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Consecutive chemical reactions in a turbular reactor with turbulent flow

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Abstract

Homogeneous consecutive chemical reactions in turbulent flow system is analyzed in this paper. Arbitrary chemical reaction order is considered. The governing nonlinear material balance equations are solved numerically on a digital computer. It is seen from the preliminary numerical results that high Reynolds and Schmidt numbers significantly increase both reaction velocities.

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Abbreviations

c i :

concentration of i species, g. mole/cm3

C i :

dimensionless concentration of i species, c i /c A0

c A0 :

inlet concentration of A, g. mole/cm3

D i :

molecular diffusivity of i species, cm2/sec.

f :

Fanning friction factor

k 1 :

first reaction rate coefficient, (g. mole/cm3)1−m/sec.

k 2 :

second reaction rate coefficient, (g. mole/cm3)1−n/sec.

K 1 :

dimensionless first reaction rate coefficient, k 1 r 20 c −1 A0 /D A

K 2 :

dimensionless second reaction rate coefficient, k 2 r 20 c −1 A0 /D A

m :

order of the first chemical reaction

n :

order of the second chemical reaction

r :

radial distance, cm

r 0 :

reactor radius, cm

R :

dimensionless radial distance, r/r 0

Re:

Reynolds number, r 0 ū/ν

Sc:

Schmidt number, D/ν

u :

local velocity, cm

ū :

bulk velocity, cm

U :

dimensionless local velocity, u/ū

X, Y :

dimensionless concentrations of A and B, c i /c A 0

xxx0058;, xxx0059; :

dimensionless bulk concentrations of A and B

z :

axial distance, cm

Z :

dimensionless axial distance, zD A /r 20 ū

α :

ratio of eddy mass diffusivity to eddy viscosity, ε/ν

ε :

eddy mass diffusivity, cm2/sec.

ν :

kinematic viscosity, cm2/sec.

References

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Authors and Affiliations

  1. Department of Chemical Engineering, Kansas State University, Manhattan, Kansas, USA

    S. H. Lin

Authors
  1. S. H. Lin
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Lin, S.H. Consecutive chemical reactions in a turbular reactor with turbulent flow. Appl. Sci. Res. 27, 375–386 (1973). https://doi.org/10.1007/BF00382500

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  • DOI: https://doi.org/10.1007/BF00382500

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