%0 Book Section %1 statphys23_0676 %A Maier, R.S. %A Kroll, D.M. %A Davis, H.T. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K analysis aris-taylor beadpack dispersion equation langevin lattice-boltzmann random statistics statphys23 topic-3 %T Simulations and Theory of Dispersion in Flow in Beadpacks %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=676 %X The flow of liquid through a cylindrical random beadpack is simulated using the Lattice-Boltzmann technique. Dispersion of tracer particles is simulated using the Langevin equation. In contradiction of conventional wisdom, we find that the longitudinal dispersivity is a strong function of the ratio R/d, where R is the radius of the cylinder and d is the diameter of the beads, even beyond R/d values of 50. With the Aris-Taylor analysis of the convective dispersion equation, we are able to show that this effect arises from the rapidly varying boundary layer near the wall of the cylinder. The reason the radius dependence of the dispersion has not received much attention is that in most beadpack experiments the dispersive flow is no fully developed. We give the criteria for fully developed flow in terms of R/d, flow rate and time.

@incollection{statphys23_0676, abstract = {The flow of liquid through a cylindrical random beadpack is simulated using the Lattice-Boltzmann technique. Dispersion of tracer particles is simulated using the Langevin equation. In contradiction of conventional wisdom, we find that the longitudinal dispersivity is a strong function of the ratio R/d, where R is the radius of the cylinder and d is the diameter of the beads, even beyond R/d values of 50. With the Aris-Taylor analysis of the convective dispersion equation, we are able to show that this effect arises from the rapidly varying boundary layer near the wall of the cylinder. The reason the radius dependence of the dispersion has not received much attention is that in most beadpack experiments the dispersive flow is no fully developed. We give the criteria for fully developed flow in terms of R/d, flow rate and time.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Maier, R.S. and Kroll, D.M. and Davis, H.T.}, biburl = {https://www.bibsonomy.org/bibtex/23ac4612c53ad8caea069c822447f5a55/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {865c225ac3f570557cdd491980154296}, intrahash = {3ac4612c53ad8caea069c822447f5a55}, keywords = {analysis aris-taylor beadpack dispersion equation langevin lattice-boltzmann random statistics statphys23 topic-3}, month = {9-13 July}, timestamp = {2007-06-20T10:16:26.000+0200}, title = {Simulations and Theory of Dispersion in Flow in Beadpacks}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=676}, year = 2007 }