Fig. 2: The variation of the rough capillary rise heights with plate separation, compared between experiments, simulation, and theory.
From: Rough capillary rise
a Examples of the three regimes of rough capillary rise on system SQ1, a square-pillared system with water as the rising liquid (capillary length λc = 2.7 mm) and contact angle θ = 58°. Full images are simulation results, with insets showing magnifications of equivalent experimental systems on the region of interest. Scale bars = 1 mm. b Plot of the variation in the rise heights with plate separation d (normalised relative to the roughness depth δ) for system SQ1, where δ = 326 μm, separated into the three regimes. The capillary rise C, meniscus M, hemiwicking H, and total liquid height T, are labelled. Experimental data are shown as filled circles, with horizontal error bars indicating measured separation uncertainty, ±50 μm, and vertical error bars the ±1 post pinning uncertainty, ±709 μm. Simulation data are shown as empty triangles with vertical error bars indicating the ±1 post pinning uncertainty. Data at the extreme right indicate the rise heights on a single plate, equivalent to infinite plate separation. The Dual-Rise predictions are shown as lines. c Example images of the three regimes of rough capillary rise on system CY1, a cylindrically-pillared system with dodecane as the rising liquid (capillary length λc = 1.8 mm), and contact angle θ = 0°. Scale bars = 1 mm. d Plot of the variation in the rise heights with plate separation for system CY1, where δ = 325 μm. The shaded region indicates where the separation uncertainty (horizontal error bars) in the experimental data becomes large. The vertical ± 1 post pinning uncertainty is ±458 μm.
