Reynolds stress scaling in the near-wall region of wall-bounded flows
Alexander J. Smits, Marcus Hultmark, Myoungkyu Lee, Sergio Pirozzoli, Xiaohua Wu
Abstract
A new scaling is derived that yields a Reynolds-number-independent profile for all components of the Reynolds stress in the near-wall region of wall-bounded flows, including channel, pipe and boundary layer flows. The scaling demonstrates the important role played by the wall shear stress fluctuations and how the large eddies determine the Reynolds number dependence of the near-wall turbulence behaviour.
Topics & Concepts
ScalingReynolds numberMechanicsTurbulenceReynolds stressBoundary layerPhysicsEddyShear stressReynolds stress equation modelStress (linguistics)Boundary (topology)Reynolds-averaged Navier–Stokes equationsReynolds decompositionBoundary layer thicknessK-epsilon turbulence modelClassical mechanicsScaling lawStatistical physicsTurbulence modelingShear (geology)Reynolds equationMagnetic Reynolds numberPipe flowHele-Shaw flowBoundary value problemFlow separationHydrodynamic stabilityOpen-channel flowFluid Dynamics and Turbulent FlowsAerodynamics and Acoustics in Jet FlowsParticle Dynamics in Fluid Flows