(seeFig. 1). As detailed in Discussion, this type of capillary rise, which includes the imbibition of textured surfaces as well as rectangular open channels, is associated with the growth of a large free liquid-air interface as a result of the imbibition and this feature introduces highly ...
This is just an idea, but perhaps formula 1) came from this derivation, putting the up and downward forces equal πr2hρg=Tcosθ2πr(2)(2)πr2hρg=Tcosθ2πr where the left rr will later be replaced with aa and the right rr replaced with bb, alt...