Dye shows the streamlines in water flowing at 1 mm per second between glass plates spaced 1 mm apart. It is a first sight paradoxical that the best way of producing the unseparated pattern of plane potencial flow past a bluff object, which would be spoiled by separation in a real fluid of even the slightest viscosity , is to go to the opposite extreme of creeping flow in a narrow gap, which is dominate by viscous forces. Photograph by D. H. Peregrine.
What is the boundary equation of this Hele-Shaw flow past a circle?
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