Diffuse-interface effects near a cusp singularity on a free surface.
Cusp singularity on a free surface of a viscous fluid driven by a vortex dipole is resolved through nanoscale molecular interactions. The cusp is formed at finite capillary number due to a decrease of surface tension caused by conjoining interaction near the cusp. The related effects of cusp geometry are weak Marangoni flow, vapor condensation, and a slight decrease of liquid density near the cusp creating a depletion tail downstream.
Pismen
L M
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Department of Chemical Engineering and Minerva Center for Nonlinear Physics of Complex Systems, Technion-Israel Institute of Technology, 32000 Haifa, Israel.