The capillary contact angle,II: The inclined plane

In an earlier paper an hypothesis on the nature of the forces resisting motion of a liquid drop on a support surface II was introduced and tested in the (rotationally symmetric) case for which ll is a horizontal plane. In the present work II is chosen as an inclined plane, so that rotational symmetry fails. The hypothesis leads to a formal series development; in a restricted case the result is verified by a perturbation analysis, which yields the identical series. The series predictions are compared with results of computer calculations. A consequence of the analysis is an estimate for a Bohd number B₀, such that a further increase in B would result in the fluid penetrating the support surface; thus an absolute upper bound B₀, for stability of the envisaged configuration is obtained.