I am interested in Koseny Carman model applications, apart from the laminar or transient regimes hypothesis; precisely for the turbulent fully developed one.
The quadratic term in the Forchheimer equation is associated with the inertia effect in the laminar regime which is fundamentally different from the quadratic velocity dependence for turbulent flow. I am looking for feedback on turbulent formulation inspired from Kozeny Carman approach
Basically in a fully turbulent flow the tesistance along (pressure drop ) is quadratic with the volume flow. There might also be a linear term if the flow is not fully turbulent. If you ignore this and the pores are pipes with circular cross section you might try the very simple Re^0.25 of the resistance coefficient from Blasius. See Schlichting Boundary Layer Theory. Use an old edition and you will also find information concerning non circular pipe cross sections. Good luck
Dear Colleagues, The Editor of our book "Besbes, M.; Chahed, J.; Hamdane, A. (2014). Sécurité hydrique de la Tunisie, Gérer l'eau en conditions de pénurie. Ed. L'Harmattan" authorized us to distribute the chapters for academic and teaching purposes. Chapters are available within the references of the present project: https://www.researchgate.net/project/SHT-Securite-Hydrique-de-la-Tunisie-Tunisias-Water-Security
Chers Collègues, L'Editeur de notre ouvrage"Besbes, M.; Chahed, J.; Hamdane, A. (2014). Sécurité hydrique de la Tunisie, Gérer l'eau en conditions de pénurie. Ed. L'Harmattan" nous a autorisé à en diffuser les chapitres à des fins acdémiques et d'enseignement. Chapitres disponibles dans les références du présent projet: https://www.researchgate.net/project/SHT-Securite-Hydrique-de-la-Tunisie-Tunisias-Water-Security