Rc. Givler et Sa. Altobelli, A DETERMINATION OF THE EFFECTIVE VISCOSITY FOR THE BRINKMAN-FORCHHEIMER FLOW MODEL, Journal of Fluid Mechanics, 258, 1994, pp. 355-370
The effective viscosity mu e for the Brinkman-Forchheimer flow (BFF) m
odel has been determined experimentally for steady flow through a wall
-bounded porous medium. Nuclear magnetic resonance (NMR) techniques we
re used to measure non-invasively the ensemble-average velocity profil
e of water flowing through a tube filled with an open-cell rigid foam
of high porosity (phi = 0.972). By comparing these data with the BFF m
odel, for which all remaining parameters were measured independently,
it was determined that mu(e) = (7.5(-2.4)(+3.4))mu(f), where mu(f) was
the viscosity of the fluid. The Reynolds number, based upon the squar
e root of the permeability, was 17.