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A mathematical model for concentric horizontal capsule transport : erratum

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Canadian Society for Chemical Engineering
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Disciplines
  • Communication
  • Mathematics

Abstract

A mathematical model for concentric horizontal capsule transport LElTER TO T H E EDITOR Hydrodynamic Particle Volume Factor and Settled Ekd Volume Editor, Can. J. Chem. Eng.: In their recent communication to this journal, Fouda and Capes“) have ably shown that the hydrodynamic volume factor, K, which they had previouslycz) used in correlating expansion data for liquid-fluidized beds of non-spherical particles with those for similar beds of spherical particles, could be related to the settled bed volume of the non-spherical particles as follows: K = (1 - E J H . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . * (1) where all symbols are defined in the Nomenclature. Steinour‘” had previously used a similar factor for cor- relating hindered settling data and Gasparyan and Ikaryan”) for both liquid fluidization and hindered set- tling. Since, by definition, 1 H=- . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2) and since Fouda and Capes(’) found from their experi- ments that l+ = 0.603 & 0.016, i t follows tha t 1 - 6 0.603 =k 0.016 1-cb K = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (3) Thus K can be estimated simply from a knowledge of the settled bed voidage, Unfortunately, in concluding their communication, Fouda and Capes“) attempt to devalue Equation (3) by arguing that 1) The correlations for K derived in their original paperca), inasmuch as they are based on independent measure- ments of particle shape, are superior to Equation (3), in which the effect of shape is manifested only in- directly via q,. 2) Use of Equation (3) requires an accurate measure- ment of eb. If one looks at Table 5 in the original paper“), however, it is apparent that not only is the exponent in the cor- relating equation for K different for each particle shape investigated, but there is not even a single definition of characterstic particle diameter which can be appli

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