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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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