Theoretical prediction of turbulent skin friction on geometrically complex surfaces

Yulia Peet, Pierre Sagaut

Research output: Contribution to journalArticle

39 Citations (Scopus)

Abstract

This article can be considered as an extension of the paper of Fukagata [Phys. Fluids 14, L73 (2002)] which derived an analytical expression for the constituent contributions to skin friction in a turbulent channel, pipe, and plane boundary layer flows. In this paper, we extend the theoretical analysis of Fukagata (formerly 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. A 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. The 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 constituent contributions allows us to analyze the influence of different dynamical effects on a skin friction modification by riblet-covered surfaces.

Original languageEnglish (US)
Article number105105
JournalPhysics of Fluids
Volume21
Issue number10
DOIs
StatePublished - 2009
Externally publishedYes

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skin friction
Skin friction
riblets
predictions
boundary layer flow
Boundary layer flow
Large eddy simulation
large eddy simulation
blades
turbulent flow
coefficient of friction
Turbulent flow
constrictions
Pipe
Decomposition
decomposition
Fluids
fluids
cross sections
configurations

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Theoretical prediction of turbulent skin friction on geometrically complex surfaces. / Peet, Yulia; Sagaut, Pierre.

In: Physics of Fluids, Vol. 21, No. 10, 105105, 2009.

Research output: Contribution to journalArticle

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