Journal
RHEOLOGICA ACTA
Volume 53, Issue 7, Pages 489-499Publisher
SPRINGER
DOI: 10.1007/s00397-014-0769-z
Keywords
Microchannel; Microrheology; mu(2)-Rheology; Extent of mixing; Skewness; Shannon entropy
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Funding
- Mid-career Researcher Program through NRF - MEST (Ministry of Education, Science and Technology), Korea [2010-0015186]
- University of Delaware's NIH Center of Biomedical Research Excellence, Molecular Design of Advanced Biomaterials [P20-RR017716]
- National Research Foundation of Korea [2010-0015186] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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A tracking method and statistical analysis is introduced to quantify the mixing of moving droplets in the Lagrangian reference frame. Aqueous microrheology samples are produced as droplets in immiscible oil using a microfluidic T-junction. Samples from initially unmixed streams of the same viscosity-fluids (water/water) or different viscosity-fluids (water/glycerin solution) are dyed with different colors to visualize their internal motions and to quantify the extent of their mixing as a function of the age in the channel. The homogeneity of the material distribution in the drop is quantified by computing skewness of pixel intensity profiles or Shannon entropy index. Such analysis is important to ensure that samples are uniformly mixed for high-throughput rheological measurements using microrheology. Samples with a high viscosity ratio mix more rapidly than those with the same viscosities and the mixing length in traversing drops in the microchannel decays exponentially with traveling displacement until the drop reaches a diffusion limit.
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