Slow viscous migration of bubbles near a plane solid wall under a gravity and/or external flow field.
Résumé
A new boundary-integral method is advocated to compute at a reasonable cpu time cost the slow viscous motion of a N-bubble cluster immersed near a plane solid boundary in a gravity field and/or an external flow field. 3N relevant boundary-integral equations on the cluster�s surface are established and numerically inverted by implementing a boundary element technique. The resulting numerical results are presented and discussed for a single bubble and a 2-bubble cluster subject to the gravity or external linear and quadratic shear flows.