%0 Book Section %1 statphys23_0921 %A Vasconcelos, T.F. %A Filoche, M. %A Andrade, J.S. %A Sapoval, B. %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 branched flow fluid particle statphys23 structures topic-10 transport %T Iterative Trapping of Advected Particles into a Branched Structure %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=921 %X The first part of the present work is dedicated to the transport of fluids in ramified structures. Essentially, the main aspects for the comprehension of the fluid flow in an irregular geometry are the it structural one, associated to the topological and morphological conformation of the media, and the phenomenological one, that refers to the transport mechanisms. Therefore, initially we describe the topology and the morphology of the ramified geometry. The mathematical description for the fluid mechanics in the branched structure is based on the steady-state form of continuity and Navier-Stokes equations for mass and momentum conservation. The results obtained from computational simulations are analyzed in term of the dynamics of the fluid flow. We show that the ramified character of this geometry adds a degree of complexity to the problem that substantially affects the statistical properties of the velocity and pressure fields. In the second part of our study, we consider the process of particle transport with mass dragged by a fluid in branched structures, through numerical integration of the movement equation for each particle. We investigate how the morphological aspect of the structure influences the nature of the particle transport and particle deposition in the interior of geometric models for respiratory airways. The initial results indicate that the percentage of particles that exit the structure is strongly dependent of the Stokes number. Besides, the behaviour of the particle transport is characterized by a critical diameter for a specific particle diameter. Below this critical diameter, the particles behave, in a general way, like tracers and they are dragged by the flow, following the streamlines and leaving the ramified structure. This critical diameter is strongly dependent of the fluid Reynolds number.

@incollection{statphys23_0921, abstract = {The first part of the present work is dedicated to the transport of fluids in ramified structures. Essentially, the main aspects for the comprehension of the fluid flow in an irregular geometry are the it structural one, associated to the topological and morphological conformation of the media, and the phenomenological one, that refers to the transport mechanisms. Therefore, initially we describe the topology and the morphology of the ramified geometry. The mathematical description for the fluid mechanics in the branched structure is based on the steady-state form of continuity and Navier-Stokes equations for mass and momentum conservation. The results obtained from computational simulations are analyzed in term of the dynamics of the fluid flow. We show that the ramified character of this geometry adds a degree of complexity to the problem that substantially affects the statistical properties of the velocity and pressure fields. In the second part of our study, we consider the process of particle transport with mass dragged by a fluid in branched structures, through numerical integration of the movement equation for each particle. We investigate how the morphological aspect of the structure influences the nature of the particle transport and particle deposition in the interior of geometric models for respiratory airways. The initial results indicate that the percentage of particles that exit the structure is strongly dependent of the Stokes number. Besides, the behaviour of the particle transport is characterized by a critical diameter for a specific particle diameter. Below this critical diameter, the particles behave, in a general way, like tracers and they are dragged by the flow, following the streamlines and leaving the ramified structure. This critical diameter is strongly dependent of the fluid Reynolds number.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Vasconcelos, T.F. and Filoche, M. and Andrade, J.S. and Sapoval, B.}, biburl = {https://www.bibsonomy.org/bibtex/249dceb1bb29f30f6a1b938ca101d902b/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {d8173bb72f734d64ea977f25f278aa7c}, intrahash = {49dceb1bb29f30f6a1b938ca101d902b}, keywords = {branched flow fluid particle statphys23 structures topic-10 transport}, month = {9-13 July}, timestamp = {2007-06-20T10:16:34.000+0200}, title = {Iterative Trapping of Advected Particles into a Branched Structure}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=921}, year = 2007 }