Title | Sustainable Drag Reduction in Turbulent Taylor-Couette Flows by Depositing Sprayable Superhydrophobic Surfaces |
Publication Type | Journal Article |
Year of Publication | 2015 |
Authors | Srinivasan S., Kleingartner J.A, Gilbert J.B, Cohen R.E, Milne A.J, McKinley G.H |
Journal | Physical Review Letters |
Volume | 114 |
Issue | 1 |
Start Page | 014501 |
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. |
DOI | 10.1103/PhysRevLett.114.014501 |