Numerical investigation of blood flows with slip boundary conditions

Abstract: Most studies of patient-specific blood flow models prescribe a no-slip boundary condition at the walls. Although its implementation is straightforward, its validity at the blood-vessel wall interface is questionable. It has been suggested in (Nubar, 1971) for example, that a slip boundary condition can be considered for blood flow in certain situations. We will discuss some effects of prescribing the Navier-type slip boundary condition, which assumes a linear proportionality between the tangential part of the wall velocity and the shear stress using an additional parameter. Given some measured flow data, for example modern 4D-PC MRI image, we use variational data assimilation approach to estimate the Navier's slip parameter on the wall for real data.

MathematicsPhysics

Audience: researchers in the topic

Nečas Seminar on Continuum Mechanics

Series comments: This seminar was founded on December 14, 1966.

Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Prague 8. If not written otherwise, we will meet on Mondays at 15:40 in lecture hall K3 (2nd floor)