Computational fluid dynamics (CFD) simulation was carried out for an oscillatory flow in an expanding and contracting model of small airways. The model of multi-branching airways was prepared from X-ray CT images of mouse. Airway diameter ranges from 55 to 360 gm. The Fluent software package used in this study was applied for calculation of the fluid particle trajectory in the airway model. Performing fluid particle tracking, we discussed the characteristics of fluid mixing and dispersion. The results show that fluid mixing and dispersion are promoted by the expansion and contraction of airways.