The modeling of pulsatile blood flow as Cross-Williamson and Carreau fluids in an artery with a partial occlusion

Mostafa Esmaeili*, Ashkan Javadzadegan, Seid Ehsan Marashi

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference proceeding contribution

Abstract

In the present article behavior of pulsatile blood flow through stenoses is studied using the incompressible non-Newtonian models. The non-Newtonian models chosen are characterized by the Carreau and Cross-Williamson models incorporating the effect of tapering due to the pulsatile nature of blood flow. The flow mechanism in the stenosed artery subject to a pulsatile pressure gradient arising from the normal functioning of the heart has been considered. An improved shape of the time-variant stenoses present in the tapered arterial lumen is given mathematically in order to update resemblance to the in vivo situation. Results were compared with powerlaw model and the differential approximation for the heat flux is invoked in the energy equation. The effect of heat transfer on the velocity is computed and discussed.

Original languageEnglish
Title of host publicationProceedings - EMS 2008, European Modelling Symposium, 2nd UKSim European Symposium on Computer Modelling and Simulation
EditorsDavid Al-Dabass, Atulya Nagar, Hissam Tawfik, Ajith Abraham, Richard Zobel
Place of PublicationLos Alamitos, CA
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages191-196
Number of pages6
ISBN (Print)9780769533254
DOIs
Publication statusPublished - 2008
Externally publishedYes
EventEMS 2008, European Modelling Symposium, 2nd UKSim European Symposium on Computer Modelling and Simulation - Liverpool, United Kingdom
Duration: 8 Sep 200810 Sep 2008

Other

OtherEMS 2008, European Modelling Symposium, 2nd UKSim European Symposium on Computer Modelling and Simulation
CountryUnited Kingdom
CityLiverpool
Period8/09/0810/09/08

Keywords

  • Artery
  • Partial occlusion
  • Pulsatile blood flow
  • Stenoses

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