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Numerical study of the effect of Navier slip on the driven cavity flow
Author(s) -
He Q.,
Wang X.P.
Publication year - 2009
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/zamm.200900245
Subject(s) - reynolds number , slip (aerodynamics) , mechanics , hopf bifurcation , mathematics , bifurcation , boundary value problem , reynolds equation , singularity , geometry , mathematical analysis , physics , thermodynamics , turbulence , nonlinear system , quantum mechanics
We study the driven cavity flow using the Navier slip boundary condition. Our results have shown that the Navier slip boundary condition removes the corner singularity induced by the no‐slip boundary condition. In the low Reynolds number case, the behavior of the tangential stress is examined and the results are compared with the analytic results obtained in [14]. For the high Reynolds number, we study the effect of the slip on the critical Reynolds number for Hopf bifurcation. Our results show that the first Hopf bifurcation critical Reynolds number is increasing with slip length.