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.

* Corresponding author. E-mail: abdellatif.zouana@gmail.com /// a.zouana@uca.ma

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.




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