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Lamb's Slip Hypothesis — Revisited for Torsional and Cone‐plate Flow
Author(s) -
Brunn P.O.,
Ryssel E.
Publication year - 1999
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/(sici)1521-4001(199907)79:7<485::aid-zamm485>3.0.co;2-w
Subject(s) - slipping , slip (aerodynamics) , slip line field , mechanics , angular velocity , instability , physics , shear stress , classical mechanics , geometry , shear (geology) , mathematics , geology , petrology , thermodynamics
In this paper Lamb's original idea that “slipping is resisted by a tangential force”, i.e., a proportionality between slip velocity u S and wall shear stress τ is scrutinized for torsional and cone‐plate flow, respectively. While the concept itself does indeed allow far more general dependencies than u S ∝ r (which characterizes the angular slip velocity concept) it seems that neither concept can account with reality. Experimentally, the onset of slip for these flows seems to go hand in hand with the onset of instability, at least with the loss of axial symmetry.