Crystallization—Part I - Transport Phenomena  of  Nucleation and Crystal  Growth

Reid, Robert C.; Botsaris, Gregory D.; Margolis, Geoffrey.; Kirwan, Donald J.; Denk, Edward G.; Ersan, Gun S.; Tester, Jefferson W.; Wong, Franklin.

doi:10.1021/ie50731a009

Cited by 3 publications

(2 citation statements)

References 27 publications

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“…Two other basic distribution functions have been formulated for isomorphous impurity inclusion . The distribution of the impurity between the liquid and the solid phases follows the relation (Berthelot–Nerst or the D‐law)

\frac{C_{1}}{C_{2}} = K_{normalD} \frac{C_{1}^{0} - C_{1}}{C_{2}^{0} - C_{1}}

and (Doerner and Hoskins or the λ‐law)

l n \frac{C_{1}^{0}}{C_{1}^{0} - C_{1}} = K_{λ} l n \frac{C_{2}^{0}}{C_{2}^{0} - C_{2}}

where,

C_{1}^{0}

and

C_{2}^{0}

are the initial concentrations of the two components in the solution, C 1 and C 2 are the amounts of them after a certain crystallization and K D and K λ are the distribution coefficients.…”

Section: Introductionmentioning

confidence: 99%

“…The effective distribution coefficients of solution and melt systems have been reported by some researchers such as Noll, Hardy and Coriell, Kirgintsev and Gorbacheva, and Kirgintsev and Revzin . Reid et al correlated that the effective distribution coefficient is dependent not only on the thermodynamic properties of the system, but operating variables such as temperature gradient and geometry as well. Liscom et al used an aqueous acetic acid solution and found that K decreases as solute concentration became more dilute.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

An analytical relationship of concentration‐dependent interfacial solute distribution coefficient for aqueous layer freeze concentration

Chen

Chen³

2015

AIChE Journal

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Freeze concentration (FC) is a subzero temperature solute concentration procedure, favoring the retention of high quality compounds such as food ingredients and biological materials. It is known that modeling solute inclusion in the ice layers or ice crystals formed in a convective environment requires the solute distribution coefficient function. The fluid flow velocity, ice‐growth rate and solute concentration are influential on this function. Some literature has reported certain expressions of the function, which are relatively complex. Here, an explicit format of this function has been derived for single solute system, and found to be satisfactory in correlating a wide range of experimental data on sucrose solutions for both the controlled flow layer crystallization process (flow in between two cooling plates) as well as the falling film crystallization process. This expression has captured the fundamental aspects of mass transfer, and it is relatively simple which should be very useful for correlating FC parameters and for simulating the layer FC processes. © 2015 American Institute of Chemical Engineers AIChE J, 61: 1334–1344, 2015

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\frac{C_{1}}{C_{2}} = K_{normalD} \frac{C_{1}^{0} - C_{1}}{C_{2}^{0} - C_{1}}

and (Doerner and Hoskins or the λ‐law)

l n \frac{C_{1}^{0}}{C_{1}^{0} - C_{1}} = K_{λ} l n \frac{C_{2}^{0}}{C_{2}^{0} - C_{2}}

where,

C_{1}^{0}

and

C_{2}^{0}

are the initial concentrations of the two components in the solution, C 1 and C 2 are the amounts of them after a certain crystallization and K D and K λ are the distribution coefficients.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%