On unique solutions for steady-state fingering in a porous medium
H.D. Outmans · Journal of Geophysical Research Atmospheres · 1963
Existing indeterminate solutions of the equations of motion for unstable two-dimensional displacements approaching a steady state are based on the consideration of the propagation of one single viscous finger through a channel of fixed width. The equations become unique if, instead of one finger, an arbitrary number of equal and equally spaced fingers occupy the channel. The unique solutions, which are also valid for the special case of one finger in the channel, agree with experimental data.