Christoffel symbols
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:
The net force on a differental volume element dV of the fluid is:
Thus, the force density at a point in a fluid, divided by the density, is the acceleration of the fluid at that point.
References
- ↑ Force Density. Eric Weisstein's World of Physics. Accessed March 8th, 2012.