Crynodeb
A generalization of the approach developed in the recent papers by the authors is presented. It aims to provide a description of the Hele-Shaw cell in the presence of multiple small obstacles/moving particles. We perform an asymptotic analysis of the dynamics of the moving boundary and the moving particles. For this, a modification of Maz'ya-Movchan-Nieves uniform asymptotic formula for the Green's function of the mixed boundary value problem for the Laplace equation in a multiply connected domain is utilized. The paper contains extensive numerical analysis, accounting for various physical mechanisms of particle movement in the Hele-Shaw flow.
Iaith wreiddiol | Saesneg |
---|---|
Tudalennau (o-i) | 1041-1055 |
Nifer y tudalennau | 15 |
Cyfnodolyn | Meccanica |
Cyfrol | 51 |
Rhif cyhoeddi | 5 |
Dyddiad ar-lein cynnar | 08 Medi 2015 |
Dynodwyr Gwrthrych Digidol (DOIs) | |
Statws | Cyhoeddwyd - 01 Mai 2016 |