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PRESSURE DROP MATRIX FOR A BIFURCATION WITH DEFECTS
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
St Petersburg State Univ, Russia; RAS, Russia.
Steklov Math Inst, Russia.
2019 (English)In: EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS, ISSN 2306-6172, Vol. 7, no 3, p. 33-55Article in journal (Refereed) Published
Abstract [en]

We consider a bifurcation of an artery. The influence of defects of the vessels 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.

Place, publisher, year, edition, pages
L N GUMILYOV EURASIAN NATL UNIV , 2019. Vol. 7, no 3, p. 33-55
Keywords [en]
Stokes flow; bifurcation of a blood vessel; modified Kirchhoff conditions; pressure drop matrix; total pressure loss
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:liu:diva-161640DOI: 10.32523/2306-6172-2019-7-3-33-55ISI: 000487562600003OAI: oai:DiVA.org:liu-161640DiVA, id: diva2:1367678
Note

Funding Agencies|Swedish Research Council (VR)Swedish Research Council [EO418401]; Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [18-01-00325]; Linkoping University (Sweden); Linkoping University; RFBRRussian Foundation for Basic Research (RFBR) [16-31-60112]

Available from: 2019-11-04 Created: 2019-11-04 Last updated: 2019-11-04

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Citation style
  • apa
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  • Other style
More styles
Language
  • de-DE
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  • nn-NB
  • sv-SE
  • Other locale
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Output format
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  • asciidoc
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