Evaluation of Unsteady Wall Shear Stress by Zielke's Method

Alan E. Vardy; Jim M.B. Brown

doi:10.1061/(ASCE)HY.1943-7900.0000192

Evaluation of Unsteady Wall Shear Stress by Zielke's Method

Alan E. Vardy, Jim M.B. Brown

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

18 Citations (Scopus)

Abstract

The method used in the classical paper by Zielke to estimate the unsteady component of shear stress in unsteady pipe flows is revisited. It is found that the method is undesirably sensitive to the size of the integration time step. The sensitivity is shown to be caused dominantly by the first term in the integration when inadequate allowance is made for the infinite value of the weighting function. A simple method of avoiding the error without requiring the use of small grid sizes is presented.

Original language	English
Pages (from-to)	453-456
Number of pages	4
Journal	Journal of Hydraulic Engineering
Volume	136
Issue number	7
DOIs	https://doi.org/10.1061/(ASCE)HY.1943-7900.0000192
Publication status	Published - Jul 2010

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10.1061/(ASCE)HY.1943-7900.0000192

18 Citations
1 Comment/debate

Closure to "Evaluation of unsteady wall shear stress by Zielke's method" by Alan E. Vardy and Jim M. B. Brown
Vardy, A. E. & Brown, J. M. B., May 2013, In: Journal of Hydraulic Engineering. 139, 5, p. 565-566 2 p.
Research output: Contribution to journal › Comment/debate › peer-review

1 Citation (Scopus)

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title = "Evaluation of Unsteady Wall Shear Stress by Zielke's Method",

abstract = "The method used in the classical paper by Zielke to estimate the unsteady component of shear stress in unsteady pipe flows is revisited. It is found that the method is undesirably sensitive to the size of the integration time step. The sensitivity is shown to be caused dominantly by the first term in the integration when inadequate allowance is made for the infinite value of the weighting function. A simple method of avoiding the error without requiring the use of small grid sizes is presented.",

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AB - The method used in the classical paper by Zielke to estimate the unsteady component of shear stress in unsteady pipe flows is revisited. It is found that the method is undesirably sensitive to the size of the integration time step. The sensitivity is shown to be caused dominantly by the first term in the integration when inadequate allowance is made for the infinite value of the weighting function. A simple method of avoiding the error without requiring the use of small grid sizes is presented.

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Evaluation of Unsteady Wall Shear Stress by Zielke's Method

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Closure to "Evaluation of unsteady wall shear stress by Zielke's method" by Alan E. Vardy and Jim M. B. Brown

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