A theoretical correction of the ouchiyama and tanaka formula for predicting average porosity of packed beds consisting of nonuniform spheres

M. Song; Karl T. Chuang; K. Nandakumar

doi:10.1021/ie980036o

A theoretical correction of the ouchiyama and tanaka formula for predicting average porosity of packed beds consisting of nonuniform spheres

M. Song, Karl T. Chuang^*, K. Nandakumar

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

To predict the overall average porosity of a packing of unequal spheres, Ouchiyama and Tanaka (Ind. Eng. Chem. Fundam. 1981, 20, 66.) established a simple packing model and derived an analytical formula. In this model two uniformity assumptions were introduced, which lead to systematic errors in the model, making the prediction of the average porosity higher or the prediction of the packing density lower than experimental data. This paper proposes a theoretical correction for this model. For binary packings of spheres, the correction parameter is fixed. The prediction by our correction is in excellent agreement with experimental data for a large range of ε̄₀, the porosity of a packing of equal spheres, and k, the ratio of the smaller to the larger diameter of spheres.

Original language	English
Pages (from-to)	3490-3496
Number of pages	7
Journal	Industrial and Engineering Chemistry Research
Volume	37
Issue number	8
DOIs	https://doi.org/10.1021/ie980036o
State	Published - 1998
Externally published	Yes

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title = "A theoretical correction of the ouchiyama and tanaka formula for predicting average porosity of packed beds consisting of nonuniform spheres",

abstract = "To predict the overall average porosity of a packing of unequal spheres, Ouchiyama and Tanaka (Ind. Eng. Chem. Fundam. 1981, 20, 66.) established a simple packing model and derived an analytical formula. In this model two uniformity assumptions were introduced, which lead to systematic errors in the model, making the prediction of the average porosity higher or the prediction of the packing density lower than experimental data. This paper proposes a theoretical correction for this model. For binary packings of spheres, the correction parameter is fixed. The prediction by our correction is in excellent agreement with experimental data for a large range of {\=ε}0, the porosity of a packing of equal spheres, and k, the ratio of the smaller to the larger diameter of spheres.",

author = "M. Song and Chuang, {Karl T.} and K. Nandakumar",

year = "1998",

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AU - Song, M.

AU - Chuang, Karl T.

AU - Nandakumar, K.

PY - 1998

Y1 - 1998

N2 - To predict the overall average porosity of a packing of unequal spheres, Ouchiyama and Tanaka (Ind. Eng. Chem. Fundam. 1981, 20, 66.) established a simple packing model and derived an analytical formula. In this model two uniformity assumptions were introduced, which lead to systematic errors in the model, making the prediction of the average porosity higher or the prediction of the packing density lower than experimental data. This paper proposes a theoretical correction for this model. For binary packings of spheres, the correction parameter is fixed. The prediction by our correction is in excellent agreement with experimental data for a large range of ε̄0, the porosity of a packing of equal spheres, and k, the ratio of the smaller to the larger diameter of spheres.

AB - To predict the overall average porosity of a packing of unequal spheres, Ouchiyama and Tanaka (Ind. Eng. Chem. Fundam. 1981, 20, 66.) established a simple packing model and derived an analytical formula. In this model two uniformity assumptions were introduced, which lead to systematic errors in the model, making the prediction of the average porosity higher or the prediction of the packing density lower than experimental data. This paper proposes a theoretical correction for this model. For binary packings of spheres, the correction parameter is fixed. The prediction by our correction is in excellent agreement with experimental data for a large range of ε̄0, the porosity of a packing of equal spheres, and k, the ratio of the smaller to the larger diameter of spheres.

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JO - Industrial and Engineering Chemistry Research

JF - Industrial and Engineering Chemistry Research

IS - 8

ER -

A theoretical correction of the ouchiyama and tanaka formula for predicting average porosity of packed beds consisting of nonuniform spheres

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