Flow of Viscous Fluid through Regularly-Spaced Cylinders

Relating to sheet flow theory for microcirculation in lung, two model flows are studied by numerical method. The flow of a viscous fluid through regularly-spaced cylinders is studied by solving numerically the Navier-Stokes equations. Further, the flow of a viscous fluid between two parallel plates interconnected by regularly-spaced cylinders is studied using Hele-Shaw method. The former flow corresponds to the case where the gap between membranes is wide and the effects can be completely neglected. The latter flow corresponds to the case where the gap between membranes is narrower than the spacing of the cylinders.