Transient turbulent friction in fully rough pipe flows

A.E. Vardy; J. M. B. Brown

doi:10.1016/S0022-460X(03)00492-9

Transient turbulent friction in fully rough pipe flows

A.E. Vardy
, J. M. B. Brown

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

167 Citations (Scopus)

Abstract

A weighting-function model of unsteady skin friction in fully rough-walled flows in one-dimensional ducts is derived using an idealized radial viscosity distribution. The model complements previous work by the authors for smooth-walled flows. It is assumed that, for sufficiently short-lived transients, the viscosity distribution in the cross-section may be regarded as constant and equal to that in a pre-existing steady flow. The eddy viscosity in an outer annulus is assumed to vary linearly from a minimum at the wall to a maximum at the edge of a central core of uniform viscosity. The resulting weighting-function model for short-lived transients is used to develop a simple formula predicting values of unsteady skin friction coefficients suitable for an instantaneous-acceleration model of unsteady skin friction in fully rough pipe flows.

Original language	English
Pages (from-to)	233 - 257
Journal	Journal of Sound and Vibration
Volume	270
Issue number	1-2
DOIs	https://doi.org/10.1016/S0022-460X(03)00492-9
Publication status	Published - 6 Feb 2004

Access to Document

10.1016/S0022-460X(03)00492-9

Cite this

@article{70b23baafd814ae583474eb278602aab,

title = "Transient turbulent friction in fully rough pipe flows",

abstract = "A weighting-function model of unsteady skin friction in fully rough-walled flows in one-dimensional ducts is derived using an idealized radial viscosity distribution. The model complements previous work by the authors for smooth-walled flows. It is assumed that, for sufficiently short-lived transients, the viscosity distribution in the cross-section may be regarded as constant and equal to that in a pre-existing steady flow. The eddy viscosity in an outer annulus is assumed to vary linearly from a minimum at the wall to a maximum at the edge of a central core of uniform viscosity. The resulting weighting-function model for short-lived transients is used to develop a simple formula predicting values of unsteady skin friction coefficients suitable for an instantaneous-acceleration model of unsteady skin friction in fully rough pipe flows.",

author = "A.E. Vardy and Brown, \{J. M. B.\}",

year = "2004",

month = feb,

day = "6",

doi = "10.1016/S0022-460X(03)00492-9",

language = "English",

volume = "270",

pages = "233 -- 257",

journal = "Journal of Sound and Vibration",

issn = "0022-460X",

publisher = "Academic Press",

number = "1-2",

}

TY - JOUR

T1 - Transient turbulent friction in fully rough pipe flows

AU - Vardy, A.E.

AU - Brown, J. M. B.

PY - 2004/2/6

Y1 - 2004/2/6

N2 - A weighting-function model of unsteady skin friction in fully rough-walled flows in one-dimensional ducts is derived using an idealized radial viscosity distribution. The model complements previous work by the authors for smooth-walled flows. It is assumed that, for sufficiently short-lived transients, the viscosity distribution in the cross-section may be regarded as constant and equal to that in a pre-existing steady flow. The eddy viscosity in an outer annulus is assumed to vary linearly from a minimum at the wall to a maximum at the edge of a central core of uniform viscosity. The resulting weighting-function model for short-lived transients is used to develop a simple formula predicting values of unsteady skin friction coefficients suitable for an instantaneous-acceleration model of unsteady skin friction in fully rough pipe flows.

AB - A weighting-function model of unsteady skin friction in fully rough-walled flows in one-dimensional ducts is derived using an idealized radial viscosity distribution. The model complements previous work by the authors for smooth-walled flows. It is assumed that, for sufficiently short-lived transients, the viscosity distribution in the cross-section may be regarded as constant and equal to that in a pre-existing steady flow. The eddy viscosity in an outer annulus is assumed to vary linearly from a minimum at the wall to a maximum at the edge of a central core of uniform viscosity. The resulting weighting-function model for short-lived transients is used to develop a simple formula predicting values of unsteady skin friction coefficients suitable for an instantaneous-acceleration model of unsteady skin friction in fully rough pipe flows.

U2 - 10.1016/S0022-460X(03)00492-9

DO - 10.1016/S0022-460X(03)00492-9

M3 - Article

SN - 0022-460X

VL - 270

SP - 233

EP - 257

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

IS - 1-2

ER -

Transient turbulent friction in fully rough pipe flows

Abstract

Access to Document

Fingerprint

Cite this