<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The ability of the Generalized Continuum Transport model to describe dispersion is studied through the comparison of the breakthrough curves with an analytical solution of the linear advection-dispersion Equation. First, a velocity distribution due to Taylor dispersion in a capillary tube is related to the dispersion coeficient of the advection-dispersion equation. The same distribution is applied to the Generalized Continuum Transport model, where the dispersive flux term is not included as the term proportional to the concentration gradient. In the second stage the velocity distribution is obtained from the transition probability introduced through the Continuous Time Random Walk approach. The approaches support the idea that the Generalized Continuum Transport model captures velocity variations naturally through the parameter space. The results confirm that a proper selection of the parameter space, including its size, leads to more physical transport description as well as accurate quantification.</p></abstract>

The ability of the Generalized Continuum Transport model to describe dispersion is studied through the comparison of the breakthrough curves with an analytical solution of the linear advection-dispersion Equation. First, a velocity distribution due to Taylor dispersion in a capillary tube is related to the dispersion coeficient of the advection-dispersion equation. The same distribution is applied to the Generalized Continuum Transport model, where the dispersive flux term is not included as the term proportional to the concentration gradient. In the second stage the velocity distribution is obtained from the transition probability introduced through the Continuous Time Random Walk approach. The approaches support the idea that the Generalized Continuum Transport model captures velocity variations naturally through the parameter space. The results confirm that a proper selection of the parameter space, including its size, leads to more physical transport description as well as accurate quantification.

On the ability of the Generalized Continuum Transport Model to properly capture dispersion

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

The ability of the Generalized Continuum Transport model to describe dispersion is studied through the comparison of the breakthrough curves with an analytical...

On the ability of the Generalized Continuum Transport Model to properly capture dispersion

Published Online: Nov 22, 2018

Page range: 285 - 299

Received: Dec 01, 2016

Accepted: May 01, 2017

DOI: https://doi.org/10.2478/auom-2018-0029

Keywords
Generalized Continuum Transport, Fluid Flow Models, Dispersion, Velocity Distribution, Continuous Time Random Walk, Power Law

© 2018 Leonid Vasilyev, Florin Adrian Radu, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

On the ability of the Generalized Continuum Transport Model to properly capture dispersion

Published Online: Nov 22, 2018

Page range: 285 - 299

Received: Dec 01, 2016

Accepted: May 01, 2017

DOI: https://doi.org/10.2478/auom-2018-0029

KeywordsGeneralized Continuum Transport, Fluid Flow Models, Dispersion, Velocity Distribution, Continuous Time Random Walk, Power Law

© 2018 Leonid Vasilyev, Florin Adrian Radu, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Generalized Continuum Transport, Fluid Flow Models, Dispersion, Velocity Distribution, Continuous Time Random Walk, Power Law