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Numerical Solution of Newtonian and Non - Newtonian Flows in Bypass

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F09%3A00167177" target="_blank" >RIV/68407700:21220/09:00167177 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Numerical Solution of Newtonian and Non - Newtonian Flows in Bypass

  • Original language description

    This paper deals with a numerical solution of laminar incompressible steady flows of Newtonian and non-Newtonian fluids through bypass of a restricted vessel. Blood flow is considered to be Newtonian in the case of vessels of large diameters as aorta. Onthe other hand, with decreasing diameter of a vessel the non-Newtonian behavior of blood can play a significant role. One could describe these problems using Navier-Stokes equations and continuity equation as a model. In the case of Newtonian fluids oneconsiders constant viscosity compared to non-Newtonian fluids where viscosity varies and can depend on the tensor of deformation. In order to find numerical solution, the system of equations is completed using an artificial compressibility method. The space derivatives are discretised using a cell centered finite volume method and arising system of ordinary differential equations is solved using an explicit multistage Runge-Kutta method with given steady boundary conditions.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BK - Liquid mechanics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/IAA100190804" target="_blank" >IAA100190804: The motion of rigid bodies in liquid: mathematical analysis, numerical simulation and related problems</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2009

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    PAMM (Proceedings in Applied Mathematics and Mechanics)

  • ISSN

    1617-7061

  • e-ISSN

  • Volume of the periodical

    8

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    2

  • Pages from-to

  • UT code for WoS article

  • EID of the result in the Scopus database