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Language: English

Conflict of Interest: In relation to this article, we declare that there is no conflict of interest.

Publication history: Received September 9, 2009
Accepted February 10, 2010

This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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A novel mathematical method for prediction of rapid expansion of supercritical solution (RESS) processed ibuprofen powder size distribution

Fatemeh Zabihi^† Ali Vaziri Mohammad Mehdi Akbarnejad¹ Mehdi Ardjmand² Maryam Otadi³ Ahmad Reza Bozorgmanesh

Science & Research Branch, Department of Chemical Engineering, I.A.U., Tehran, Iran ¹Research Institute of Petroleum Industry, Tehran, Iran ²South Branch, Graduate Factuality, Chemical Engineering Department, I.A.U., Tehran, Iran ³Central Branch, Department of Chemical Engineering, I.A.U., Tehran, Iran

Korean Journal of Chemical Engineering, September 2010, 27(5), 1601-1605(5), 10.1007/s11814-010-0265-9

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Abstract

A fundamental understanding of the interplay among the variables involved in a rapid expansion of supercritical solution (RESS) process is necessary in order to achieve control of product within the desired specifications. A model is proposed where the experimental data are fitted to a 2-D Sp-line equation that results in a mathematical pattern matching function that can easily be processed analytically to yield a continuous motion estimate. This model presents a novel promising method to interpolate between any two experimental results. Comparison of the mean particles size values which are calculated as a function of nozzle temperature (T(N)) and pre-expansion pressure (P(pre-expansion)) with the experimental data, results in a ±8% accuracy. The optimum operational point that leads to the minimum mean particles diameter (40 nm) is determined through mathematical optimization of this equation and confirmed experimentally._x000D_ Furthermore, 600 more values of mean particle size are predicted by varying the nozzle temperature and dissolution pressure and the results are presented in the form of a 3-dimesional curve.

Keywords

Mean Particles Size RESS 2-D Sp-line Equation Pre-expansion Pressure Nozzle Temperature Interpolation

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