Premium
Low Reynolds number deformation of compound drops in shear flow
Author(s) -
Power Henry
Publication year - 1993
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.1670160106
Subject(s) - reynolds number , mathematics , shear flow , reynolds equation , deformation (meteorology) , drop (telecommunication) , shear (geology) , mechanics , flow (mathematics) , mathematical analysis , geometry , physics , materials science , composite material , turbulence , computer science , telecommunications
The method developed by Rallison and Acrivos (1978) to solve the deformation of a single drop due to exterior shear flow for a small Reynolds number is extended to the problem of the deformation of a compound drop. The result is found in terms of a Fredholm integral equation of the second kind, which is shown to have a unique solution and the solution is given by means of a uniformly convergent Neumann series.