms of pore-scale Reynolds number, consider that, soon or later, the flow becomes turbulent and the Forchheimer model is not intended for such kind of flows: it is intended to model laminar flows through porous media up to pore-scale Reynolds number of order 100 (this figure must be intended only as a guideline, though).
You might check my paper "Pore-scale simulation of laminar flow through a sample of aluminum foam" (2013) Journal of Porous Media, 16 (9), pp. 777-793 and the references therein.
thanks for answers.
i found flow regime in porous media for both darcy and forchheimer regime is laminar but it seems that flow in turbulent regime for porous media can be exressed like in forchheimer equation and just coefficients are different.
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