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    Form-induced stress in turbulent flow over riblets
    Modesti, D ; Endrikat, S ; García-Mayoral, R ; Hutchins, N ; Chung, D (Australasian Fluid Mechanics Society, 2018-01-01)
    We carry out direct numerical simulation of minimal openchannel flow over riblets. Several riblet geometries are simulated, namely symmetric triangular, asymmetric triangular, blade and trapezoidal, and with this unprecedented high-fidelity dataset, we are able to obtain broad insights into the flow physics of riblets. We find that the roughness sublayer thickness, above which the flow is statistically homogeneous, is proportional to the square root of the riblet groove cross-sectional area ℓ+ g in both the drag-reducing and the drag-increasing regime, consistent with the ability of this parameter to collapse the roughness function corresponding to different groove geometries. Large grooves are associated with mean secondary velocities and they carry additional stress that contributes up to 40% of the total shear stress at the crest, comparable to the contribution from the turbulent fluctuations.
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    Kelvin–Helmholtz rollers in turbulent flow over riblets
    Endrikat, S ; Modesti, D ; García-Mayoral, R ; Hutchins, N ; Chung, D (Australasian Fluid Mechanics Society, 2018-01-01)
    Structures resulting from a Kelvin–Helmholtz instability have been shown to contribute to skin-friction drag in turbulent flow over blade-shaped riblets [4]. Using Direct Numerical Simulation (DNS) data, the present survey of several different riblet shapes reveals that the contribution to wall-shear stress due to the Kelvin–Helmholtz instability depends on riblet shape, in addition to a previously known dependence on riblet size. For a given drag change, sharp triangular and blade riblets promote development of the instability whilst blunt triangular and trapezoidal riblets appear to suppress it.
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    Direct Numerical Simulations of Turbulent Flow Over Various Riblet Shapes in Minimal-Span Channels
    Endrikat, S ; Modesti, D ; MacDonald, M ; Garcia-Mayoral, R ; Hutchins, N ; Chung, D (Springer Verlag, 2020-11-20)
    Riblets reduce skin-friction drag until their viscous-scaled size becomes large enough for turbulence to approach the wall, leading to the breakdown of drag-reduction. In order to investigate inertial-flow mechanisms that are responsible for the breakdown, we employ the minimal-span channel concept for cost-efficient direct numerical simulation (DNS) of rough-wall flows (MacDonald et al., J. Fluid Mech., vol. 816, 2017, pp. 5–42). This allows us to investigate six different riblet shapes and various viscous-scaled sizes for a total of 21 configurations. We verify that the small numerical domains capture all relevant physics by varying the box size and by comparing to reference data from full-span channel flow. Specifically, we find that, close to the wall in the spectral region occupied by drag-increasing Kelvin–Helmholtz rollers (García-Mayoral & Jiménez, J. Fluid Mech., vol. 678, 2011, pp. 317–347), the energy-difference relative to smooth-wall flow is not affected by the narrow domain, even though these structures have large spanwise extents. This allows us to evaluate the influence of the Kelvin–Helmholtz instability by comparing fluctuations of wall-normal and streamwise velocity, pressure and a passive scalar over riblets of different shapes and viscous-scaled sizes to those over a smooth wall. We observe that triangular riblets with a tip angle a = 30° and blades appear to support the instability, whereas triangular riblets with a = 60°–90° and trapezoidal riblets with a = 30° show little to no evidence of Kelvin–Helmholtz rollers.
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    Contribution of dispersive stress to skin friction drag in turbulent flow over riblets
    Modesti, D ; Endrikat, S ; García-Mayoral, R ; Hutchins, N ; Chung, D (Darmstadt University of Technology, 2019)
    We carry out direct numerical simulations (DNSs) of minimal open-channel flow over riblets, which are streamwise-aligned grooves that modify the near-wall flow for drag reduction. Several riblet sizes and cross-sectional geometries are simulated, namely symmetric triangular, asymmetric triangular, blade and trapezoidal. With this unprecedented breadth and detail afforded by the DNS data, we are able to obtain more general insights into the flow physics of riblets. A generalization of the Fukagata–Iwamoto–Kasagi (FIK) identity is used to isolate the different contributions to skin friction drag changes. We show that, in the nonlinear regime of large riblet size, the dispersive contribution is comparable or larger than the turbulent one, representing an important mechanism to the breakdown of drag reduction.