TY - JOUR

T1 - Mathematical modeling of aerosol formation by rapid expansion of supercritical solutions in a converging nozzle

AU - Kwauk, Xianmin

AU - Debenedetti, Pablo G.

N1 - Funding Information:
AcknowledgementsP GD gratefully acknowledgesP rofessor John M. Prausnitz for his hospitality during a 1991-199s2a bbaticalle avea t the ChemicalE ngineeringD epartmento f the Universityo f California at Berkeley, where he was a GuggenheimF ellow; the John Simon GuggenheimM emorial Foundationf or a 1991F ellowship; the Camille and Henry Dreyfus Foundation for a 1989T eacher-ScholarA ward; and the National Science Foundation,f or its financial support (Grant CTS-9000614)X. K acknowledgePs rincetonU niversity'sR esearch Board for a tuition award.T he authorsa re gratefult o Prof. Yaunis Kevrekidis,a nd to Dr Luigi Martinelli for very helpful discussionsa nd advice on the numericala spectso f this work.

PY - 1993/6

Y1 - 1993/6

N2 - A mathematical model of nucleation and particle growth during the partial expansion of a dilute supercritical solution in a sub-sonic converging nozzle is presented and solved numerically. The flow is assumed to be steady, one-dimensional and inviscid. The calculations suggest that the partial expansion of supercritical solutions is an effective route to the formation of monodisperse, sub-micron powders. The particle size is a very sensitive function of the temperature at which the solute is dissolved in the supercritical fluid (the extraction temperature), and of the temperature to which the saturated mixture is preheated isobarically prior to expansion (the pre-expansion temperature). Retrograde behavior (a decrease in solubility upon isobaric heating) is a common feature of supercritical solutions. It underlies the three most important trends predicted by the calculations: an increase in particle size upon increasing the pre-expansion temperature; and particle size decrease upon increasing the extraction temperature and pressure.

AB - A mathematical model of nucleation and particle growth during the partial expansion of a dilute supercritical solution in a sub-sonic converging nozzle is presented and solved numerically. The flow is assumed to be steady, one-dimensional and inviscid. The calculations suggest that the partial expansion of supercritical solutions is an effective route to the formation of monodisperse, sub-micron powders. The particle size is a very sensitive function of the temperature at which the solute is dissolved in the supercritical fluid (the extraction temperature), and of the temperature to which the saturated mixture is preheated isobarically prior to expansion (the pre-expansion temperature). Retrograde behavior (a decrease in solubility upon isobaric heating) is a common feature of supercritical solutions. It underlies the three most important trends predicted by the calculations: an increase in particle size upon increasing the pre-expansion temperature; and particle size decrease upon increasing the extraction temperature and pressure.

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U2 - 10.1016/0021-8502(93)90031-4

DO - 10.1016/0021-8502(93)90031-4

M3 - Article

AN - SCOPUS:0027615288

VL - 24

SP - 445

EP - 469

JO - Journal of Aerosol Science

JF - Journal of Aerosol Science

SN - 0021-8502

IS - 4

ER -