Pressure and the Young-Laplace Equation

[member 428835]

Good. Now, there are a couple of ways to proceed further with the dimensional analysis. One way is to now set $s_0=g/\omega^2$, so that the coefficient of Z is unity. What does this give you?

The important thing is to assimilate this kind of methodology for reducing the equations for a system to dimensionless form.

I couldn't agree more. How did you know to scale $Z$ with $R^2$, which is to say what to set as $O(1)$?

 

[Chestermiller]

I couldn't agree more. How did you know to scale $Z$ with $R^2$, which is to say what to set as $O(1)$?

I wanted the terms for the case of zero surface tension to be preserved in the limit of zero surface tension.