کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1898698 | 1534058 | 2011 | 8 صفحه PDF | دانلود رایگان |
It is well-known that in the framework of the internal Hele-Shaw problem the fluid cannot be fully removed through a single point sink because of a cusp formation occurring prior to the moving boundary reaching the sink unless the initial domain is a circle with a sink located in its center. We give a definition of a dynamical mother body and use it for developing an algorithm of complete removal of a fluid droplet having an algebraic boundary. To illustrate our theory we consider examples where fluid can be completely removed through the sinks distributed along arcs of curves and/or points.
► Formation of cusps is typical for Hele-Shaw problems.
► Only a circular droplet can be completely removed through a point sink.
► We introduce a special dynamics for the internal Hele-Shaw problem.
► We describe a way to avoid the formation of any kinds of singularities.
Journal: Physica D: Nonlinear Phenomena - Volume 240, Issues 14–15, 15 July 2011, Pages 1156–1163