As explained in the previous posts (link), the behavior of mechanical seals is governed by several physical phenomena in interaction: lubrication, asperity contact, heat transfer, deformation. It makes the analytical calculation of mechanical seals complicated.
The software SimMS (Simulation of Mechanical Seal) that I developed at Institut Pprime is now available online (SimMS Online) thanks to Uniwaresity. It is a useful tool to compute the behavior of mechanical seal.

Example of simulation with SimMS (source Uniwaresity)