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Axial dispersion of solids in rotary solid flow systems

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Summary

A simple unidirectional diffusion model is employed to analyze the axial dispersion of solid particles flowing through a rotary solid flow system, namely a rotary dryer. It is shown that the reciprocal of the Peclet number D/uL is uniquely correlated as a function of the dimensionless number F/dSN which characterizes the operating conditions of the rotary dryer.

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Abbreviations

C :

concentration of tracer, mass/(length)3

d :

diameter of rotary dryer, length

d p :

diameter of solid particles, length

D :

longitudinal dispersion coefficient or axial mixing coefficient, (length)2/time

F :

volumetric flow rate of solid, (length)3/(length)2 time

L :

length of rotary dryer, length

N :

rate of rotations of dryer, time−1

Q :

volume of tracer injected, based on bulk density of particles, (length)3

S :

slope of the rotary dryer

u :

average flow velocity, based on effective flow volume of dryer, length/time

v :

volumetric flow rate, based on bulk density of particles, (length)3/time

V :

effective volume of rotary dryer, (length)3

x :

distance from entrance of experimental section of dryer, length

θ :

time, measured from instant of introducing tracer into flowing material

1−ε :

volumetric solid hold-up fraction

σ :

standard deviation

σ 2 :

variance

σ r :

relative standard deviation

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Authors and Affiliations

  1. Department of Chemical Engineering, Kansas State University Manhattan, Kansas', U.S.A.

    Liang-Tseng Fan & Yong-Kee Ahn

Authors
  1. Liang-Tseng Fan
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  2. Yong-Kee Ahn
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Fan, LT., Ahn, YK. Axial dispersion of solids in rotary solid flow systems. Appl. sci. Res. 10, 465 (1961). https://doi.org/10.1007/BF00411939

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  • DOI: https://doi.org/10.1007/BF00411939

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