Different Bingham numbers are plotted in colours from dark to light; Bi = 0, 0.0025, 0.025, 0.25, 2.5, 12.5 and 25 are plotted in black, purple, dark blue, light blue, dark green, light green and orange, respectively. The expected Kolmogorov scaling for a Newtonian fluid is shown by a grey dashed line, and the grey dash-dotted line represents an apparent new non-Newtonian scaling E ~ -2.3 that emerges at large Bi . Inset: variation of the mean values of the microscale Reynolds number Re (right axis, plotted as squares) and the volume fraction of the unyielded regions (left axis, plotted as diamonds) as a function of Bi . Error bars report the s.d. of Re in time, measured using 10 3 samples. Plastic effects start to appear for Bi 1, suggesting that is the relevant length scale of the problem.
