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

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.

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*Medical Engineering & Physics,*vol. 29, no. 4, 2007, pp. 491-6.

*Med Eng Phys*. 2007;29(4):491-6.

*Medical Engineering & Physics,*

*29*(4), pp. 491-6.

*Med Eng Phys.*2007;29(4):491-6. PubMed PMID: 16919988.