Interfacial stress balance with variable surface tension
= Interfacial stress balance with variable surface tension
Across a fluid interface, the jump in normal traction is the surface tension times curvature, while the tangential traction jump is the surface gradient of surface tension. For one common normal convention,
$$
(\boldsymbol\sigma_+-\boldsymbol\sigma_-)\mathbin\cdot\mathbf n
=\gamma\kappa\mathbf n-\nabla_s\gamma.
$$