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- W2012673567 abstract "Upon approaching the liquid–vapor critical point, the spontaneous density fluctuations in a small-molecule fluid increase in both size and lifetime. Similar increases of the concentration fluctuations occur near the critical mixing point of a binary liquid mixture. The presence of these large fluctuations leads to an increase of the zero-shear viscosity, and their persistence in time leads to viscoelasticity and shear thinning. These rheological phenomena, which are already supported by theory and experiment, are shown here to obey a generalized form of the Cox–Merz rule. This relation formally equates the shear viscosity η(γ̇) measured at shear rate γ̇ with the magnitude of the linear complex viscosity η*(ω) measured at frequency ω. Comparisons of theoretical results and experimental data obtained elsewhere demonstrate that fluids near a critical point obey the somewhat generalized form η(kCMγ̇=ω)=|η*(ω)|, with kCM=0.4. The demonstration is simplified by showing that the Carreau–Yasuda model in the form (1+bAγ|γ̇τ|)−p represents the theories for η(γ̇) and |η*(ω)| near critical points. (The product bAγτ is a time constant, and p=0.022 is a universal critical exponent.)." @default.
- W2012673567 created "2016-06-24" @default.
- W2012673567 creator A5011796104 @default.
- W2012673567 date "2004-11-01" @default.
- W2012673567 modified "2023-10-18" @default.
- W2012673567 title "Fluids near a critical point obey a generalized Cox–Merz rule" @default.
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- W2012673567 doi "https://doi.org/10.1122/1.1807843" @default.
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