New identities for sessile drops
  A new set of mathematical identities is presented for axi-symmetric sessile drops on flat and curved substrates. The geometrical parameters, including the apex curvature and height, and the contact radius, are related by the identities. The validity of the identities are checked by various numerical solutions both for flat and curved substrates. 
Maryam Hajirahimi, Fahimeh Mokhtari, Amir H. Fatollahi
physics.flu-dyn cond-mat.soft