Development of a porous media model for flow in alveolated ducts within the human lung

Abstract eng:
The flow of air in an alveolated duct, which is the main porous structure found within the human lung, has been considered. A model is developed based on the method of volume-averaging, which is used to derive macroscopic governing equations for a large number of alveolated ducts. In order to close the volume-averaged equations, a set of partial equations is derived in terms of transformed variables and is solved over a unit-cell of the duct to obtain the relevant effective flow parameter, namely the duct permeability. One-dimensional analytical solutions have then been derived to verify the model in comparison to direct computational fluid dynamics.

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