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Abbreviations
- C A , C B :
-
concentration ofA andB at a given position in the reactor, mole/cm3
- \({\text{C}}_{{\text{A}}_{\text{0}} } \) :
-
inlet concentration ofA, mole/cm3
- D :
-
molecular diffusivity, assumed equal forA andB, cm2/sec
- D E :
-
axial dispersion coefficient assumed equal forA andB, cm2/sec
- k 1 :
-
first reaction rate constant,\(\left( {\frac{{{\text{mole}}}}{{{\text{cm}}^{\text{3}} }}} \right)^{1 - m} \sec ^{ - 1} \)
- k 2 :
-
second reaction rate constant,\(\left( {\frac{{{\text{mole}}}}{{{\text{cm}}^{\text{3}} }}} \right)^{1 - n} \sec ^{ - 1} \)
- K 1 :
-
dimensionless first reaction rate constant,\(k_1 r_0^2 C_{{\text{A}}_{\text{0}} }^{m - 1} /D\)
- K 2 :
-
dimensionless second reaction rate constant,\(k_2 r_0^2 C_{{\text{A}}_{\text{0}} }^{n - 1} /D\)
- L :
-
total length of reactor, cm
- L*:
-
dimensionless total length of reactor,\(\frac{{{\text{LD}}}}{{\bar ur_0^2 }}\)
- m :
-
order of the first chemical reaction
- n :
-
order of the second chemical reaction
- Pe:
-
Peclet number defined as\(\frac{{\bar uL}}{{{\text{D}}_{\text{E}} }}\)
- r 0 :
-
reactor radius, cm
- r :
-
radial distance, cm
- R :
-
dimensionless radial distance,r/r 0
- Re:
-
Reynolds numberr 0 ū/ν
- Sc:
-
Schmidt numberν/D
- u :
-
local velocity, cm/sec
- ū :
-
bulk average velocity, cm/sec
- U :
-
dimensionless local velocityu/ū
- X, Y :
-
dimensionless concentrations ofA andB,\(\frac{C}{{{\text{C}}_{{\text{A}}_{\text{0}} } }}\)
- XY :
-
volume averaged dimensionless concentration ofA andB
- z :
-
axial distance, cm
- Z :
-
dimensionless axial distance\(\frac{{zD}}{{r_0^2 \bar u}}\)
- Z*:
-
dimensionless distance,z/L
- ε :
-
eddy mass diffusivity cm2/sec
- ν :
-
kinematic viscosity, cm2/sec
- α :
-
parameter defined by equation (16)
- β :
-
parameter defined by equation (17)
References
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Strunk MR, F F Tao: AIChE J10 (1964) 269.
Bischoff KB: AIChE J14 (1968) 820.
Mashelkar RA: Can J Chem Eng51 (1973), 613.
Ramachandran PA, RA Mashelkar: Chem Eng J11 (1976) 73.
Krantz WB, DT Wasan: Ind Eng Chem Fundamentals13 (1974) 56.
Flint LF, P Eisenklam: Can J Chem Eng47 (1969) 101.
Danckwerts PV: Chem Eng Sci2 (1953) 1.
Fan LT, GKC Chen, LE Erickson: Chem Eng Sci26 (1971) 379.
Kramers H, KR Westerterp: Elements of Chemical Reactor Design, Chapman and Hall Ltd., London, 1963.
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NCL Communication No. 2364
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Ramachandran, P.A., Mashelkar, R.A. Comments on ‘Consecutive chemical reactions in a tubular reactor with turbulent flow’. Appl. Sci. Res. 36, 3–11 (1980). https://doi.org/10.1007/BF00420066
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DOI: https://doi.org/10.1007/BF00420066