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Updated: May 2, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
Experimental tests of free-volume tracer diffusion in water and other solvents
Daniel R Spiegel1, Paulses C Kollie1, Scott J Van Tilburg1
1Department of Physics and Astronomy, Trinity University, San Antonio, Texas 78212-7200, USA.
Abstract:
Using forced Rayleigh scattering, the tracer diffusion of methyl red through water and eight other solvents at different temperatures is investigated and the results are compared to the Cohen-Turnbull theory of free-volume diffusion. In seven solvents the effective non-Arrhenius activation energy measured experimentally agrees with the Cohen-Turnbull energy. In water, however, the diffusion can be described mathematically by the free volume model but there is a disagreement of more than an order of magnitude between these energies. We propose that the unique "zero point" free volume forced onto water by the strong hydrogen bonding requires a different mechanism for tracer motion.
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