METHODS OF CLASSICAL MECHANICS
APPLIED TO TURBULENCE STRESSES
IN A TIP LEAKAGE VORTEX
Joan G. Moore, Scott A. Schorn and John Moore
Mechanical Engineering Department,
Virginia Polytechnic Institute and State University,
Blacksburg, Virginia
ABSTRACT
Moore et al. measured the six Reynolds stresses in a tip leakage
vortex in a linear turbine cascade. Stress tensor analysis, as used
in classical mechanics, has been applied to the measured turbulence
stress tensors. Principal directions and principal normal stresses
are found. A solid surface model, or 3-d glyph, for the Reynolds
stress tensor is proposed and used to view the stresses throughout
the tip leakage vortex. Modelled Reynolds stresses using the
Boussinesq approximation are obtained from the measured mean
velocity strain rate tensor. The comparison of the principal
directions and the 3-d graphical representations of the strain and
Reynolds stress tensors aids in the understanding of the turbulence
and what is required to model it.
ASME Paper No. 95-GT-220. Published: 1996, Journal of Turbomachinery, Vol. 118, pp. 622-629.
From the homepage of J&J Moore, http://moore64.home.comcast.net. February 2007