Kinematics of a Cylindrical Particle at Low Reynolds Numbers in Asymmetrical Conditions
Article dans une revue avec comité de lecture
Date
2019Journal
Journal of Applied Fluid MechanicsAbstract
This paper concerns the hydrodynamic interactions on a cylindrical particle in non-dilute regime at low Reynolds numbers. The particle moves between two parallel walls with its axis parallel to the boundaries. A numerical finite-volume procedure is implemented and a generalized resistance matrix is built by means of the superposition principle. Three problems are solved: the settling of the particle, the transport of a neutrally and of a non-neutrally buoyant particle in a Poiseuille flow. Concerning sedimentation, the settling velocity is maximal off the symmetry plane and decreases when the confinement increases. The particle rotates in the direction opposite to that of contact rolling. The particle induces a high pressure zone in the front and a low pressure zone in the back, the difference of which is maximal in the symmetry plane. For a neutrally-buoyant particle, the hydrodynamic interactions lead to a velocity lag between the particle and the undisturbed flow. The magnitude of the velocity lag increases with confinement and eccentricity. The angular velocity and pressure difference are opposite to the previous case. For a non-neutrally buoyant particle, three situations are found depending on a dimensionless parameter similar to an inverse Shields number. For its extreme low and high values, the particle is respectively either carried by the flow or settles against it whatever its position. For intermediate values, the particle either settles close to the walls or is dragged by the flow close to the symmetry plane. Similar results are obtained for the angular velocity and the pressure difference. All these results question the assumption usually met in particulate transport in which the kinematics of the particle is often supposed to be that of the flow.
Files in this item
Related items
Showing items related by title, author, creator and subject.
-
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; 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 lectureThe objective of this paper is to provide a numerical simulation and an experimental study in order to assess stiffness and damping characteristics of thrust air bearings with multiple orifices. Finite element modeling is ...
-
Communication avec acteMALVAULT, Guillaume; OUKHLEF, Aimad; AHMADI-SENICHAULT, Azita; AMBARI, Abdelhak; RODRIGUEZ DE CASTRO, Antonio; CHAMPMARTIN, Stephane (2013)La caractérisation des milieux poreux (M.P.) en termes de porosité, de surface spécifique, de distribution de tailles des pores etc. est un enjeu important pour de nombreuses filières industrielles : récupération assistée ...
-
Identification de la distribution de tailles de pores d'un milieu poreux par analyse fréquentielle Communication avec acteCette communication présente une nouvelle approche pour aider à la caractérisation de la topologie des milieux poreux en termes de distribution de tailles de pores (DTP). Cette technique repose sur l’analyse dynamique de ...