On stability of a catenoidal liquid bridge
We derive a stability criterion for a catenoidal liquid bridge making contact angles \(\gamma_1\) and \(\gamma_2\) with two parallel plates. We show that for the case of equal contact angles \(\gamma_1= \gamma_2= \gamma\) the stability and instability sets are connected on the interval of admissible \(\gamma\). We also give an example showing that for unequal contact angles, the family of stable catenoidal drops with one contact angle fixed can be disconnected with respect to the other angle. Finally, we give a complete description of the stability and instability sets for various contact angles.
scientific article; zbMATH DE number 950240
scientific article