However it has been found that the scaling law does not apply in many cases. There have been few criteria to determine under what conditions the Washburn law works. The effect of gravity on spontaneous imbibition in porous media was investigated both theoretically and experimentally. The ...
J. Berthier et al, A generalization of the Lucas-Washburn-Rideal law to composite microchannels of arbitrary cross-section, Microfluid. Nanofluid., In press.Berthier, J.; Gosselin, D.; Berthier, E. A generalization of the Lucas-Washburn-Rideal law to composite microchannels of arbitrary cross ...
The\ntransport process is analyzed within a Darcy scale description, considering a\ngeneralized pre-factor of the L-W law, termed Lucas-Washburn-Darcy imbibition\nability. It assumes a Hagen-Poiseuille velocity profile in the pores and\ndepends on the porosity, the mean pore diameter, the ...
The Lucas-Washburn equation is still being applied by a significant number of researchers for the modelling of water absorption in cementitious materials. A modern approach considers the extended Darcy's law leading to the Richards equation instead. Three main assumptions are implied by the ...
the two.We show that when the viscous effect dominates over inertia, the identification of a (time-dependent) scaling law for the effective viscosity leads to a generalization of the Lucas-Washburn theory and the rescaled trajectories toward equilibrium collapse over the classical 1/2 scaling law....
Land Use Control, the Individual, and Society: Lucas v. South Carolina Coastal CouncilR. M. WashburnMaryland Law Review
the gas mobility is much greater than the liquid mobility11,12. For gas-liquid two phase flow, the expression of the rela- tionship between imbibition rate and the reciprocal of recovery stays the same as equation (1) but those of a0 and b0 are simplified as followsWashburn Law...
The transport process is analyzed within a Darcy scale description, considering a generalized prefactor of the L-W law, termed Lucas-Washburn-Darcy imbibition ability. It assumes a Hagen-Poiseuille velocity profile in the pores and depends on the porosity, the mean pore diameter, the tortuosity ...