Effects of Flow Parameters on Flow Variables of a Newtonian Fluid through a Cylindrical Collapsible Tube

Abstract

The dynamics of fluid flow in collapsible tube are vital in understanding the behavior and analysis of flow phenomenon in veins, arteries, airways, urethra, etc. These fluid-conveying vessels in human body are highly flexible and collapsible, and accommodate deformation that result to a highly noncircular cross sectional area. This research aimed at determining the effects of various flow parameters on the flow variables of a Newtonian fluid flowing through a cylindrical collapsible tube. The tube is considered collapsible in the transverse direction, taken to be perpendicular to the main flow direction. The mathematical model in this study can be employed to simulate biological fluid flows such as blood flow in the arteries and veins. The equations governing the flow i.e. the continuity equation, the momentum equation and the tube law have been discussed. The results are presented in form of graphs. The results show that the flow parameters considered are directly proportional to both the cross sectional area and internal pressure and inversely proportional to the flow velocity

Keywords: collapsible tube, flow parameters, flow variables, transverse direction