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{\large
\begin{eqnarray*}
\rho (\frac{d \textbf{v}}{dt}+\textbf{v} \cdot \nabla \textbf{v})=- \nabla p + \mu \nabla ^2 \textbf{v} + \textbf{f}
\end{eqnarray*}
}

In the equations above,

{\large\begin{equation*}\mu_{eff}\end{equation*}}

is the effective viscosity.

{\large\begin{equation*}\mu_0, \mu_{inf}, \lambda \textrm{ and } n\end{equation*}}

are material coefficients.
For the case of blood [2],

{\large
\begin{align*}\\
&\mu_0=0.056(kg/m \cdot s)\\
&\mu_{inf}=0.0035(kg/m\cdot s)\\
&\lambda=3.313(s)\\
&n=0.3568
\end{align*}
}

Boundary Conditions

Wall:

The easiest boundary condition to determine is the artery wall. We simply need to define the wall regions of this model and set it to “wall”. From a physical viewpoint, the “wall” condition dictates that the velocity at the wall is zero.

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