Pressure gradient and friction factor for sedimentation and fluidisation of uniform spheres in liquids (original) (raw)

Analytical study of unsteady sedimentation analysis of spherical particle in Newtonian fluid media

Thermal Science, 2018

Unsteady settling behavior of solid spherical particles falling in water as a Newtonian fluid is investigated in this research. Least square method (LSM), Galerkin method, LSM-Pad?, and numerical model are applied to analyze the characteristics of the particles motion. The influence of physical parameters on terminal velocity is discussed and it is showed that LSM and Galerkin method are efficient techniques for solving the governing equation. Among these methods, LSM-Pad? demonstrates the best agreement with numerical results. The novelty of this work is to introduce new analytical methods for solving the non-linear equation of sedimentation applicable in many industrial and chemical applications.

Measurement of the average velocity of sedimentation in a dilute polydisperse suspension of spheres

Journal of Fluid Mechanics, 1990

An X-ray attenuation technique is used to obtain the local concentration of spherical particles in a polydisperse suspension as a function of vertical position and time. From these experimental data, the average velocity of sedimentation in the homogeneous part of the suspension is derived by considering the variation with time of the total volume of particles located above a given fixed horizontal plane. Measurements have been performed in suspensions of particles which differ from each other in size with a total volume concentration in particles between 0.13% and 2.5%, and also in suspensions of particles which differ from each other both in size and in density, the total volume concentration being 2%. For the first kind of suspension, the experimental hindered settling factor is plotted versus the concentration and a linear regression analysis provides the slope with its 90% confidence limits: Se = −5.3 ± 1.1. This experimental average coefficient of sedimentation is in good agre...

Sedimentation of polydisperse particles at low Reynolds numbers in inclined geometries. Numerical and laboratory experiments

2016

RESUMEN DE TESIS PARA OPTAR AL GRADO DE DOCTOR EN CIENCIAS DE LA INGENIERÍA MENCIÓN FLUIDODINÁMICA POR: SERGIO PALMA M. PROF. GUÍA: CHRISTIAN IHLE B. Sedimentation of polydisperse particles at low Reynolds numbers in inclined geometries Numerical and laboratory experiments Hydraulic transport of particles at high concentrations in the industry is a widely used technique to deliver different sorts of granular materials by carrying them mixed with fluid, water in most cases. In the first chapter of this thesis, we will discuss the most important aspects of the dynamics of suspensions. In particular, we will explain the physics of dilute suspensions, semi dilute suspensions and concentrated suspensions. Additionally, a review of sedimentation of particles will be presented. Sedimentation is a process by which solid particles are separated from a fluid, usually under the action of gravitational forces. Sedimentation is one of the oldest known techniques used in industry to clean fluids ...

Effective drag on spheres immersed in a fluidized bed at minimum fluidization-Influence of bulk solids properties

Canadian Journal of Chemical Engineering, 101, 210-216, 2023

The aims of this work are to elucidate the effects that bulk solids properties have on the effective drag experienced by large spheres immersed in an emulsion of group-B solids under minimum fluidization conditions and to analyze the ways in which the different suspensions react towards different applied shear rates. To investigate this, magnetic particle tracking was applied to resolve the trajectory of falling-sphere measurements in which the size, density, and sphericity of the bulk solids were varied as well as the size and density of the spherical tracers. The resulting experimental scope included both rising and sinking tracers as well as full segregation and in-bed stagnation of the tracers. The setup provided highly resolved tracer trajectories, from which the drag experienced by the sphere can be calculated. For sinking tracers, the results showed that an increase in bulk solids size, angularity, and density