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

Qiaolin He; Xiao Ping Wang

doi:10.1002/zamm.200900245

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

Qiaolin He, Xiao Ping Wang

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

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.

Original language	English (US)
Pages (from-to)	857-868
Number of pages	12
Journal	ZAMM
Volume	89
Issue number	10
DOIs	https://doi.org/10.1002/zamm.200900245
State	Published - Oct 1 2009
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): SA-C0040, UK-C0016
Acknowledgements: 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.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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title = "Numerical study of the effect of Navier slip on the driven cavity flow",

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. {\textcopyright} 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.",

author = "Qiaolin He and Wang, {Xiao Ping}",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): SA-C0040, UK-C0016 Acknowledgements: 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. This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

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AU - He, Qiaolin

AU - Wang, Xiao Ping

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): SA-C0040, UK-C0016 Acknowledgements: 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. This publication acknowledges KAUST support, but has no KAUST affiliated authors.

PY - 2009/10/1

Y1 - 2009/10/1

N2 - 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.

AB - 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.

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

Abstract

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