Journal
JOURNAL OF RHEOLOGY
Volume 64, Issue 1, Pages 29-41Publisher
SOC RHEOLOGY
DOI: 10.1122/1.5120323
Keywords
Graphene Oxide; Rheology; Orientation; Rotational motion; Shear Stress; Jeffery orbit; Leslie-Ericksen theory; Larson-Doi theory
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Funding
- Nano-Material Technology Development Program through the National Research Foundation of Korea (NRF) - Ministry of Science, ICT, and Future Planning [2016M3A7B4027796]
- Technology Innovation Program - Ministry of Trade, Industry, and Energy (MOTIE, Korea) [2000479]
- Basic Science Research Program through the National Research Foundation of Korea (NRF) - Ministry of Education [2017R1D1A1B03032865]
- National Research Foundation of Korea [2017R1D1A1B03032865] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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In our earlier work [Lee et al., Soft Matter 15, 4238-4243 (2019)], we demonstrated that mutually attractive graphene oxide (GO) domains were under a tube-rolling motion with a vorticity alignment at low shear rates. In this work, we prepared repulsive GO domains, which were dispersed in water. The distinct stress wave-prints were measured using a cone and plate rheometer at low shear rates. All possible Jeffery orbits were calculated for input into the Leslie-Ericksen theory. The Tikhonov regularization method was used to determine the orientation probability density function at the start of an orbit cycle from the experimental stress wave-print and the calculated stress matrix using the Leslie-Ericksen theory. Therefrom, it was concluded that at a shear rate of 0.03s(-1), the orientation dynamics were twist-tumbling, whereas at 0.06s(-1) the domains underwent twist-tumbling and kayaking. Finally, the orientation probability density function was used to evaluate the orientation tensors in the Larson-Doi model for polydomain liquid crystals and susequently to reconstruct the stress evolution, which compares reasonably well to the experiment. In addition, a calculation method for estimating the b/a ratio, where the trajectory is different from the prolate in the case of the triaxial ellipsoid shape (c>b>a), has been presented.
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