Scaling turbulence in the near-wall region

Abstract

A new velocity scale is derived that yields a Reynolds number independent profile for the streamwise turbulent fluctuations in the near-wall region of wall bounded flows for $y^{+}<25$. 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 distribution.

References in corpus (8)

• Direct numerical simulation of turbulent channel flow up to $R{e}_{\tau }\approx 5200$
• Spectral analysis of the budget equation in turbulent channel flows at high Re
• One-point statistics for turbulent pipe flow up to $R{e}_{\tau }\approx 6000$
• Extreme-scale motions in turbulent plane Couette flows
• Reynolds stress scaling in the near-wall region of wall-bounded flows
• Reynolds stress scaling in the near-wall region
• Scaling turbulence in the near-wall region
• Asymptotics of stream-wise Reynolds stress in wall turbulence

Cited by in corpus (5)

• Reynolds stress scaling in the near-wall region of wall-bounded flows
• Reynolds stress scaling in the near-wall region
• Scaling turbulence in the near-wall region
• Asymptotics of stream-wise Reynolds stress in wall turbulence
• Scaling of global properties of fluctuating streamwise velocities in pipe flow: Impact of the viscous term