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A note on the separation of slow viscous flow near a sharp edge
Author(s) -
Smith S. H.
Publication year - 1997
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300012572
Subject(s) - biharmonic equation , streamlines, streaklines, and pathlines , mathematics , enhanced data rates for gsm evolution , flow (mathematics) , vorticity , geometry , viscous flow , simple (philosophy) , stokes flow , mathematical analysis , mechanics , vortex , physics , boundary value problem , computer science , telecommunications , philosophy , epistemology
A particular solution to the biharmonic equation is described which represents a slow viscous flow near a sharp edge. It shows separation streamlines which are tangential to the plate at the edge, when the dominant behaviour there is a combination of the flow around the edge (which provides zero vorticity on the plate) plus a simple linear shear.