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Mass Transfer Coefficients and Correlation of Supercritical Carbon Dioxide Extraction of Sarawak Black Pepper

  • Ting May Lin , Then Siew Ping , Agus Saptoro EMAIL logo and Panau Freddie
Published/Copyright: December 5, 2013

Abstract

Bioactive compound, namely piperine, was extracted from Sarawak black pepper using supercritical carbon dioxide extraction. Experiments were carried outin the range of 3,000–5,000 psi (20.7–34.4 MPa) pressures, 318–328 K temperatures, 0.4–1 mm mean particle sizes and5–10 ml/min carbon dioxide flow rates. Experimental data analysis shows that extraction yield ismainly influenced by pressure, particle size and coupled-interactions between these two variables. Extraction process was modeled accounting for intraparticle diffusion and external mass transfer. The kinetics parameters for the internal and external mass transfers were evaluated and estimated. Mass transfer correlation was also developed. From simulation results, good agreement between experimental and simulated data has been found.

Nomenclature

A

[m2]

Surface area of transfer

Bi

[–]

Biot number = kcR/DAB

Cf

[mol/m3]

Concentration of solute in solvent fluid

Cp

[mol/m3]

Concentration of solute in pores

Csat

[mol/m3]

Saturation concentration

D12

[m2/s]

Molecular diffusion coefficient

De

[m2/s]

Effective diffusion coefficient

DL

[m2/s]

Axial dispersion coefficient

dp

[m]

Particle diameter

H

[m]

Total particle’s bed height

kc

[m/s]

External mass transfer coefficient

kp

[m/s]

Overall mass transfer coefficient

L

[m]

Total length of extraction column

M

[kg/kgmol]

Molar mass of solvent

Pe

[–]

Peclet number, Lu/DL

Q

[m3/s]

Flow rate of solvent in the extractor

R

[m]

Radius of pepper particle

R

[m]

Radius coordinate

rc

[m]

Radius of particle’s un-leached core

Sh

[–]

Sherwood number

T

[s]

Extraction time

T

[k]

Solvent temperature

uz

[m/s]

Solvent velocity

V

[m3/kmol]

Solute molar volume at boiling point

Xf

[–]

Dimensionless concentration in fluid phase,Cf/Csat

Xp

[–]

Dimensionless concentration in pores, Cp/Csat

Z

[m]

Axial coordinate of extraction column

Z

[–]

Dimensionless bed height coordinates, z/L

Greek Letters

[–]

Solvent association constant

ε

[–]

Bed voidage

εp

[–]

Particle void fraction

θ

[–]

Dimensionless time, (DAB/R2)t

[kg/m.s]

Solvent viscosity

ξ

[–]

Dimensionless radial coordinate, r/R

ξc

[–]

Dimensionless radius of un-leached core, rc/R

[kg/m3]

Solvent density

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Published Online: 2013-12-5

©2014 by Walter de Gruyter Berlin / Boston

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