Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Corrections for spatial velocity derivatives in a turbulent shear flow

Abstract

Possible corrections for measured spatial velocity derivatives have been inferred from a direct numerical simulation database for a fully developed turbulent channel flow. The magnitude of the correction depends much less on the distance from the wall for derivatives in the spanwise direction than for those in the wall-normal direction. Corrections based on local isotropy are better approximations for spanwise derivatives than for wall-normal derivatives.

This is a preview of subscription content, log in to check access.

References

  1. Antonia RA; Kim J (1992) Isotropy of Small Scale Turbulence, Proc. 1992 Summer Program: Studying Turbulence Using Numerical Simulation Database. Vol. IV, Stanford University/NASA-Ames Research Center, 123–136

  2. Antonia RA; Kim J; Browne LWB (1991) Some Characteristics of Small Scale Turbulence in a Turbulent Duct Flow. J Fluid Mech 233: 369–388

  3. Antonia RA; Mi J (1993) Corrections for Velocity and Temperature Derivatives in Turbulent Flows. Exp Fluids 14: 203–208

  4. Antonia RA; Zhu Y; Kim J (1993) On the Measurement of Lateral Velocity Derivatives in Turbulent Flows. Exp Fluids 15: 65–69

  5. Batchelor GK (1953) The Theory of Homogeneous Turbulence, Cambridge University, Press

  6. Champagne FH; Friehe CA; LaRue JC (1977) Flux measurements, Flux Estimation Techniques, and Fine-Scale Turbulence Measurements in the Unstable Surface Layer Over Land. J Atmos Sci 34: 515–530

  7. Kim J; Hussain F (1992) Propagation Velocity and Space-Time Correlation of Perturbations in Turbulent Channel Flow. NASA TM103932

  8. Kim J; Moin P; Moser R (1987) Turbulent Statistics in Fully Developed Channel Flow at Low Reynolds Number. J Fluid Mech 177: 133–166

  9. Wyngaard JC (1968) Measurement of Small-Scale Turbulence Structure With Hot Wires. J Sci Instrum (J Phys E) 1: 1105–1108

  10. Wyngaard JC (1969) Spatial Resolution of the Vorticity Meter and Other Hot-Wire Arrays. J Sci Instrum (J Phys E) 2: 983–987

Download references

Author information

Correspondence to R. A. Antonia.

Additional information

The support of the Australian Research Council is gratefully ackowledged.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Antonia, R.A., Zhu, Y. & Kim, J. Corrections for spatial velocity derivatives in a turbulent shear flow. Experiments in Fluids 16, 411–413 (1994). https://doi.org/10.1007/BF00202066

Download citation

Keywords

  • Isotropy
  • Shear Flow
  • Channel Flow
  • Direct Numerical Simulation
  • Local Isotropy