Numerical Solution of Newtonian and Non - Newtonian Flows in Bypass

Kód výsledku v 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>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Numerical Solution of Newtonian and Non - Newtonian Flows in Bypass

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Numerical Solution of Newtonian and Non - Newtonian Flows in Bypass

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BK - Mechanika tekutin

OECD FORD obor

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Projekt

<a href="/cs/project/IAA100190804" target="_blank" >IAA100190804: Pohyb tuhých těles v kapalinách: matematická analýza, numerická simulace a související problémy</a><br>

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2009

Kód důvěrnosti údajů

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

Název periodika

PAMM (Proceedings in Applied Mathematics and Mechanics)

ISSN

1617-7061

e-ISSN

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Svazek periodika

8

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

2

Strana od-do

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Kód UT WoS článku

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EID výsledku v databázi Scopus

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