Abstract
Abstract
Highlights
Shear-dominated wall-bounded turbulent flows such as in pipes, channels and boundary layers are of utmost importance
All relevant non-zero Reynolds stress budgets for turbulent channel flow of generalized Newtonian (GN) fluids are presented for the first time, allowing us, for example, to better understand the decrease/increase in energy redistributed from streamwise fluctuations with shear thinning/shear thickening
Since in a GN fluid the viscosity depends on the velocity gradient, through the strain rate, its fluctuating part is not expected to vanish at the wall (·|w)
Summary
Shear-dominated wall-bounded turbulent flows such as in pipes, channels and boundary layers are of utmost importance. Gavrilov & Rudyak (2016a) showed similar results but in addition reported an increase in turbulent kinetic energy with increasing shear thinning and, motivated by the work of Escudier et al (2009), studied for the first time large-scale anisotropy of a purely viscous GN fluid flow through anisotropy-invariant maps (Lumley & Newman 1977) of the Reynolds stress anisotropy tensor. All relevant non-zero Reynolds stress budgets for turbulent channel flow of GN fluids are presented for the first time, allowing us, for example, to better understand the decrease/increase in energy redistributed from streamwise fluctuations with shear thinning/shear thickening. Large-scale and small-scale anisotropy of turbulent GN fluid flow is appraised and, at the end of the paper, the different reported drag-reducing features with shear-thinning behaviour are discussed in light of variations noted in the near-wall structures, i.e. quasi-streamwise vortices and velocity streaks
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