Christov, IC, Lueptow, RM, Ottino, JM et al. (1 more author) (2016) A Parametric Study of Mixing in a Granular Flow a Bi-Axial Spherical Tumbler. In: Awrejcewicz, J, (ed.) Dynamical Systems: Modelling. Springer Proceedings in Mathematics & Statistics, 181 . Springer , Łódź, Poland ISBN 978-3-319-42401-9
Abstract
We report on a computational parameter space study of mixing protocols for a half-full biaxial spherical granular tumbler. The quality of mixing is quantified via the intensity of segregation (concentration variance) and computed as a function of three system parameters: angles of rotation about each tumbler axis and the flowing layer depth. Only the symmetric case is considered in which the flowing layer depth is the same for each rotation. We also consider the dependence on R, which parametrizes the concentric spheroids (“shells”) that comprise the volume of the tumbler. The intensity of segregation is computed over 100 periods of the mixing protocol for each choice of parameters. Each curve is classified via a time constant, τ, and an asymptotic mixing value, bias. We find that most choices of angles and most shells throughout the tumbler volume mix well, with mixing near the center of the tumbler being consistently faster (small τ) and more complete (small bias). We conclude with examples and discussion of the pathological mixing behaviors of the outliers in the so-called τ-bias scatterplots.
Metadata
Item Type: | Book Section |
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Authors/Creators: |
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Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 27 Oct 2015 16:00 |
Last Modified: | 16 Nov 2016 13:57 |
Published Version: | https://doi.org/10.1007/978-3-319-42402-6_13 |
Status: | Published |
Publisher: | Springer |
Series Name: | Springer Proceedings in Mathematics & Statistics |
Identification Number: | 10.1007/978-3-319-42402-6_13 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:91127 |