Figure 2
From: Evidence for a universal saturation profile for radial viscous fingers
(a–d) The measured saturation profiles (crosses) as a function the radius. In each case, the saturation model (developed below) is shown by the black broken lines. (a) Time series of saturation profiles for the case of constant flow with forcing C* = 12 (see eqn 5 later in text) and gap b = 1.5 mm; the profiles are separated by an interval of 2.5 s. (b) Time series of saturation profiles with constant pressure injection, ΔP = 1.25 atm (ref.3), with profiles separated by an interval of 2 s. (c) Time series of saturation profiles for injection with a linearly increasing flow rate with forcing C* = 0.19 (eqn 5) and gap width b = 1.0 mm, with profiles separated by an interval of 0.75 s. (d) Saturation profiles of a particle cluster formed in a numerical DLA calculation with the number of particles released for each profile shown in the legend. Here the radius is scaled with the particle radius. (e) A cartoon to illustrate the three regions in the saturation profile, and the bounding radii rb < rf < rt. (f) Circles with the bounding radii rb, rf, and rt superimposed over a photograph of the fingers in an experiment.
