Theoretical prediction of turbulent skin friction on geometrically complex surfaces

Pierre Sagaut; Yulia Peet

doi:10.1007/978-90-481-9603-6_5

Theoretical prediction of turbulent skin friction on geometrically complex surfaces

Pierre Sagaut, Yulia Peet

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Scopus citations

Abstract

This article can be considered as an extension of the paper of Fukagata et al. (Phys. Fluids 14:L73, 2002) who derived an analytical expression for the componential contributions into skin friction in a turbulent channel, pipe and plane boundary layer flows. In this paper, we extend theoretical analysis of Fukagata et al. limited to canonical cases with two-dimensional mean flow to a fully three-dimensional situation allowing complex wall shapes. We start our analysis by considering arbitrarily-shaped surfaces and then formulate a restriction on a surface shape for which the current analysis is valid. Theoretical formula for skin friction coefficient is thus given for streamwise and spanwise homogeneous surfaces of any shape, as well as some more complex configurations, including spanwise-periodic wavy patterns. Current theoretical analysis is validated using the results of Large Eddy Simulations of a turbulent flow over straight and wavy riblets with triangular and knife-blade cross-sections. Decomposition of skin friction into different componential contributions allows to analyze the influence of different dynamical effects on a drag modification by riblet-covered surfaces.

Original language	English (US)
Title of host publication	Progress in Wall Turbulence
Subtitle of host publication	Understanding and Modeling - Proceedings of the WALLTURB International Workshop, 2009
Editors	Michel Stanislas, Javier Jimenez, Ivan Marusic
Publisher	Springer Netherland
Pages	39-49
Number of pages	11
ISBN (Print)	9789048196029
DOIs	https://doi.org/10.1007/978-90-481-9603-6_5
State	Published - 2011
Externally published	Yes
Event	International Workshop on Understanding and Modelling of Wall Turbulence, 2009 - Lille, France Duration: Apr 21 2009 → Apr 23 2009

Publication series

Name	ERCOFTAC Series
Volume	14
ISSN (Print)	1382-4309
ISSN (Electronic)	2215-1826

Other

Other	International Workshop on Understanding and Modelling of Wall Turbulence, 2009
Country/Territory	France
City	Lille
Period	4/21/09 → 4/23/09

ASJC Scopus subject areas

Fluid Flow and Transfer Processes
Computational Mathematics

Access to Document

10.1007/978-90-481-9603-6_5

Cite this

Sagaut, P., & Peet, Y. (2011). Theoretical prediction of turbulent skin friction on geometrically complex surfaces. In M. Stanislas, J. Jimenez, & I. Marusic (Eds.), Progress in Wall Turbulence: Understanding and Modeling - Proceedings of the WALLTURB International Workshop, 2009 (pp. 39-49). (ERCOFTAC Series; Vol. 14). Springer Netherland. https://doi.org/10.1007/978-90-481-9603-6_5

Theoretical prediction of turbulent skin friction on geometrically complex surfaces. / Sagaut, Pierre; Peet, Yulia.
Progress in Wall Turbulence: Understanding and Modeling - Proceedings of the WALLTURB International Workshop, 2009. ed. / Michel Stanislas; Javier Jimenez; Ivan Marusic. Springer Netherland, 2011. p. 39-49 (ERCOFTAC Series; Vol. 14).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Sagaut, P & Peet, Y 2011, Theoretical prediction of turbulent skin friction on geometrically complex surfaces. in M Stanislas, J Jimenez & I Marusic (eds), Progress in Wall Turbulence: Understanding and Modeling - Proceedings of the WALLTURB International Workshop, 2009. ERCOFTAC Series, vol. 14, Springer Netherland, pp. 39-49, International Workshop on Understanding and Modelling of Wall Turbulence, 2009, Lille, France, 4/21/09. https://doi.org/10.1007/978-90-481-9603-6_5

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note = "Funding Information: Dr. Yves Charon (IFP, France) is gratefully acknowledged for many enlightening discussions. This project was supported by ANR as project ANR-PANH-READY. Publisher Copyright: {\textcopyright} Springer Science+Business Media B.V. 2011.; International Workshop on Understanding and Modelling of Wall Turbulence, 2009 ; Conference date: 21-04-2009 Through 23-04-2009",

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PY - 2011

Y1 - 2011

N2 - This article can be considered as an extension of the paper of Fukagata et al. (Phys. Fluids 14:L73, 2002) who derived an analytical expression for the componential contributions into skin friction in a turbulent channel, pipe and plane boundary layer flows. In this paper, we extend theoretical analysis of Fukagata et al. limited to canonical cases with two-dimensional mean flow to a fully three-dimensional situation allowing complex wall shapes. We start our analysis by considering arbitrarily-shaped surfaces and then formulate a restriction on a surface shape for which the current analysis is valid. Theoretical formula for skin friction coefficient is thus given for streamwise and spanwise homogeneous surfaces of any shape, as well as some more complex configurations, including spanwise-periodic wavy patterns. Current theoretical analysis is validated using the results of Large Eddy Simulations of a turbulent flow over straight and wavy riblets with triangular and knife-blade cross-sections. Decomposition of skin friction into different componential contributions allows to analyze the influence of different dynamical effects on a drag modification by riblet-covered surfaces.

AB - This article can be considered as an extension of the paper of Fukagata et al. (Phys. Fluids 14:L73, 2002) who derived an analytical expression for the componential contributions into skin friction in a turbulent channel, pipe and plane boundary layer flows. In this paper, we extend theoretical analysis of Fukagata et al. limited to canonical cases with two-dimensional mean flow to a fully three-dimensional situation allowing complex wall shapes. We start our analysis by considering arbitrarily-shaped surfaces and then formulate a restriction on a surface shape for which the current analysis is valid. Theoretical formula for skin friction coefficient is thus given for streamwise and spanwise homogeneous surfaces of any shape, as well as some more complex configurations, including spanwise-periodic wavy patterns. Current theoretical analysis is validated using the results of Large Eddy Simulations of a turbulent flow over straight and wavy riblets with triangular and knife-blade cross-sections. Decomposition of skin friction into different componential contributions allows to analyze the influence of different dynamical effects on a drag modification by riblet-covered surfaces.

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Theoretical prediction of turbulent skin friction on geometrically complex surfaces

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