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Extraction Fundamentals

Two-phase Taylor–Couette contactors: Holdup, axial dispersion, and droplet size

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Pages 2003-2012 | Received 29 Nov 2018, Accepted 12 Mar 2019, Published online: 31 Mar 2019
 

ABSTRACT

The simple and robust design of Taylor–Couette contactors has been attracting interests of research and industry since it was invented in the nineteenth century. Taylor–Couette contactors provide flexible operation under harsh operation conditions, as needed in liquid–liquid extraction. Nevertheless, industrial application is rather scarce, probably dating back to the historical limitation of Taylor–Couette flow being a gap phenomenon with limited hydraulic performance.

In order to improve the hydraulic performance of two-phase Taylor–Couette contactors, a research program was performed in pilot scale. Therefore, various parameters like dispersed phase holdup, residence time distribution as well as mean droplet size for varying radius ratio were related to the shaft centrifugation number.

Symbols used

Symbols

B[m3 m−mh−m]=

total hydraulic load

b[m]=

= R – Ri = gap width

D[m]=

column diameter (outer cylinder diameter)

Dax,c[m2 s−1]=

axial dispersion coefficient of continuous phase

dm[mm]=

mean droplet size

dSh[m]=

shaft diameter (inner cylinder diameter)

Eθ[-]=

dimensionless exit age distribution

g[m s−2]=

gravity (9.81)

H[m]=

active column height

N[-]=

number of corresponding vessels in series

n[1 s−1]=

rate of rotation

R[m]=

column radius (outer cylinder radius)

Ri[m]=

shaft radius (inner cylinder radius)

t[s]=

time

t[s]=

mean residence time

V[m3]=

volume

w[rad s−1]=

angular velocity

Z[-]=

=(w2dSh)/(2g) = centrifugation number

Greek symbols

ε[W kg−1]=

dissipation rate

η[-]=

= Ri/R = radius ratio

Γ[-]=

= H/b = aspect ratio

ρ[kg m−3]=

density

ν[m2 s−1]=

kinematic viscosity

φ[-]=

dispersed phase holdup

θ[-]=

dimensionless time (θ = t t−1)

ζ[-]=

= b/dSh = gap ratio

Subscripts

c=

continuous phase

d=

dispersed phase

Abbreviations

CFD=

computational fluid dynamics

RTD=

residence time distribution

SST=

ShellSol-T

TCR=

Taylor–Couette reactor

Supplementary material

Supplemental data for this article can be accessed here.

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