Table 4 Surface geometry and liquid parameters used in experiments and simulations.

From: Rough capillary rise

System

r

f

ϕ

δ/P

λc/P

P

SQ1

2.61

0.87

0.34

0.46

3.82

Exp.: 708.5 μm

      

Sim.: 40 L.U.

SQ2

2.61

0.87

0.33

0.47

7.67

Sim.: 40 L.U.

CY1

3.17

0.90

0.33

0.71

3.96

Exp.: 458 μm

      

Sim.: 32 L.U.

      

Sim. 4 × : 128 L.U.

  1. The system label ‘SQ’ refer to a square array of square pillars, ‘CY’ refers to a square array of cylindrical pillars. The listed parameters are: the roughness r, wetted area fraction f, area fraction ϕ, average roughness depth δ, capillary length of the liquid λc, and pitch length P. All parameters are defined precisely in the text. In the pitch length P column, experimental pitch lengths are indicated ‘Exp.’, and simulations ‘Sim.’, where ‘L.U.’ refers to lattice units (1 L.U. is 1 grid spacing).
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