A parametric study of mixing in a granular flow a biaxial spherical tumbler

Ivan C. Christov*, Richard M. Lueptow, Julio M. Ottino, Rob Sturman

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution


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.

Original languageEnglish (US)
Title of host publicationDynamical Systems
Subtitle of host publicationModelling, 2015
EditorsJan Awrejcewicz
PublisherSpringer New York LLC
Number of pages12
ISBN (Print)9783319424019
StatePublished - 2016
Event13th International Conference on Dynamical Systems, 2015 - Łódź, Poland
Duration: Dec 7 2015Dec 10 2015

Publication series

NameSpringer Proceedings in Mathematics and Statistics
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017


Other13th International Conference on Dynamical Systems, 2015

ASJC Scopus subject areas

  • General Mathematics


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