Fig. 6: Phase diagram for measured characteristics of the invasion patterns.
From: Flow-to-fracture transition and pattern formation in a discontinuous shear thickening fluid
Each plot has the same axes and are in a logarithmic scale, with the invasion pressure P against the filling fraction difference Δϕ. a The experimental data for branch width w normalised within a blue colour space. b The experimental data for the branch frequency D normalised within a red colour space. c The experimental data for the branch speed vtip normalised within a green colour space. d Samples of patterns formed at varying P and Δϕ. Volume fractions are reported in brackets below the corresponding values of Δϕ. The sample patterns presented are to scale, the diameter of their image equivalent to Hele-Shaw cell diameter of 20 cm. Background plot of d represents the combined normalised experimental data from a to c in a three-dimensional RGB colour space. Similar pattern morphologies correspond to similar colours. Three phases are noted, fracturing (Fr), dendritic fracturing (DFr), and viscous fingering (VF).
