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Suspensions in a tilted trough: second normal stress difference. (English) Zbl 1241.76014
From the summary: We measure the second normal-stress difference in suspensions of non-Brownian neutrally buoyant rigid spheres dispersed in a Newtonian fluid. We use a method which relies on the examination of the shape of the suspension free surface in a tilted trough flow. The second normal-stress difference is found to be negative and linear in shear stress. The ratio of the second normal-stress difference to shear stress increases with increasing volume fraction. A clear behavioural change exhibiting a strong (approximately linear) growth in the magnitude of this ratio with volume fraction is seen above a volume fraction of 0.22. By comparing our results with previous data obtained for the same batch of spheres by F. Boyer et al. [J. Fluid Mech. 686, 5–25 (2012; Zbl 1241.76008)], the ratio of the first normal-stress difference to the shear stress is estimated and its magnitude is found to be very small.

MSC:
76-05 Experimental work for problems pertaining to fluid mechanics
76T20 Suspensions
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