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Gas holdup-slip velocity relationship in multistage bubble column

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Abstract

Gas holdup data in multistage bubble column is analyzed through slip velocity incorporating pseudo hydrostatic effect, momentum transfer effect, particle-to-particle and particle-to-wall effects and coalescence effects. The bubble size, required for the estimation of single bubble rise velocity, is satisfactorily predicted using the model due to Molerus [9], and the influence of gas throughput, the perforation diameter and the free area of the horizontal plate, as well as the plate spacing on bubble size are examined.

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Abbreviations

b :

coalescence factor

d 0 m:

plate perforation diameter

d m:

drop/particle/bubble diameter

g ms−2 :

acceleration due to gravity

K 1 :

constant, Eqns. (3) and (9)

K 2 :

constant, Eqn. (4)

m :

index, Eqn. (10)

n :

index, Eqns (2); (7); (8) and (10)

P m:

interplate spacing

S :

fractional plate free area

U ms−1 :

superficial phase velocity

U s ms−1 :

slip velocity, Eqn. (1)

U t ms−1 :

rise velocity of single bubble

β :

dimensionless bubble diameter, Eqn. (11b)

γ :

dimensionless gas throughput, Eqn. (11a)

ɛ :

gas holdup

v m2s−1 :

kinematic viscosity

ϱ kgm−3 :

phase density

ϱ m kgm−3 :

density of fluid-fluid mixture, [=ϱc(1-ɛ)+ϱdɛ]

Δϱ kgm−3 :

density difference, [ϱc-ϱd]

σ :

standard deviation, surface tension (Eqn. 12)

c :

continuous phase

d :

dispersed phase

exp:

experimental

pred:

predicted

References

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Authors and Affiliations

  1. Department of Chemical Engineering, Indian Institute of Technology, 600 036, Madras, India

    M. Vinaya & Y. B. G. Varma

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  1. M. Vinaya
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  2. Y. B. G. Varma
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Vinaya, M., Varma, Y.B.G. Gas holdup-slip velocity relationship in multistage bubble column. Bioprocess Engineering 15, 105–108 (1996). https://doi.org/10.1007/BF00372985

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  • DOI: https://doi.org/10.1007/BF00372985

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