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The Rolling Motion of A Viscous Fluid On and Off a Rigid Surface
Author(s) -
Benney D. J.,
Timson W. J.
Publication year - 1980
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm198063293
Subject(s) - viscous liquid , mechanics , free surface , surface (topology) , capillary action , motion (physics) , flow (mathematics) , capillary surface , fluid motion , classical mechanics , boundary (topology) , point (geometry) , fluid dynamics , physics , field (mathematics) , geometry , mathematics , mathematical analysis , thermodynamics , pure mathematics
An analytical solution is obtained for the local flow field near a point of steady attachment to or detachment from a rigid boundary. The possible free surface shapes depend on the capillary number.