Author/Authors :
Kozlov, V.A. Department of Mathematics - Link ̈oping University, Link ̈oping, Sweden , Nazarov, S.A. Institute of Problems of Mechanical Engineering RAS - laboratory "Mathematical Methods in Mechanics of Materials" - St.Petersburg State University, Petersburg, Russia , Zavorokhin, G.L. St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia
Abstract :
We consider a bifurcation of an artery. The influence of defects of the vessel’s
wall near the bifurcation point on the pressure drop matrix is analyzed. The elements
of this matrix are included in the modified Kirchhoff transmission conditions, which
were introduced earlier in [1], [2], and which describe adequately the total pressure loss
at the bifurcation point of the flow passed through it.
Keywords :
Stokes flow , bifurcation of a blood vessel , modified Kirchhoff conditions , pressure drop matrix , total pressure loss
