A force density is force per unit volume, measured in . Pressure gradients, the divergence of a viscous stress and gravitational body force have this dimension in a local momentum balance.
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Force density is a physical concept often used in fields like physics and engineering, particularly in the context of continuum mechanics and material science. It is defined as the force per unit volume applied to a material or system. In mathematical terms, force density \(\mathbf{f}\) is expressed as: \[ \mathbf{f} = \frac{\mathbf{F}}{V} \] where \(\mathbf{F}\) is the total force acting on the volume \(V\).