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Finite volume method for falling liquid films carrying monodisperse spheres in Newtonian regime
Author(s) -
Bohorquez Patricio
Publication year - 2012
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.13863
Subject(s) - mechanics , newtonian fluid , spheres , volume of fluid method , suspension (topology) , falling (accident) , classification of discontinuities , finite volume method , wetting , instability , classical mechanics , viscous liquid , surface tension , materials science , physics , thermodynamics , flow (mathematics) , mathematics , mathematical analysis , medicine , environmental health , astronomy , homotopy , pure mathematics
A finite volume method is proposed to study the dynamics of unsteady, falling liquid films carrying monodisperse spheres in Newtonian regime under the action of gravity. The Navier–Stokes equations were rewritten to implement a numerical scheme with interface capturing capability, able to compute discontinuities in the solid volumetric concentration and free surface flows. The interface capturing property is checked with simple benchmarks, showing that experimental data for a vertical settler and the dynamics of the wetting front in a thin liquid film are reproduced with success. Also, the numerical scheme computes with accuracy Kapitza instability or viscous roll waves. This work concludes illustrating the applicability of the model to study viscous resuspension phenomenon in a unsteady, falling suspension film. © 2012 American Institute of Chemical Engineers AIChE J, 58: 2601–2616, 2012