Slow motion of a sphere towards a plane through confined non-Newtonian fluid
Article dans une revue avec comité de lecture
Date
2012Journal
Journal of Non-Newtonian Fluid MechanicsRésumé
The time needed for the contact of two spheres or a sphere with a rigid plane is mainly controlled by the hydrodynamic drainage of the film located in the gap as long as its thickness is out of range of the Van der Waals interactions. In fact, this time controls the dynamics of aggregation of concentrated dispersions. This fundamental problem has an exact solution in Newtonian fluid which has been used to confirm the validity of the numerical dynamic mesh method employed in this geometrically unsteady problem. Following this validation, we applied it to calculate the correction factor of the drag undergone by a sphere approaching a plane, at constant Reynolds number, in a cylindrical tube filled with a non-Newtonian fluid having negligible viscoelastic component and roughly behaving as a power-law fluid. After a justification for using this useful model, we studied the influence of the lateral confinement on the frontal correction factor of the drag. In the lubrication limit, we recall the asymptotic solution of Rodin to this problem in lateral unbounded power law fluid. The comparison of both asymptotical and numerical results confirms their validity. The results obtained in this study may find an application to Dynamic Surface Force Apparatus for nanorheology.
Fichier(s) constituant cette publication
Cette publication figure dans le(s) laboratoire(s) suivant(s)
Documents liés
Visualiser des documents liés par titre, auteur, créateur et sujet.
-
Conséquences du confinement dans le transfert de chaleur sur une sphère dans un fluide non newtonien Communication avec acteDESPEYROUX, Antoine; AMBARI, Abdelhak; BEN RICHOU, Abderrahim; CHAMPMARTIN, Stephane (Société Française de Thermique / Congrès Français de Thermique - Energies et transports durables, 25 - 28 mai 2010, Le Touquet, 2010)Le phénomène de transfert de chaleur ou de masse sur une particule sphérique en situation d’interactions hydrodynamiques et thermiques ou massiques est d’un intérêt majeur pour de nombreux problèmes rencontrés dans les ...
-
Article dans une revue avec comité de lectureDESPEYROUX, Antoine; AMBARI, Abdelhak (Springer Verlag, 2012)In the lubrication limit, the time needed for the drainage of the liquid film between two particles or between particles and walls is of industrial importance, because it controls the dynamics and aggregation of nondilute ...
-
Article dans une revue avec comité de lectureDESPEYROUX, Antoine; AMBARI, Abdelhak; BEN RICHOU, Abderrahim (Elsevier, 2011)The present work deals with the numerical calculation of the Stokes-type drag undergone by a cylindrical particle perpendicularly to its axis in a power-law fluid. In unbounded medium, as all data are not available yet, ...
-
Article dans une revue avec comité de lectureDIOP, Khadim; CHARKI, Abdérafi; AMBARI, Abdelhak; CHAMPMARTIN, Stephane (Trans Tech Publications, 2015)Journal fluid bearings are widely used in industry due to their static and dynamic behavior and their very low coefficient of friction. The technical requirements to improve the new technologies design are increasingly ...
-
Article dans une revue avec comité de lectureIn this paper, we present a new method to determine the pore-size distribution (PSD) in a porous medium. This innovative technique uses the rheological properties of non-Newtonian yield stress fluids flowing through the ...