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Short-term and long-term irreversibility in particle suspensions undergoing small and large amplitude oscillatory stress
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10.1122/1.4815979
/content/sor/journal/jor2/57/5/10.1122/1.4815979
http://aip.metastore.ingenta.com/content/sor/journal/jor2/57/5/10.1122/1.4815979

Figures

Image of FIG. 1.
FIG. 1.

(a) Size distribution of the glass spheres used in the experiment. The number distributions are normalized by the peak value; (b) viscosity as a function of steady shear rate for suspensions of various volume fractions of glass particles; (c) the magnitude of complex viscosity as a function of strain amplitude for suspensions with various volume fractions in stress-amplitude-sweep oscillatory shear flow at the frequency of 1 Hz; the stress-amplitude-sweep curve for 50% suspension after long-term oscillation ( = 10 000 s) in time-sweep oscillatory shear flow with stress amplitude of 0.9 Pa (the responded strain amplitude at 200 s is 0.05) is included. The temperature is 25 °C. A cone-plate geometry with diameter of 35 mm was adopted.

Image of FIG. 2.
FIG. 2.

(a) Normalized Lissajous–Bowditch curves as and for suspensions of volume fraction of 50%; (b) normalized Lissajous–Bowditch curves for 50% suspension after long-term oscillation (t = 10 000 s) in time-sweep oscillatory shear flow with ; (c) dependence of the magnitude of the third and fifth harmonic overtones on with suspensions of volume fractions of 40% and 50% (t = 200 s); the curve for suspension of 50% after long-term oscillation (t = 10 000 s) in time-sweep oscillatory shear flow with is included.

Image of FIG. 3.
FIG. 3.

Dependence of the short-term transition behavior of on for suspensions with volume fractions of (a) 25%, (b) 40%, and (c) 50% in the time-sweep oscillatory shear flow.

Image of FIG. 4.
FIG. 4.

Dependence of the short-term transition time, , on for suspensions with volume fractions of 25%, 40%, and 50%. The error bars indicate the uncertainty of the determination of the transition time from the complex viscosity curve in Fig. 3 when it reaches the quasisteady state.

Image of FIG. 5.
FIG. 5.

(a) Dependence of the long-term evolution of on in the time-sweep oscillatory shear experiment for suspension with volume fraction of 50% with from small to large; (b) evolution of with and (medium and large strain amplitude).

Image of FIG. 6.
FIG. 6.

Evolution of in the time-sweep oscillatory shear flow with for suspensions with volume fractions of 40% and 50%, respectively.

Image of FIG. 7.
FIG. 7.

Images of three tracer particles at (a) 0 s and (b) 4861 s in time-sweep oscillatory shear flow with for suspension with volume fraction of 50%.

Image of FIG. 8.
FIG. 8.

Displacement of particles along flow (x) and vorticity (z) directions in time-sweep long-term oscillatory shear flows with (a) and (b) , for suspension with volume fraction of 50%; (c) particle diffusivity as a function of with error bars indicating the variation of the result between tracing three particles and tracing six particles in a single test.

Image of FIG. 9.
FIG. 9.

Dependence of the normalized (a) third order elastic Chebyshev coefficient and (b) third order viscous Chebyshev coefficient on in strain decomposition method for suspension of volume fraction of 50% (t = 200 s), and for the 50% suspension after long-term oscillation in time-sweep oscillatory shear flow with (t = 10 000 s).

Image of FIG. 10.
FIG. 10.

Evolution of the positions of particles A and B relative to particle C in time-sweep oscillatory shear flow for suspension volume fraction of 50%, with (a) and (b) . The solid lines refer to the evolution of at the corresponding .

Tables

Generic image for table
TABLE I.

The critical strain amplitude accounts for peak transition time with suspensions of different volume fractions from the experiment of this study and the work of .

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/content/sor/journal/jor2/57/5/10.1122/1.4815979
2013-07-30
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Short-term and long-term irreversibility in particle suspensions undergoing small and large amplitude oscillatory stress
http://aip.metastore.ingenta.com/content/sor/journal/jor2/57/5/10.1122/1.4815979
10.1122/1.4815979
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