Equilibrium of a liquid in a spherical shell caused by gravity, surface tension, and van der Waals forces

Lawrence S. Mok, Kyekyoon Kim, Thomas P. Bernat

Research output: Contribution to journalArticle


A rigorous proof is presented which shows that the classical Young-Laplace equation cannot predict a continuous liquid layer inside a spherical-shell container. An augmented Young-Laplace equation is in turn derived to describe the equilibrium profiles of a continuous liquid hydrogen layer inside a spherical-shell inertial fusion target. The augmentation is achieved by adding to the total free energy a term originating from the attractive intermolecular forces of the van der Waals type.

Original languageEnglish (US)
Pages (from-to)1227-1232
Number of pages6
JournalPhysics of fluids
Issue number5
StatePublished - Jan 1 1985


ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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