Copyright © 2004 Silsoe Research Institute Published by Elsevier Ltd.
Modelling of Solute Aqueous Extraction from Carrots subjected to a Pulsed Electric Field Pre-treatment
Received 29 March 2004;
This study is devoted to solid–liquid extraction from carrot samples subjected to pulsed electric fields (PEF) of different energy levels. Aqueous extraction of solute from carrot samples prepared in the forms of disc or slices (coarse and fine) was conducted at room temperature with and without agitation. A two-exponential kinetic model corresponding to the two-stage extraction (rapid washing and slow diffusion) described successfully the experimental data. For the studied carrot samples, the solute yield increased with the increase in energy level up to a threshold value of 9 kJ/kg. Furthermore, the increase in stirring speed up to 250 min−1 enhanced extraction kinetics. Finally, fragmentation of carrot particles increased the solute yield obtained during the washing stage of extraction.
Notation
- c
- solute concentration in the solution at any time during the extraction process, g [solubles]/100 g [juice]
- c0
- solute concentration of fresh sugar beet juice (initial solute concentration), g [solubles]/100 g [juice]
- c*
- dimensionless solute concentration in the solution at any time during the extraction process
- cd
- equilibrium solute concentration in the solution due to the diffusion process, g [solubles]/100 g [juice]
- dimensionless equilibrium solute concentration in the solution due to the diffusion process
- cw
- equilibrium solute concentration in the solution due to the washing process, g [solubles]/100 g [juice]
- dimensionless equilibrium solute concentration in the solution due to the washing process
- c∞
- total equilibrium solute concentration, g [solubles]/100 g [juice]
- d
- distance between electrodes, mm
- E
- intensity of pulsed electric field, V/cm
- I
- amplitude of electric current strength, A
- kd
- rate constant for the diffusion process, min−1
- kw
- rate constant for the washing process, min−1
- L
- extract volume, m3
- m
- mass of sample, kg
- N
- number of pulses
- n
- liquid to solid ratio
- S
- solid volume, m3
- t
- time, min
- tPEF
- PEF treatment duration, s
- U
- current tension, V
- W
- specific energy consumption during the PEF treatment, kJ/kg
- τ
- duration of pulse, s






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, 1 kJ/kg; ×, 2 kJ/kg; ○, 3 kJ/kg; •, 9 kJ/kg; −, 25 kJ/kg;
, 40 kJ/kg; □, 55 kJ/kg
, kw; □, kd
