Packing of Mixtures of Hard Spheres

Mangelsdorf, Paul C.; Washington, Elmer L.

doi:10.1038/187930a0

Cited by 20 publications

(6 citation statements)

References 5 publications

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“…In either case, the enhancement is ≈5% above that expected from the simple mixing estimate. Enhancements of ≈10% have been reported using monodisperse particles of size ratios comparable to the starch granule diameter ratios here (Mangelsdorf and Washington 1960;Yerazunis et al 1962Yerazunis et al , 1965Epstein and Young 1962). The lower enhancement in starch granule packing is probably related to agglomeration (rice starch) and irregular granule shape (rice and corn starches).…”

Section: Resultsmentioning

confidence: 56%

“…It is somewhat surprising that the φ m values would be so close to those expected for monodisperse spheres because these starches have broad particle-size distributions. The φ m values greater than the monodisperse random close packing are usually observed in multimodal blends of large and small particles (Mangelsdorf and Washington 1960;Yerazunis et al 1962;Epstein and Young 1962;Yerazunis et al 1965).…”

Section: Resultsmentioning

confidence: 90%

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Packing Characteristics of Starch Granules

Willett

2001

Cereal Chem

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The rheological properties of granular materials and dispersions of solid particles in fluids are dependent on the packing characteristics of the particles. Maximum packing fractions (Φm) have been measured for corn, wheat, rice, potato, and amaranth starches, in the dry state and dispersed in either ethanol or hexane, using a tapping method. The observed maximum packing fraction increases with tapping time to a constant value. Values measured for dry starches were lower than those measured in liquids and reflect the effects of granule shape and intergranular friction. Values measured in fluids for potato, corn, and wheat starches were all similar in magnitude, and in the range of values (0.58–0.63) for random loose packing and random close packing of monodisperse spheres. Values for amaranth and rice starches were significantly lower due to agglomeration and clumping of individual granules. Blends of corn and potato starches show a slight enhancement of packing, with some Φm values greater than potato starch, consistent with data for bimodal blends of spheres. Blends of rice and potato starches displayed enhanced packing above ideal mixing but did not exceed the packing fraction of the potato starch. Knowledge of starch packing fractions is required for fundamental understanding of the rheological properties of granular starch‐filled materials and important for predicting processing characteristics.

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Section: Resultsmentioning

confidence: 56%

Section: Resultsmentioning

confidence: 90%

Packing Characteristics of Starch Granules

Willett

2001

Cereal Chem

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“…Since p > po for mixtures of spheres (2,5,8,36,(53)(54)(55)(56)(57)(58)(59), eqn. (4) demands that A Vexcess < 0.…”

Section: Qualitative Observations Concerningmentioning

confidence: 99%

“…The binary sphere packing study most relevant to mixtures of atoms is that of Mangelsdorf and Washington (56). They determined packing densities for mixtures of spheres having radius ratios in the range 1-1,6, while for the metals in the periodic table the largest radius ratio is about two.…”

Section: Qualitative Observations Concerningmentioning

confidence: 99%

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Qualitative Observations Concerning Packing Densities for Liquids, Solutions, and Random Assemblies of Spheres

Duer¹,

Greenstein²,

Oglesby³

et al. 1977

J. Chem. Educ.

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Structural properties of packed beds — A review

1969

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Some structural properties of packed bed systems on both the local and overall scales which are available in the literature and of interest in chemical engineering applications are discussed. Regular and random packings of uniformly sized spheres are initially analyzed as a basis for the later examination of the more general case of random packed beds containing particles of various sizes and shapes, with or without restraining surfaces.

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Packing of Mixtures of Hard Spheres

Cited by 20 publications

References 5 publications

Packing Characteristics of Starch Granules

Packing Characteristics of Starch Granules

Qualitative Observations Concerning Packing Densities for Liquids, Solutions, and Random Assemblies of Spheres

Structural properties of packed beds — A review

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