Periodic flow at airway bifurcations. I. Development of steady pressure differences

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Abstract
In studies of large-amplitude periodic flows at an airway bifurcation, we found an appreciable steady-state pressure difference between the terminal units. To elucidate the fluid dynamic origins of such steady-state pressure differences, we studied single asymmetric bifurcation models with various area ratios and branching angles. The daughter ducts were identical in size and were terminated into identical elastic loads. Sinusoidal flow oscillations were applied at the parent duct so that the upstream Reynolds number ranged from 30 to 77,000 and the Womersley parameter from 2 to 30. The steady-state component (time averaged) of the pressure measured at the terminal with the smaller branching angle was found to be consistently higher than that at the other terminal. This steady-state pressure difference scaled approximately as a fixed fraction of the parent duct dynamic head. Guided by the results of flow-visualization studies, we modeled such behavior based on the temporal and spatial differences of head loss between the two branches of the bifurcation. Our results suggest that interlobar heterogeneity of mean alveolar-pressure observed in excised canine lungs during high frequency oscillation (Allen et al., J. Appl. Physiol. 62: 223-228, 1987) arises solely from fluid dynamic origins: differential head loss due to asymmetry of central airway branching structure.