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The capillary contact angle, II: The inclined plane
Author(s) -
Finn Robert,
Shinbrot Marvin
Publication year - 1988
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670100206
Subject(s) - inclined plane , mathematics , perturbation (astronomy) , liquid drop , capillary action , plane (geometry) , series (stratigraphy) , horizontal plane , geometry , contact angle , symmetry (geometry) , drop (telecommunication) , surface (topology) , mathematical analysis , mechanics , physics , geology , thermodynamics , paleontology , telecommunications , quantum mechanics , computer science
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 B 0 , such that a further increase in B would result in the fluid penetrating the support surface; thus an absolute upper bound B 0 , for stability of the envisaged configuration is obtained.