Hydrodynamic establishment of a liquid film
resulting from poiseuille flow type
A. Zouana1*, C. Philippe2, M. Hounkanlin2
1Université Cadi Ayyad, Ecole Supérieure de Technologie de Safi, Maroc.
2Laboratoire d’Etudes Aérodynamiques- URA191 CNRS, Poitiers, France.
Received: 31 May 2014; revised version accepted: 26 October 2014
We present, in a synthetic way, the improved study on the establishment of smooth laminar regime at high Reynolds numbers, Froude and Weber by a method of asymptotics expansions. Then, we propose an analytical model for the field of velocity in the laminar hydrodynamic boundary layer of a non- established liquid film streaming on an inclined plane and extending an established flow between two parallel half- planes. Finally, the hydrodynamic characteristics of the film are calculated and analyzed showing the influence of gravity on: the parietal gradients of longitudinal velocity, the thickness of the film, and on the velocity at the free surface of the liquid film.
Keywords: flowing liquid film ; Inclined plane ; Establishment of the film; Laminar regime ; Method of asymptotic expansions; Poiseuille flow ; Nusselt flow ; Hydrodynamic characteristics.