Fluid Flow in Tree-Shaped Constructal Networks: Porosity, Permeability and Inertial Parameter
This paper aims to contribute to the ongoing research on tree-shaped flow structures. First, it briefly traces the progress made on constructal tree-shaped flow networks. Then, the paper focuses on tree pattern of tubes connecting the centre and the rim of a circular area. It shows that the physical description underlying the classical Darcy-Forchheimer-Ergun equation may provide a legitimate correlation for this kind of flow structure. The porosity, hydraulic permeability and the inertial factor of the flow structure are also presented.
Andreas Öchsner, Graeme E. Murch, Ali Shokuhfar and João M.P.Q. Delgado
A. F. Miguel "Fluid Flow in Tree-Shaped Constructal Networks: Porosity, Permeability and Inertial Parameter", Defect and Diffusion Forum, Vols. 297-301, pp. 408-412, 2010