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We report on a computational parameter space study of mixing protocols for ahalf-full bi-axial spherical granular tumbler. The quality of mixing isquantified via the intensity of segregation (concentration variance) andcomputed as a function of three system parameters: angles of rotation abouteach tumbler axis and the flowing layer depth. Only the symmetric case isconsidered in which the flowing layer depth is the same for each rotation. Wealso consider the dependence on $\bar{R}$, which parametrizes the concentricspheroids ("shells") that comprise the volume of the tumbler. The intensity ofsegregation is computed over 100 periods of the mixing protocol for each choiceof parameters. Each curve is classified via a time constant, $\tau$, and anasymptotic mixing value, $bias$. We find that most choices of angles and mostshells throughout the tumbler volume mix well, with mixing near the center ofthe tumbler being consistently faster (small $\tau$) and more complete (small$bias$). We conclude with examples and discussion of the pathological mixingbehaviors of the outliers in the so-called $\tau$-$bias$ scatterplots.

A Parametric Study of Mixing in a Granular Flow a Bi-Axial Spherical Tumbler