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Seventh International Symposium on Turbulence and Shear Flow Phenomena
July, 28-31, 2011, Ottawa Convention Centre, Ottawa, Canada

DOI: 10.1615/TSFP7

RESPONSE OF THE LINEARISED NAVIER-STOKES EQUATIONS: GENERATION OF NEAR-WALL STREAKS

pages 1-6
DOI: 10.1615/TSFP7.1240
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ABSTRACT

The near-wall streaks of a turbulent boundary layer are investigated using a modified version of a Low-Order Model (LOM) (Lockerby et al., 2005; Carpenter et al., 2007), which is based on the linearised Navier-Stokes equations (LNSE). The sensitivity of the LOM to the form of the source/forcing term that generates the streaks is explored. The response of the LNSE is gauged by a spatial energy-related norm, and the results are summarized on response maps containing the maximum temporal values of the response for different spanwise modes, evaluated at different wall-normal positions. All results are qualitatively similar, regardless of the form of vorticity source employed, and agree well with existing literature on streak characteristics; however, close quantitative agreement between the responses of the different forms of source term is not found. Finally, an alternative and more convenient approach is proposed that simplifies the interpretation and use of the LOM.

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