Force density
In fluid mechanics, the force density is the negative gradient of pressure. It 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:
\[\mathbf{f} = - \nabla P \].
The net force on a differental volume element dV of the fluid is:
\[d\mathbf{F} = \mathbf{f}dV\]
Thus, the force density at a point in a fluid, divided by the density, is the acceleration of the fluid at that point.[1]
References
- ↑ Force Density. Eric Weisstein's World of Physics. Accessed March 8th, 2012.
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