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Thermophysics and Aeromechanics

2007 year, number 2

Growth criterion for small dry spots in the falling liquid films

L.I. Maltsev and D.S. Zavarzin
Kutateladze Institute of Thermophysics SB RAS, Novosibirsk, Russia
Pages: 231–240


In thin films of liquid falling over an inclined surface random (or non-random) small dry spots shut and disappear or expand into the large-scale dry spots depending on the initial spot sizes and parameters of the liquid film. On consideration of the gravity forces, inertial forces of the film and surface tension, affecting the elements of a roller surrounding the dry spot, we have formulated a criterion, which helped us to answer the following question: if this spot shuts or not? This criterion includes the numbers of Bond and Reynolds and the contact wetting angle as the determining parameters. It is generalization of the known Hartley