Spray impingement on a wall in the context of the upper airways

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Boudin , Laurent ; Weynans , Lisl (2008)
  • Publisher: EDP Sciences
  • Related identifiers: doi: 10.1051/proc:082301
  • Subject: spray | [ MATH.MATH-NA ] Mathematics [math]/Numerical Analysis [math.NA] | upper airways | droplet impingement
    mesheuropmc: complex mixtures

9 pages; ESAIM proceedings; We here address the modelling of an aerosol hitting the walls of the airways or an endotracheal tube used for a mechanical ventilation, and the possible creation of secondary droplets that may follow. We present a kinetic modelling of the spray-wall interaction and propose a boundary term that takes into account the possible formation of secondary droplets. Next we answer the following question: when, modelling the delivery of solute therapeutic aerosols, is it necessary to take into account the apparition of secondary droplets? A study of empirical models of drop-wall interaction allows us to conclude that in usual respiratory conditions, no secondary droplets appear. Finally, we perform numerical simulations of an aerosol delivered in an endotracheal tube, in the mechanical ventilation case. The idea is to compare our numerical results to in silico experiments from aerosols specialists. We study the trajectories and the deposition locations of spray droplets.
  • References (33)
    33 references, page 1 of 4

    [1] Freefem++, finite elements software, http://www.freefem.org/ff++/.

    [2] Medit, scientific visualization software, http://www.ann.jussieu.fr/ frey/logiciels/medit.html.

    [3] A. A. Amsden. Kiva-3V: A block-structured Kiva program for engines with vertical or canted valves. Technical report, Los Alamos National Laboratory Report LA-13313-MS, Los Alamos, NM, 1997.

    [4] C. Baranger. Modelling of oscillations, breakup and collisions for droplets: the establishment of kernels for the T.A.B. model. Math. Models Methods Appl. Sci., 14(5):775-794, 2004.

    [5] C. Baranger, L. Boudin, P.-E. Jabin, and S. Mancini. A modeling of biospray for the upper airways. In CEMRACS 2004- mathematics and applications to biology and medicine, volume 14 of ESAIM Proc., pages 41-47 (electronic). EDP Sci., Les Ulis, 2005.

    [6] C. Baranger and L. Desvillettes. Coupling Euler and Vlasov equations in the context of sprays: the local-in-time, classical solutions. J. Hyperbolic Differ. Equ., 3(1):1-26, 2006.

    [7] G. E. Cossali, G. Brunello, A. Coghe, and M. Marengo. Impact of a single drop on a liquid film: experimental analysis and comparison with empirical models. Italian Congress of Thermofluid Dynamics UIT, Ferrara, 30 june - 2 July 1999.

    [8] G. E. Cossali, A. Coghe, and M. Marengo. The impact of a single drop on a wetted solid surface. Exp. Fluids, 22:463-472, 1997.

    [9] Q. D´erumeaux and J. Crest. Mod´elisation du d´epoˆt de particules dans les bronches. Technical report, E´cole Polytechnique, 2007.

    [10] T. Duparque. Master report, universit´e de Tours, 2007.

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