Fig. 2: Experiments, numerics and models for liquid elevation inside regularly arranged spines.
From: 3D-printed spines for programmable liquid topographies and micromanipulation
a Measured height at meniscus h and between spines hv of water in square lattice as a function of the unit area A. Experimental and numerical results are presented. Spines' characteristics are R = 0.2 mm and α = 1.15° and the bath level is h0 = 0 mm. The orange and purple curves are predictions of Eq. (6) and (7) respectively. The red region is the region over which the superposition approximation is no longer valid. The green curve represents \(\overline{h}\), the solution from Eq. (9), the force balance model. b Elevations h and hv of the interface in a square lattice as a function of the spine radius R when α = 3°, A = 2.25 mm2 and h0=1 mm. c Height h and hv as a function of the angle α for spines of radius R = 0.5 mm, lattice spacing A = 2.25 mm2, and bath level h0 = 1 mm.
