Modeling and Computation of a liquid-vapor bubble formation

André Galligo (1, 2) , Frédéric Lesage (3) , Sebastian Minjeaud (2)

1 AROMATH - AlgebRe, geOmetrie, Modelisation et AlgoriTHmes
2 LJAD - Laboratoire Jean Alexandre Dieudonné
3 LCPI - Laboratoire Conception de Produits et Innovation

The Capillary Equation correctly predicts the curvature evolution and the length of a quasi-static vapour formation. It describes a two-phase interface as a smooth curve resulting from a balance of curvatures that are influenced by surface tension and hydrostatic pressures. The present work provides insight into the application of the Capillary Equation to the prediction of single nu-cleate site phase change phenomena. In an effort to progress towards an application of the Capillary Equation to boiling events, a procedure to generating a numerical solution, in which the computational expense is reduced, is reported.

Mots clés: boiling

Domaines: Géométrie différentielle [math.DG]; Equations aux dérivées partielles [math.AP]; Physique [physics]

André Galligo, Frédéric Lesage, Sebastian Minjeaud. Modeling and Computation of a liquid-vapor bubble formation. Université Côte d'Azur Complex Days, M. Argentina; S. Barland; P. Reynaud-Bouret; F. Cauneau; K. Guillouzouic; U. Kuhl; T. Passot; F. Planchon, Jan 2018, Nice, France. ⟨hal-01984782⟩