Packing Fraction of a Two-dimensional Eden Model with Random-Sized Particles

Kobayashi, Naoki; Yamazaki, Hiroshi

doi:10.7566/jpsj.87.014005

Cited by 2 publications

(2 citation statements)

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“…Therefore, mathematical modeling of bolus formation has been studied to understand it numerically. 31,47) In these models, bolus formation is reproduced assuming loose packing; but when considering the food oral processing, 28,29) it is expected to be reproduced assuming closed packing. The relationship between the fragment-size distribution and the cohesiveness determined using the bolus formation model assuming the closed packing process should be examined in future studies.…”

Section: Discussionmentioning

confidence: 99%

“…The physical properties of the bolus are affected by the packing fraction of the constituent particles. 31) Recently, the physical properties of the bolus have been studied to find ways for people with reduced masticatory function to swallow food easily. [32][33][34][35] These previous studies mainly applied stress-strain tests to investigate the rheology of a food bolus.…”

Section: Introductionmentioning

confidence: 99%

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Fragmentation Statistics of Food Diced and Crushed Using a Food Mixer

Kobayashi,

Shibayama

2021

Preprint

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The fragment-size distributions of raw carrot diced or crushed using a food mixer are studied experimentally. For the 5-mm-square raw carrot, the normal distribution shows a characteristic feature of food fragmentation statistics. This simple result indicates that most random errors contribute to fragment-size fluctuation. On the other hand, for the crushed raw carrot, the cumulative fragment size distribution follows the power law where the exponent α 1.62 > 1. Furthermore, considering the cumulative fragment-size distribution as a function of length for comparison with geomaterials, such as fault rocks, the exponent D 3.64. Previous studies have shown that the power-law distribution observed in sequential fragmentation tends to have a large exponent value. As our experiment is also based on sequential fragmentation, the obtained large values of exponents α and D are consistent with those obtained in previous studies on sequential fragmentation. On the basis of previous studies and our observations, we discuss the effect of the preferential fragmentation of particles as large as the mixer blades. We also discuss the existence of a lower limit beyond which further fragmentation is difficult, resulting in a power-law distribution tendency for raw carrot crushed with a food mixer.

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Section: Discussionmentioning

confidence: 99%