Three-dimensional flows of incompressible Navier–Stokes fluids in tubes containing a sinus, with varying slip conditions at the wall
2022
Abstract
The objective of this study is to understand the formation of vortices and other flow characteristics associated with the three-dimensional motions of an incompressible Navier-Stokes fluid in tubes containing a sinusoidal extension. The study has some bearing on two conjectures that da Vinci made concerning the flow of blood through the aortic root.
We investigate how the flow attributes change with increasing sinus radius and with the nature of the slip at the tube wall characterized by the parameter θ, 0=0.9, while for more significant slip, i.e. for θ<0.9, we again obtained two different solutions under the same initial and boundary conditions.