Fig. 3: Distribution of viscous dissipation in the wetting ridge on lubricated surfaces with and without pillars.
From: Direct visualization of viscous dissipation and wetting ridge geometry on lubricant-infused surfaces

a–e Throughout this figure, the lubricant is 10 times more viscous than the drop and all simulations are in 3D. a, b Dissipation heatmaps on a lubricated surface with pillars (Ca ≈ 0.17) and without pillars (Ca ≈ 0.19), respectively. The heatmaps correspond to vertical slices taken across the center of mass of the drop. In both (a) and (b), the same force is applied to the drop (Bo = 0.6) and the initial lubricant thickness is the same (equal to the pillar height in a). In the colorbar, Pdiss is normalized by the power per unit volume supplied to move the drop, Pin = fv. c Schematic showing how the 5 different dissipation zones are defined. d, e Percentage dissipation in the different zones of the wetting ridge (as defined in c) relative to the total dissipation in the lubricant on surfaces with and without pillars, respectively. On average, across the different Ca, zones 2 and 4 dissipate the most energy, followed by zones 1 and 5. Dissipation in zone 3 is typically < 10%. In (d) and (e), the error bars correspond to the standard deviation of the dissipation measured over several frames (typically 9) as the drop moves on the surface.