Theoretical prediction of turbulent skin friction on geometrically complex surfaces

Pierre Sagaut, Yulia Peet

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations


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 languageEnglish (US)
Title of host publicationProgress in Wall Turbulence
Subtitle of host publicationUnderstanding and Modeling - Proceedings of the WALLTURB International Workshop, 2009
EditorsMichel Stanislas, Javier Jimenez, Ivan Marusic
PublisherSpringer Netherland
Number of pages11
ISBN (Print)9789048196029
StatePublished - 2011
Externally publishedYes
EventInternational Workshop on Understanding and Modelling of Wall Turbulence, 2009 - Lille, France
Duration: Apr 21 2009Apr 23 2009

Publication series

ISSN (Print)1382-4309
ISSN (Electronic)2215-1826


OtherInternational Workshop on Understanding and Modelling of Wall Turbulence, 2009

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Computational Mathematics


Dive into the research topics of 'Theoretical prediction of turbulent skin friction on geometrically complex surfaces'. Together they form a unique fingerprint.

Cite this