Physics – Fluid Dynamics
Scientific paper
2007-08-31
Physics
Fluid Dynamics
4 pages, 4 figures
Scientific paper
10.1103/PhysRevLett.100.044502
In viscous withdrawal, a converging flow imposed in an upper layer of viscous liquid entrains liquid from a lower, stably stratified layer. Using the idea that a thin tendril is entrained by a local straining flow, we propose a scaling law for the volume flux of liquid entrained from miscible liquid layers. A long-wavelength model including only local information about the withdrawal flow is degenerate, with multiple tendril solutions for one withdrawal condition. Including information about the global geometry of the withdrawal flow removes the degeneracy while introducing only a logarithmic dependence on the global flow parameters into the scaling law.
Schmidt Laura E.
Zhang Wendy W.
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