Abstract
Diffusion is a very rich phenomenon which goes beyond the classical simple description in quiescent systems. On the one side, inhomogeneities in the flow velocity exert a deep influence on the behaviour of diffusion and have enormous environmental and industrial importance, as for instance in the transport of pollutants or in the functioning of chemical reactors under continuous flow. Furthermore, the exponents characterizing the temporal behaviour of diffusion are drastically altered in the presence of velocity gradients. Indeed, the presence of a simple shear changes the usual behaviour áx 2ñ ~ t to áx 2ñ ~ t 3, with x the displacement of the solute particles with respect to the moving solvent in the direction of the flow. This implies an enormous enhancement of diffusion along this direction. Note that an exponent 3 for time also appears in diffusion in turbulent situations (Ichisenko 1992).
Keywords
- Fractional Derivative
- Effective Diffusion Coefficient
- Anomalous Diffusion
- Irreversible Thermodynamic
- Molecular Diffusion Coefficient
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© 2011 Springer Science+Business Media B.V.
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Jou, D., Casas-Vázquez, J., Criado-Sancho, M. (2011). Taylor Dispersion and Anomalous Diffusion. In: Thermodynamics of Fluids Under Flow. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0199-1_9
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DOI: https://doi.org/10.1007/978-94-007-0199-1_9
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Publisher Name: Springer, Dordrecht
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Online ISBN: 978-94-007-0199-1
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