Geometry and scale relationships in high Reynolds number turbulence determined from 3-D holographic velocimetry


By B. Tao1, J. Katz1,2, & C. Meneveau 1,2
1 Department of Mechanical Engineering,
2 Center for Environmental and Applied Fluid Mechanics,
The Johns Hopkins University Baltimore, MD 21218, USA


ABSTRACT: Holographic Particle Image Velocimetry is used to measure the instantaneous three-dimensional velocity field in a finite volume of a turbulent duct flow. These data allow us, for the first time, to measure 3-D geometric relationships between filtered vorticity, strain-rate and subgrid-scale stress tensors at high Reynolds numbers. Such relationships are required for the development of turbulence models for Large-eddy Simulation. Contrary to typical eddy viscosity models, the data show that the most compressive strain-rate and most extensive subgrid-scale stress eigendirections have a strongly preferred relative orientation of 34º. The orientations of the other eigendirections are less deterministic and more complex.

Phys. Fluids 12, p. 941, (2000).

Full pdf article (©AIP, see http://www.ojps.aip.org/phf

(Reused with permission from Bo Tao, Physics of Fluids, 12, 941 (2000). Copyright 2000, American Institute of Physics.)

 

Charles Meneveau, Department of Mechanical Engineering, Johns Hopkins University, 3400 N. Charles Street, Baltimore MD 21218, USA, Phone: 1-410-516-7802, Fax: 1-(410) 516-7254, email: meneveau@jhu.edu

  
Last update: 08/30/2008