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Experimental and Computational Studies of Aerated Stirred Tank with Dual Impeller

  • Shivanand M. Teli EMAIL logo , Viraj S. Pawar und Channamallikarjun Mathpati
Veröffentlicht/Copyright: 15. Februar 2020
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Abstract

Stirred tanks are commonly used in chemical and allied industries for reaction and separation. In order to improve the mixing performance, large scale reactors are often equipped with multiple impellers. In the case of gas-liquid systems, the gas hold-up, mass transfer coefficient, and interfacial area strongly depend on the size and type of impellers, clearance between impellers and superficial gas velocity. In the present work, the effect of the impeller speed, superficial gas velocity, and top impeller position has been investigated on gas hold-up, interfacial area, and mass transfer coefficient. Computational fluid dynamics have been carried out for the multiphase multi-impeller system and the model predictions have been compared with the experimental data.

Acknowledgements

The authors thankfully acknowledge the financial support provided by the Gharda Institute of Technology for this project. Special thanks to the workshop superintendent, Mr A. S. Desai and Prof P.V. Jadhav for helping in the design of the stirred tank reactor in the lab scale.

Nomenclature

Symbols
a

Major axis of the ellipse, mm

b

Minor axis of the ellipse, mm

c*

Saturation concentration, mg/l

co

Initial concentration, mg/l

c

Concentration at specific time instance, mg/1

C1

Impeller configuration 1

C2

Impeller configuration 2

C

Impeller clerance, m

CH

Normalized clearance of impeller (–)

deq

Equivalent diameter, mm

dB

Sauter mean bubble diameter, mm

D

Impeller diameter, m

dBi

Diameter of bubbles of size class i, mm

E

Gas-liquid exchange coefficient, eq. (17) & (18)

Fi

Volumetric force, N/m3

Gkl

Production turbulent kinetic energy, eq. (14) & (15)

g

Acceleration due to gravity, m2/s

H

Height of the tank, m

h

Local height of the tank, m

I

Unit tensor

J

Piecewise function (–)

KLa

Volumetric mass transfer coefficient, s-1

K

Experiential constant eq. (19)

k

Turbulent kinetic energy, m2/s2

N

Impeller speed, min-l

ni

Number of the bubbles of size class i

p

Pressure, N/m2

PG

Total specific power consumption, w

pg

Impeller power draw, w

∆PO

Static pressure in the absence of gas, psi

∆P

Dynamic pressure presence of gas, psi

Qg

Volumetric gas flow rate, m3/s

Ri

Interphase force, N/m3

T

Vessel diameter, m

t

Time, sec

ul

Mean velocity of the liquid, m/s

ug

Mean velocity of the gas, m/s

Ug

Superficial gas velocity, m/s

Ul

Superficial liquid velocity, m/s

V1

Total fluid volume, m3

Greek Symbols
aˆ

Empirical constant values eq. (23) & (27)(–)

bˆ

Empirical constant values eq. (23) & (27)(–)

cˆ

Empirical constant values eq. (23) & (27)(–)

dˆ

Empirical constant values eq. (23) & (27)(–)

Cμ

Constant k-ε Model, eq. (16)

Cє1

Constant k-ε Model, eq. (15)

Cє2

Constant k-ε Model, eq. (15)

σK

Constant k-ε Model, eq. (14)

σє

Constant k-ε Model, eq. (15)

εg

Gas hold-up (–)

εl

Liquid hold-up (–)

ψ

Aspect ratio (–)

τ

Torque, N. m

σ

Surface tension, kg/s2

ρl

Density of liquid, kg/m3

ρg

Density of water, kg/m3

µ

Dynamic viscosity, m2/s

μlam

Laminar viscosity, kg/m s

μt

Turbulent viscosity,kg/ms

τeff

Reynolds stress tensor,kg/m s2

λ

Kolmogorov length scale,m

CDO

Drag coefficient in stagnant liquid (–) eq. (19) & (20)

CD

Drag coefficient in turbulent liquid (–) eq. (19)

μt,l

Turbulent liquid viscosity, kg/m s

Turbulent dissipation rate, m2/s3

Subscripts
b, B

Bubble

g

Gas

l, L

Liquid

o

Initial

Abbreviations

do

Dissolved oxygen meter

STRs

Stirrer tank reactor

ReB

Bubble Reynolds number

Re

Impeller Reynolds number

EO

Eotos number

FlG

Gas flow number

Fr

Froude number

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Received: 2019-10-04
Revised: 2019-11-26
Accepted: 2019-12-23
Published Online: 2020-02-15

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