Abstract
The spatial relations between the measurable wall quantities (streamwise shear stress \(\tau _{\mathrm{w}{ x}}\), spanwise shear stress \(\tau _{\mathrm{w}{ z}}\), and pressure fluctuations \(p^\prime _\mathrm{w}\)) and the near-wall streamwise vortices (NWSV) are investigated via direct numerical simulation (DNS) databases of fully developed turbulent channel flow at a low Reynolds number. In the standard turbulent channel flow, the results show that all the wall measurable variables are closely associated with the NWSV. But after applying a stochastic interference, the relation based on \(\tau _{\mathrm{w}{ x}}\) breaks down while the correlations based on \(p^\prime _\mathrm{w}\) and \(\tau _{\mathrm{w}{ z}}\) are still robust. Hence, two wall flow quantities based on \(p^\prime _\mathrm{w}\) and \(\tau _{\mathrm{w}{ z}}\) are proposed to detect the NWSV. As an application, two new control schemes are developed to suppress the near-wall vortical structures using the actuation of wall blowing/suction and obtain 16 % and 11 % drag reduction, respectively.
Graphical abstract
The deformation and typical force curve of the mosquito leg when it is pressed onto a water surface.
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Acknowledgments
The project was supported by the National Natural Science Foundation of China (Nos. 11402088 and 51376062), the Fundamental Research Funds for the Central Universities (No. 2014MS33) and State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources (No. LAPS15005).
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Ge, M., Xu, C. & Cui, GX. Active control of turbulence for drag reduction based on the detection of near-wall streamwise vortices by wall information. Acta Mech. Sin. 31, 512–522 (2015). https://doi.org/10.1007/s10409-015-0427-4
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DOI: https://doi.org/10.1007/s10409-015-0427-4