Third-order structure function in the logarithmic layer of boundary-layer turbulence
Jin-Han Xie, Charitha de Silva, R. Baidya, Xiang I. A. Yang, Ruifeng Hu
Abstract
We derive a logarithmic law for the third-order streamwise structure function in the logarithmic layer of a boundary layer. The derivation is based on Townsend's hypothesis and the Navier-Stokes equation. In addition to the logarithmic law, we get the Townsend-Perry constant via asymptotic matching. Both the scaling and the constant agree well with high Reynolds number data.
Topics & Concepts
TownsendLogarithmBoundary layerConstant (computer programming)Mathematical analysisMathematicsTurbulenceScalingFunction (biology)PhysicsLayer (electronics)Reynolds numberStatistical physicsGeometryMechanicsMaterials scienceQuantum mechanicsComputer scienceBiologyProgramming languageEvolutionary biologyComposite materialFluid Dynamics and Turbulent FlowsPlant Water Relations and Carbon DynamicsWind and Air Flow Studies