Sustainable Drag Reduction in Turbulent Taylor-Couette Flows by Depositing Sprayable Superhydrophobic Surfaces

TitleSustainable Drag Reduction in Turbulent Taylor-Couette Flows by Depositing Sprayable Superhydrophobic Surfaces
Publication TypeJournal Article
Year of Publication2015
AuthorsSrinivasan S., Kleingartner J.A, Gilbert J.B, Cohen R.E, Milne A.J, McKinley G.H
JournalPhysical Review Letters
Volume114
Issue1
Start Page014501
Abstract

We demonstrate a reduction in the measured inner wall shear stress in moderately turbulent Taylor-Couette flows by depositing sprayable superhydrophobic microstructures on the inner rotor surface. The magnitude of reduction becomes progressively larger as the Reynolds number increases up to a value of 22% at Re = 8.0×104. We show that the mean skin friction coefficient Cf in the presence of the superhydrophobic coating can be fitted to a modified Prandtl–von Kármán–type relationship of the form (Cf/2)−1/2 = M ln (Re(Cf/2)1/2) + N + (b/Δr) Re (Cf/2)1/2 from which we extract an effective slip length of b ≈ 19  μm. The dimensionless effective slip length b= b / δν, where δν is the viscous length scale, is the key parameter that governs the drag reduction and is shown to scale as b∼ Re1/2 in the limit of high Re.

DOI10.1103/PhysRevLett.114.014501

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