The initial-boundary problem for the system of 1D equations of non-Newtonian hemodynamics

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Abstract

The paper is devoted to the analytical solution of the problem for 1D hemodynamical equations with periodic boundary conditions. The method of the solution is based on the asymptotic expansions on the small parameter and Fourier method. The attention is focused only on the first-order terms in the expansion. The solution, obtained for the particular case of initial conditions, is used for the comparison of rheological models of blood. It is demonstrated that the strongest damping takes place for the Power Law non-Newtonian model.

Original languageEnglish
Article number012075
JournalJournal of Physics: Conference Series
Volume1697
Issue number1
DOIs
StatePublished - 17 Dec 2020
EventInternational Conference PhysicA.SPb 2020 - ФТИ им. А.Ф. Иоффе, Санкт-Петербург, Russian Federation
Duration: 19 Oct 202023 Oct 2020
http://physica.spb.ru/

Scopus subject areas

  • Physics and Astronomy(all)

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