NDLI: Analytical description of the unsteady settling of spherical particles in Stokes and Newton regimes

Content Provider	Springer Nature Link
Author	Mann, Hannes Mueller, Peter Hagemeier, Thomas Roloff, Christoph Thévenin, Dominique Tomas, Juergen
Copyright Year	2015
Abstract	In most solid processes, the separation of particles is important and designed based on the terminal settling velocity as the characteristically distributed particle property. This settling velocity is determined by distributed particle properties like size, density, and shape. Although the settling of particles driven by an external force (gravitation or centrifugal field) is an unsteady process, the temporal changes of the particle settling velocity are relevant for the microscopic process design. These temporal changes correspond to spatial changes along the path-line. Generally, the particle state of motion is described by solving numerically the force balance equations in fluid dynamic simulations which are highly complex. In this work, algebraic solutions are presented instead, suitable for describing the temporal changes of the settling velocity and the displacement at settling for laminar and turbulent flows around the particle. These equations solely depend upon particle properties like size, density, and shape and are valid independently from the initial velocity. Thus, and at the difference to known publications, it is not assumed that the particles are initially at rest. Finally, the relaxation time at which terminal settling velocity is approximately reached can be clearly identified.
Starting Page	629
Ending Page	644
Page Count	16
File Format	PDF
ISSN	14345021
Journal	Granular Matter
Volume Number	17
Issue Number	5
e-ISSN	14347636
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2015-09-03
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Particle sedimentation Settling velocity Relaxation time Laminar flow conditions Turbulent flow conditions Soft and Granular Matter, Complex Fluids and Microfluidics Engineering Fluid Dynamics Materials Science Geoengineering, Foundations, Hydraulics Industrial Chemistry/Chemical Engineering Engineering Thermodynamics, Heat and Mass Transfer
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mechanics of Materials Materials Science

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