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Numerical implementation of viscoelastic blood flow in a simplified arterial geometry.
Med Eng Phys 2007; 29(4):491-6ME

Abstract

The influence of the non-Newtonian stress-strain relation of blood on the oscillatory shear index (OSI) and mean wall shear stress (WSS) are described. The unsteady linear 1D momentum equation is solved for a viscoelastic fluid, with six elements of the Maxwell type and one dashpot element connected in parallel. A novel numerical algorithm is described which uses the upwind finite difference method to solve the equation of momentum. Results obtained by using a finite difference approach show significantly higher values of OSI when blood is assumed to be a viscoelastic fluid compared with those of simplified Newtonian fluid model. The calculation of OSI in human normal conditions for the Newtonian fluid differs in 12% (if alpha=0.02) from the results obtained from using the viscoelastic model.

Authors+Show Affiliations

Departamento de Ingeniería Mecánica, Tecnologías de Fabricación, Universidad Politécnica de Cataluña-ETSEIB, Av. Diagonal 647, 08028 Barcelona, Spain. hernan.gonzalez@upc.edu

Pub Type(s)

Journal Article

Language

eng

PubMed ID

16919988

Citation

Rojas, Hernán A González. "Numerical Implementation of Viscoelastic Blood Flow in a Simplified Arterial Geometry." Medical Engineering & Physics, vol. 29, no. 4, 2007, pp. 491-6.
Rojas HA. Numerical implementation of viscoelastic blood flow in a simplified arterial geometry. Med Eng Phys. 2007;29(4):491-6.
Rojas, H. A. (2007). Numerical implementation of viscoelastic blood flow in a simplified arterial geometry. Medical Engineering & Physics, 29(4), pp. 491-6.
Rojas HA. Numerical Implementation of Viscoelastic Blood Flow in a Simplified Arterial Geometry. Med Eng Phys. 2007;29(4):491-6. PubMed PMID: 16919988.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - Numerical implementation of viscoelastic blood flow in a simplified arterial geometry. A1 - Rojas,Hernán A González, Y1 - 2006/08/21/ PY - 2005/01/19/received PY - 2006/06/20/revised PY - 2006/07/04/accepted PY - 2006/8/22/pubmed PY - 2007/4/5/medline PY - 2006/8/22/entrez SP - 491 EP - 6 JF - Medical engineering & physics JO - Med Eng Phys VL - 29 IS - 4 N2 - The influence of the non-Newtonian stress-strain relation of blood on the oscillatory shear index (OSI) and mean wall shear stress (WSS) are described. The unsteady linear 1D momentum equation is solved for a viscoelastic fluid, with six elements of the Maxwell type and one dashpot element connected in parallel. A novel numerical algorithm is described which uses the upwind finite difference method to solve the equation of momentum. Results obtained by using a finite difference approach show significantly higher values of OSI when blood is assumed to be a viscoelastic fluid compared with those of simplified Newtonian fluid model. The calculation of OSI in human normal conditions for the Newtonian fluid differs in 12% (if alpha=0.02) from the results obtained from using the viscoelastic model. SN - 1350-4533 UR - https://www.unboundmedicine.com/medline/citation/16919988/Numerical_implementation_of_viscoelastic_blood_flow_in_a_simplified_arterial_geometry_ L2 - https://linkinghub.elsevier.com/retrieve/pii/S1350-4533(06)00144-5 DB - PRIME DP - Unbound Medicine ER -