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In fluid mechanics, the 'force density' has the physical dimensions of force per unit volume. Force density is a vector field representing the flux density of the hydrostatic force within the bulk of a fluid. Force density is represented by the symbol 'f', and given by the following equation, where ''P'' is the pressure:
:$mathbf\{f\}\; =$
abla P .
The net force on a differental volume element ''dV'' of the fluid is:
:$dmathbf\{F\}\; =\; mathbf\{f\}dV$
Thus, the force density at a point in a fluid, divided by the density, is the acceleration of the fluid at that point.