A vector pointing along the fluid velocity $\begin{array}{l}{\bf u}\end{array}$ and absolute value of the mass flux:

$\begin{array}{l}\displaystyle [\bf j_m} = j_m \ {\bf n}\end{array}$

where

$\begin{array}{l}{\bf n} = {\bf u}/ {| {\bf u} |}\end{array}$

unit vector of the fluid velocity $\begin{array}{l}{\bf u}\end{array}$

It can be also expressed as:

$\begin{array}{l}\displaystyle [\bf j_m} = \rho \ {\bf u}\end{array}$

where

$\begin{array}{l}\rho\end{array}$

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See also