Journal of Non-Newtonian Fluid Mechanics, Vol.160, No.1, 2-10, 2009
Turbulent flow of viscoelastic shear-thinning liquids through a rectangular duct: Quantification of turbulence anisotropy
We report laser Doppler anemometry (LDA) measurements of mean velocity and turbulence structure for fully-developed turbulent flow through a rectangular duct of aqueous solutions of a xanthan gum and a polyacrylamide both of which are drag-reducing polymer solutions. All three components of the turbulent fluctuations (i.e. the Reynolds normal stresses) have been measured as well as the Reynolds shear stress -rho(uv) over bar. A novel open-slit test-section allows measurement of the component of Reynolds normal stress perpendicular to the duct wall and of the Reynolds shear stress down to values of y(+), the distance from the surface in wall units, close to unity. We show that the maximum value of the transverse (or normal) component of turbulence intensity in wall units v'(+)(MAX) decreases linearly from about unity for zero drag reduction (DR1) to about 0.6 at DR1 = 80% while the lateral component w(MAX)(+) is practically independent of DR1. For levels of drag reduction below 50% the streamwise component u'(+)(MAX) increases monotonically but for higher levels of drag reduction the trend is less clear. Anisotropy of the turbulence structure is characterised using Pope's modification [S. Pope, Turbulent flows (2000), Cambridge University Press, New York.] of the triangle plot suggested by Lumley [J.L Lumley, Computational modelling of turbulent flows, Adv. Appl. Mech. 18 (1978) 123-176] and shown to follow closely the line for axisymmetric turbulence. The detailed LDA measurements are supplemented by particle-image velocimetry observations which reveal how drag reduction changes the near-wall streaky structure. (C) 2009 Elsevier B.V. All rights reserved.