Vibrations of liquid drops in film boiling phenomena: the mathematical model.

Pierre Casal , Henri Gouin (1, 2)

1 LMMT - Laboratoire de Modélisation Mécanique et Thermodynamique, EA 2596
2 IUSTI - Institut universitaire des systèmes thermiques industriels

Flattened liquid drops poured on a very hot surface evaporate quite slowly and float on a film of their own vapour. In the cavities of a surface, an unusual type of vibrational motions occurs. Large vibrations take place and different forms of dynamic drops are possible. They form elliptic patterns with two lobes or hypotrochoid patterns with three lobes or more. The lobes are turning relatively to the hot surface. We present a model of vibrating motions of the drops. Frequencies of the vibrations are calculated regarding the number of lobes. The computations agree with experiments.

Mots clés: vibrations; liquid drop; film boiling

Domaines: Mécanique des fluides [physics.class-ph]; Physique mathématique [math-ph]

Pierre Casal, Henri Gouin. Vibrations of liquid drops in film boiling phenomena: the mathematical model.. International Journal of Engineering Science, 1994, 32 (10), pp.1553-1560. ⟨10.1016/0020-7225(94)90163-5⟩. ⟨hal-00258503⟩