“…While the 1D model describes capillary pressure in both, hydrophobic and hydrophilic valves, more complex 2D and 3D models address hydrophilic valves only [4, 16, 24]. Numerous variations of these 1D, 2D, and 3D models include modified 1D equations that consider the capillary pressure difference at the inlet and outlet of a channel [30, 32], modified 1D equations that take into account the heterogeneity of the channel surfaces [3, 8, 20, 22], and models that include the channel opening wedge angle β in the 1D equation [7, 11]. …”