A law of the wall for turbulent boundary layers with suction: Stevenson’s formula revisited

Vigdorovich, I. I.

doi:10.1063/1.4960182

Cited by 17 publications

(10 citation statements)

References 9 publications

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“…In Fig. 7, we show the wall-tangential velocity profiles scaled according to Stevenson's law, originally formulated as a generalization of the logarithmic law for turbulent boundary layer with suction by Stevenson (1963), and recently re-derived by Vigdorovich (2016). According to Stevenson's law, in the logarithmic region, the wall-tangential mean velocity follows the expression:…”

Section: Figmentioning

confidence: 98%

Aerodynamic Effects of Uniform Blowing and Suction on a NACA4412 Airfoil

Atzori

Vinuesa

Fahland

et al. 2020

Flow Turbulence Combust

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We carried out high-fidelity large-eddy simulations to investigate the effects of uniform blowing and uniform suction on the aerodynamic efficiency of a NACA4412 airfoil at the moderate Reynolds number based on chord length and incoming velocity of Re c = 200,000 . We found that uniform blowing applied at the suction side reduces the aerodynamics efficiency, while uniform suction increases it. This result is due to the combined impact of blowing and suction on skin friction, pressure drag and lift. When applied to the pressure side, uniform blowing improves aerodynamic efficiency. The Reynoldsnumber dependence of the relative contributions of pressure and friction to the total drag for the reference case is analysed via Reynolds-averaged Navier-Stokes simulations up to Re c = 10,000,000 . The results suggest that our conclusions on the control effect can tentatively be extended to a broader range of Reynolds numbers.

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Section: Figmentioning

confidence: 98%

Aerodynamic Effects of Uniform Blowing and Suction on a NACA4412 Airfoil

Atzori

Vinuesa

Fahland

et al. 2020

Flow Turbulence Combust

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“…Therefore, before fitting to Eq. (1), the velocity profile measured for the controlled case was corrected using Stevenson's wall law modified by Vigdorovich (2016), which reads…”

Section: Resultsmentioning

confidence: 99%

“…Subsequently, we quantitatively assessed the local skin friction from the mean streamwise velocity profiles by taking into account the pressure gradient and wall roughness. As a result of the quantitative assessment using the law of the wall accounting for the pressure gradient (Nickels, 2004) and the transformation of log law to account for the wall transpiration (Vigdorovich, 2016), the local friction drag reduction effect is estimated to reach 4% − 23%. Although development of more ideal materials for the blowing surface is still expected, the present experimental results suggest that the passive blowing has a great potential to serve as a practical and effective control method for reducing friction drag on an airfoil.…”

Section: Discussionmentioning

confidence: 99%

Experimental investigation on friction drag reduction on an airfoil by passive blowing

Hirokawa¹,

Eto²,

Fukagata³

et al. 2020

JFST

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Friction drag reduction effect of a passive blowing on a Clark-Y airfoil is investigated. Uniform blowing, conducted in a wall-normal direction on a relatively wide surface, is generally known as an active control method for reduction of turbulent skin friction drag. In the present study, uniform blowing is passively driven by the pressure difference on a wing surface between suction and blowing regions. The suction and the blowing regions are respectively set around the leading edge and the rear part of the upper surface of the Clark-Y airfoil in order to ensure a sufficient pressure difference for passive blowing. The Reynolds number based on the chord length is 0.65×10 6 and 1.55×10 6. The angle of attack is set to 0 • and 6 •. The mean streamwise velocity profiles on the blowing region and the downstream, measured by a traversed hot-wire anemometry, are observed to shift away from the wall by passive blowing. This behavior qualitatively suggests reduction of local skin friction on the wing surface. A quantitative assessment of the friction drag is performed using the law of the wall accounting for pressure gradients (Nickels, 2004), coupled with a modified Stevenson's law (Vigdorovich, 2016) to account for the weak blowing. From this assessment, the local friction drag reduction effect of passive blowing is estimated to reach 4% − 23%.

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“…The wall suction is among the first techniques applied to control the structure of the boundary layer. Most suction investigations concentrate on pure flow subject to active control by applying homogeneous suction boundaries [11][12][13][14][15][16]. Only a few studies are carried out concerning detonation combustion.…”

Section: Nomenclature Fmentioning

confidence: 99%