Precise analysis of blood flow through arteries requires coupling of the blood
flow with the elastic deformation of the blood vessel. To capture the main
feature of blood flow through aneurysm arteries and to keep the model simple,
the effect of the deformation of blood vessels on blood flow is neglected. It
has been generally accepted that human blood behaves as a Newtonian fluid
when the shear rate is greater than 100 s−1
. However, when the shear rate
is lower than 100 s−1
, blood behaves as a non-Newtonian fluid, and the shear
stresses depend nonlinearly on the deformation rate. In pulsatile blood flow,
the instantaneous shear rate over a cardiac cycle may vary from zero to more
than 1000 s−1
depending on the problem under examination. If human blood
is modelled as a non-Newtonian fluid, the stress-deformation rate relation is
described by
Precise analysis of blood flow through arteries requires coupling of the blood
flow with the elastic deformation of the blood vessel. To capture the main
feature of blood flow through aneurysm arteries and to keep the model simple,
the effect of the deformation of blood vessels on blood flow is neglected. It
has been generally accepted that human blood behaves as a Newtonian fluid
when the shear rate is greater than 100 s−1
. However, when the shear rate
is lower than 100 s−1
, blood behaves as a non-Newtonian fluid, and the shear
stresses depend nonlinearly on the deformation rate. In pulsatile blood flow,
the instantaneous shear rate over a cardiac cycle may vary from zero to more
than 1000 s−1
depending on the problem under examination. If human blood
is modelled as a non-Newtonian fluid, the stress-deformation rate relation is
described by
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