Numerical study of the effect of Navier slip on the driven cavity flow

Handle URI:
http://hdl.handle.net/10754/600262
Title:
Numerical study of the effect of Navier slip on the driven cavity flow
Authors:
He, Qiaolin; Wang, Xiao Ping
Abstract:
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. © 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
Citation:
He Q, Wang X-P (2009) Numerical study of the effect of Navier slip on the driven cavity flow. Z angew Math Mech 89: 857–868. Available: http://dx.doi.org/10.1002/zamm.200900245.
Publisher:
Wiley-Blackwell
Journal:
ZAMM
KAUST Grant Number:
SA-C0040; UK-C0016
Issue Date:
1-Oct-2009
DOI:
10.1002/zamm.200900245
Type:
Article
ISSN:
0044-2267; 1521-4001
Sponsors:
This publication is based on work partially supported by Award No. SA-C0040/UK-C0016, made by King Abdullah University of Science and Technology (KAUST), Hong Kong RGC Central Allocation Grant CA05/06.SC01 and RGC-CERG 603107.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorHe, Qiaolinen
dc.contributor.authorWang, Xiao Pingen
dc.date.accessioned2016-02-28T08:00:15Zen
dc.date.available2016-02-28T08:00:15Zen
dc.date.issued2009-10-01en
dc.identifier.citationHe Q, Wang X-P (2009) Numerical study of the effect of Navier slip on the driven cavity flow. Z angew Math Mech 89: 857–868. Available: http://dx.doi.org/10.1002/zamm.200900245.en
dc.identifier.issn0044-2267en
dc.identifier.issn1521-4001en
dc.identifier.doi10.1002/zamm.200900245en
dc.identifier.urihttp://hdl.handle.net/10754/600262en
dc.description.abstractWe 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. © 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.en
dc.description.sponsorshipThis publication is based on work partially supported by Award No. SA-C0040/UK-C0016, made by King Abdullah University of Science and Technology (KAUST), Hong Kong RGC Central Allocation Grant CA05/06.SC01 and RGC-CERG 603107.en
dc.publisherWiley-Blackwellen
dc.subjectHopf bifurcationen
dc.subjectNaver-Stokes equationen
dc.subjectNavier slip boundary conditionen
dc.titleNumerical study of the effect of Navier slip on the driven cavity flowen
dc.typeArticleen
dc.identifier.journalZAMMen
dc.contributor.institutionDepartment of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kongen
kaust.authorWang, X.-P.en
kaust.grant.numberSA-C0040en
kaust.grant.numberUK-C0016en
kaust.grant.fundedcenterKAUST-HKUST Micro/Nanofluidic Joint Laboratoryen
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