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Coalescence of Two Viscous Cylinders by Capillarity: Part I, Theory
Author(s) -
Hopper Robert W.
Publication year - 1993
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.1151-2916.1993.tb06594.x
Subject(s) - coalescence (physics) , viscous liquid , surface tension , stokes flow , parametric statistics , mathematical analysis , classical mechanics , mathematics , mechanics , physics , differential equation , flow (mathematics) , thermodynamics , statistics , astrobiology
The creeping plane flow of two viscous cylinders coalescing under the influence of surface tension is described theoretically in a series of three articles. Part I is a theoretical overview. The physical assumptions affecting applicability of the theory are discussed. The shape as a function of time and of the initial diameter ratio D ≥ 1 is given in parametric form. For D = 1 and D ∞, the shape sequences are known exactly; for finite D > 1, a first‐order differential equation is solved numerically. The time requires a quadrature. This is accurate, and easier than solving the fluid‐dynamical field equations. The theory encompasses time‐dependent liquid properties.