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Utilizing RSM for experimental modeling of mass transfer coefficients in a perforated rotating disc contactor (PRDC)

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Abstract

This study aims to examine and optimize the solvent extraction process of two different liquid-liquid systems, including toluene–acetone-water and n-butylacetate–acetone-water, in a perforated rotating disc contactor (PRDC) pilot plant according to response surface methodology (RSM). The interaction effects of four influential parameters of dispersed phase velocity, and continuous phase velocity, rotor speed, and system type (interfacial tension) are investigated. Three responses of dispersed phase hold-up, Sauter mean drop diameter (d32), and volumetric overall mass transfer coefficient (Kod.a) are correlated based on the central composite design (CCD) method. Satisfactory consistency between the predicted and empirical data based on the correlation coefficient (R2) values of higher than 0.99 for all responses. From investigating the interaction effects of parameters, the increase in the Kod.a and d32 responses was detected in both systems when the rotation speed and dispersed phase velocity are enhanced, respectively. The optimized values of Kod.a, hold-up, and d32 responses were obtained 12.257, 0.118, and 1.114, respectively, for the n-butylacetate system at 305 rpm, 10 m/s, and 9.75 m/s as rotation speed, continuous, and dispersed phase velocities, respectively.

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Abbreviations

a :

interfacial area (m)

D :

diffusion coefficient (m2/s)

d 32 :

Sauter mean drop diameter (m)

di :

mean diameter (m)

h :

compartment height (m)

K :

mass transfer coefficient

N :

rotation speed (rpm)

n :

number of experiments

n i :

number of drops

Pe :

Peclet Number

V :

velocity (m/s)

Z :

active height (m)

β :

coefficients of response function in RSM

ρ :

density (kg/m3)

η :

viscosity (mPa.s)

ε :

estimated parameter by empirical data

σ :

interfacial tension (mN/m)

ν :

Volume (m3)

ϕ :

dispersed phase hold-up

BBD :

Box-Benhken Design

CCD :

Central Composite Design

PDDC :

Pulsed Disc and Doughnut Contactor

PRDC :

Perforated Rotating Disc Contactor

RDC :

Rotating Disc Contactor

RSM :

Response Surface Methodology

c :

continuous phase

d :

dispersed phase

C :

column

o :

overall

S :

stator

R :

disc

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Authors and Affiliations

  1. School of Chemical, Petroleum and Gas Engineering, Iran University of Science and Technology, Tehran, Narmak, Iran

    Alireza Hemmati & Ahad Ghaemi

Authors
  1. Alireza Hemmati
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  2. Ahad Ghaemi
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Correspondence to Alireza Hemmati or Ahad Ghaemi.

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Highlights

• Liquid-liquid extraction process is studied in a perforated rotating disc contactor (PRDC) using the response surface methodology (RSM).

• Two different systems of toluene–acetone-water and n-butylacetate–acetone-water recommended by the European Federation of Chemical Engineering were studied.

• The interaction effects of rotation speed, interfacial tension, continuous phase, and dispersed phase velocities were examined.

• Three correlations were developed for the dispersed phase hold-up and Sauter mean drop diameter, and volumetric overall mass transfer coefficient.

• The studied parameters were optimized based on the central composite design (CCD) method.

Appendix

Appendix

Table 9 Independent factors and responses through experimental design by RSM modeling
Full size table
Table 10 Detail of ANOVA information for all parameters and their interaction effects
Full size table
Table 11 Statistical data about developed correlations based on ANOVA
Full size table

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Hemmati, A., Ghaemi, A. Utilizing RSM for experimental modeling of mass transfer coefficients in a perforated rotating disc contactor (PRDC). Heat Mass Transfer 57, 1395–1410 (2021). https://doi.org/10.1007/s00231-021-03041-w

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  • DOI: https://doi.org/10.1007/s00231-021-03041-w

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