This paper extends the resolvent formalism for wall turbulence to account for the effect of streamwise-constant riblets. Under the resolvent formulation, the Navier–Stokes equations are interpreted as a forcing-response system: the nonlinear convective term is interpreted as a feedback forcing on the remaining linear terms, which generates a velocity and pressure response. A gain-based decomposition of the linear forcing-response transfer function—the resolvent operator—yields highly amplified velocity and pressure modes, which can be considered key building blocks of the turbulent flow field. Previous work has shown that these high-gain modes provide substantial insight into turbulence statistics, structure, and control of smooth-walled flows. To introduce the effect of riblets within this framework, a linear spatially varying body force is added to the governing equations. In other words, volume penalization is used to approximate the surface features. Predictions for spanwise-periodic and streamwise-constant riblets show that specific high-gain modes identified from the modified governing equations reproduce observations made in prior direct numerical simulations with limited computation. The deterioration in performance with increasing riblet size is predicted well and so is the emergence of spanwise rollers resembling Kelvin–Helmholtz vortices. This new modeling framework is also used to pursue limited riblet shape optimization.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Resolvent Analysis for Turbulent Channel Flow with Riblets


    Beteiligte:
    Chavarin, Andrew (Autor:in) / Luhar, Mitul (Autor:in)

    Erschienen in:

    AIAA Journal ; 58 , 2 ; 589-599


    Erscheinungsdatum :

    2019-06-28


    Format / Umfang :

    11 pages




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




    Turbulent Channel Flow with Riblets in Drag Reducing and Drag Increasing Regimes

    Zhang, Yue / Cai, Jinsheng / Li, Wenfeng | TIBKAT | 2022


    Turbulent Channel Flow With Riblets In Drag Reducing And Drag Increasing Regimes

    Zhang, Yue / Cai, Jinsheng / Li, Wenfeng | AIAA | 2022


    Structure and statistics of turbulent flow over riblets

    HENDERSON, R. / CRAWFORD, C. / KARNIADAKIS, G. | AIAA | 1993


    Wavy riblets for turbulent drag reduction

    Kramer, Felix / Grueneberger, Rene / Thiele, Frank et al. | AIAA | 2010


    Turbulent Drag Reduction by Oscillating Riblets

    Wassen, Erik / Kramer, Felix / Thiele, Frank et al. | AIAA | 2008