Stefan equation force-time product

If I want to understand the spreading of a viscous liquid between two plates where I'm pushing down with one plate on the other — I sometimes call this the Scotch tape lecture. If you're trying to apply Scotch tape, you press that tape onto the surface, and it has this sticky adhesive, but you want to understand how thin you can get that joint, because that gets to be critical particularly for type one. There's something called the Stefan equation. If you go through Bikerman's book — I never have figured out if this is the same Stefan of Stefan-Boltzmann — he treats it as kinetics. You have some velocity, some height H times the length, you're flowing it out, and you've got some force necessary to do this. He goes through and solves all this. It ends up with a formula that says the force times the time over which you're doing this — because think of a shock absorber, you're pushing a viscous liquid, so the faster you push the bigger the force, the slower you do it the lower the force — the force-time product is equal to three times the viscosity times V which is volume, over 1 over H to the 4th which is the initial thickness, minus 1 over H₁ to the 4th which is the final thickness.