Title :
The Modeling of Pulsatile Blood Flow as Cross-Williamson and Carreau Fluids in an Artery with a Partial Occlusion
Author :
Esmaeili, Mostafa ; Javadzadegan, Ashkan ; Marashi, Seid Ehsan
Author_Institution :
Dept. of Mech. Eng., Univ. of Tehran, Tehran
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.
Keywords :
blood vessels; haemodynamics; non-Newtonian flow; non-Newtonian fluids; pulsatile flow; heat flux; incompressible nonNewtonian models; partial occlusion; pulsatile blood flow; stenosed artery; tapered arterial lumen; time-variant stenoses; Acceleration; Arteries; Blood flow; Computational modeling; Equations; Heat transfer; Heat treatment; Mathematical model; Mechanical engineering; Stress; artery; partial occlusion; pulsatile blood flow; stenoses;
Conference_Titel :
Computer Modeling and Simulation, 2008. EMS '08. Second UKSIM European Symposium on
Conference_Location :
Liverpool
Print_ISBN :
978-0-7695-3325-4
Electronic_ISBN :
978-0-7695-3325-4
DOI :
10.1109/EMS.2008.109