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.
V. K. acknowledges the support of the Swedish Research Council (VR) grant EO418401. S. N. was supported by the Russian Foundation for Basic Research, project no. 18-01-00325, and by Link ̈oping University (Sweden). G. Z. was supported by Link ̈oping University, and by RFBR grant 16-31-60112.
Citation:
V. A. Kozlov, S. A. Nazarov, G. L. Zavorokhin, “Pressure drop matrix for a bifurcation with defects”, Eurasian Journal of Mathematical and Computer Applications, 7:3 (2019), 33–55
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\by V.~A.~Kozlov, S.~A.~Nazarov, G.~L.~Zavorokhin
\paper Pressure drop matrix for a bifurcation with defects
\jour Eurasian Journal of Mathematical and Computer Applications
\yr 2019
\vol 7
\issue 3
\pages 33--55
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\crossref{https://doi.org/10.32523/2306-6172-2019-7-3-33-55}
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https://www.mathnet.ru/eng/ejmca136
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This publication is cited in the following 1 articles:
Vladimir Kozlov, Sergei Nazarov, German Zavorokhin, “Modeling of Fluid Flow in a Flexible Vessel with Elastic Walls”, J. Math. Fluid Mech., 23:3 (2021)
Citation in format AMSBIB
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