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| Latex |
|---|
{\large
\begin{eqnarray*}
\frac{\partial \rho}{\partial t} + \nabla \cdot (\rho \textbf{v})=0
\end{eqnarray*}
}
|
However, as blood can be regarded as an incompressible fluid, the rate of density change is zero, thus since we are considering only the steady case, the time-dependent term is zero. Thus, the continuity equation above can be further simplified in the form below:
| Latex |
|---|
{\large
\begin{eqnarray*}
\nabla \cdot \textbf{v}=0
\end{eqnarray*}
}
|
The Navier-Stokes Equation is written as follows:
| Latex |
|---|
{\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*}
}
|
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