Low Reynolds number deformation of compound drops in shear flow | Zendy

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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.

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