Abstract. This study presents a numerical investigation of basic interactions between respiratory mucus motion, air circulation and epithelium ciliated cells vibration. One focuses on identification of meaningful rheological parameters, physiological and numerical simulation dimensioning. These preliminary results are crucial before the study of more general configurations of respiratory mucus motion. The numerical study presented in this work aims at providing a first numerical tool able to simulate the effects of mucus mobility and its ability to carry out pathogens or to deliver aerosol therapy to membrane wall cells. Momentum diffusion is identified as the dominant effect, as expected in this micrometer scale configuration, and its associate momentum diffusion operator is shown to be extremely stiff. Furthermore, epithelium vibration is shown to be much more efficient than air circulation for mucus propulsion.Résumé. Ce travail présente uneétude numérique des interactionsélémentaires entre le mucus de l'appareil respiratoire, la circulation de l'air et le mouvement vibratoire des cellulesépithéliales ciliées tapissant la membrane pulmonaire. On s'intéresse en particulierà l'identification des paramètres les plus importants parmi les données rhéologiques, le dimensionnement physiologique et la configuration numérique. Ces résultats préliminaires sont cruciaux afin d'envisager l'étude de cas plus généraux de transport du mucus respiratoire. Un tel outil numérique aura pour but de quantifier la mobilité du mucus et sa capacitéà expulser les pathogènes ouà délivrer un aérosolà travers membrane. La diffusion aété identifiée commeétant le phénomène dominant, comme attenduà l'échelle du micromètre, et son opérateur de diffusion associé aété observé commeétant extrêmement raide. D'autre part, il aété montré que la vibration de l'épithélium est bien plus efficace que la circulation de l'air pour assurer le transport du mucus.
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