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Coalescence of Two Equal Cylinders: Exact Results for Creeping Viscous Plane Flow Driven by Capillarity
Author(s) -
Hopper Robert W.
Publication year - 1984
Publication title -
journal of the american ceramic society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.9
H-Index - 196
eISSN - 1551-2916
pISSN - 0002-7820
DOI - 10.1111/j.1151-2916.1984.tb19692.x
Subject(s) - coalescence (physics) , stokes flow , planar , mechanics , plane (geometry) , cylinder , viscous flow , flow (mathematics) , viscous liquid , classical mechanics , physics , materials science , geometry , mathematics , computer science , computer graphics (images) , astrobiology
The coalescence of two equal viscous cylinders under the influence of capillarity is of interest in the theory of sintering. Although the flow in typical cylinder coalescence experiments is not planar, the plane‐flow case is of general interest and is a good approximation in the early stage. An essentially exact analytic solution giving the shape as a function of time for slow plane flow is presented in simple closed form.