I am looking for the above mentioned equation. Ultimately I am trying to quantify the range of pressure difference available for a mop or microfiber material. Also I want to understand how the fiber diameter impacts the pressure head.

 

I have been looking on the internet to no avail.

 

Any help would be greatly appreciated!!!

Please don't take this as an insult, but Google comes up with over 300,000 pages. Some of the first ones the equation you are looking for:

 

http://ising.phys.cwru.edu/surfactants/droplets2.html

 

http://www.itconceptfr.com/BrochureTracker/Documentation_Tracker_VA.htm

 

and many, many more.

 

Also, any decent fluids textbook that has a surface tension chapter will have plenty of info about the Young-Laplace equation.

 

p.s. I've also always heard it called the Young-Laplace equation (not L-Y), though results come up in both orders. Either way, there are several thousand good webpages out there.