화학공학소재연구정보센터
홈 로그인 로그아웃 연락처 사이트맵
Korean Journal of Chemical Engineering, Vol.27, No.5, 1601-1605, September, 2010
DOI10.1007/s11814-010-0265-9  Export Citation
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, and 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
E-mail:
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. 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
  1. Sun YP, Guduru R, Lin F, Whiteside T, Ind. Eng. Chem. Res., 39(12), 4663 (2000)
  2. Rogers TL, Johnston KP, Williams RO, Drug. Dev. Ind.Pharm., 27, 1003 (2001)
  3. Mohamed RS, Debenetti PG, Prud’home RK, AIChE J., 35, 325 (2002)
  4. Sethia S, Squinlante E, J. Pharm. Sci., 91, 1948 (2002)
  5. Thakur R, Gupta RB, Ind. Eng. Chem. Res., 44(19), 7380 (2005)
  6. Chang CJ, Radolph AD, AIChE J., 35, 1876 (1989)
  7. Bozic PS, Srcic S, Kerk J, Int. J. Pharmacology., 48, 543 (1997)
  8. Pathak P, Meziam MJ, Desai T, Sun YP, J. Supercrit. Fluids, 37(3), 279 (2006)
  9. Lele AK, Shine AD, Ind. Eng. Chem. Res., 33(6), 1476 (1994)
  10. Matson DW, Petersen RC, Smith RD, J. Mater. Sci., 22, 1919 (1987)
  11. Reverchon E, Pallado P, J. Supercrit. Fluids, 9(4), 216 (1996)
  12. Debenetti PG, Tom JW, Kwauk X, Yeo SD, Fluid Phase Equilibr., 82, 311 (1993)
  13. Chang CJ, Radolph AD, AIChE J., 35, 1876 (1989)
  14. Matson DW, Folton JL, Peterson RC, Smith RD, Material Lett., 10, 429 (1986)
  15. Kosal E, Lee CH, Holder GD, J. Supercrit. Fluids., 5, 169 (1992)
  16. Ksibi H, Subra P, Adv. Powder Technol., 7, 210 (1996)
  17. Charoenchaitrakool M, Dehghani F, Foster NR, Chan HK, Ind. Eng. Chem. Res., 39(12), 4794 (2000)
  18. Byun HS, Park YJ, Lim JS, J. Appl. Polym. Sci., 107(2), 1124 (2008)
  19. Helfgen B, Hils P, Holzknecht C, Turk M, Schaber K, J. Aerosol Sci., 32(3), 295 (2001)
  20. Hirunsit P, Huang Z, Srinophakun T, Charoenchaitrakool A, Kawi S, Powder Technol., 154(2-3), 83 (2005)
  21. Kayrak D, Akman U, Hortacsu O, J. Supercrit. Fluids, 26(1), 17 (2003)
  22. Reverchon E, Pallado P, J. Supercrit. Fluids, 9(4), 216 (1996)
  23. Fages J, Lochard H, Letourneau JJ, Sauceau M, Rodier E, Powder Technol., 141(3), 219 (2004)
  24. Yildiz N, Tuna S, Doker O, Calimli A, J. Supercrit. Fluids, 41(3), 440 (2007)
  25. Alvareza GA, Baumannb W, Adaimeb MB, Neitzelb F, Chemical & Pharmaceutical Bulletin., 641, 97 (2005)
  26. Kim JH, Paxton TE, Tomasko DL, Biotechnol. Prog., 12(5), 650 (1996)
  27. Matson DW, Folton JL, Peterson RC, Smith RD, Ind. Eng. Chem. Res., 26, 2298 (1987)
  28. Turk M, Hils P, Helfgen B, Schaber K, Martin HJ, Wahl MA, J. Supercrit. Fluids, 22(1), 75 (2002)
  29. Kawashima Y, York P, Advanced Drug Delivery Reviews., 60, 297 (2008)
  30. Zabihi F, Akbarnejad MM, Vaziri A, Arjomand M, Seyfkordi AA, IJCCE., 28, 441 (2009)
  31. Alessi P, Cortesi A, Kikic I, Foster NR, Macnaughton SJ, Colombo I, Ind. Eng. Chem. Res., 35(12), 4718 (1996)
  32. Meziani MJ, Pathak P, Hurezeanue R, Angew. Chem. Int. Ed., 43, 704 (2004)
  33. Wang JD, Chen JZ, Yang YR, J. Supercrit. Fluids, 33(2), 159 (2005)
  34. Tandya A, Dehghani F, Foster NR, J. Supercrit. Fluids, 37(3), 272 (2006)
  35. Foster N, Dehghani F, Warwick B, AAPS Pharm. Sci., 5, 77 (2003)
  36. Yeo SD, Kiran E, J. Supercrit. Fluids, 34(3), 287 (2005)
  37. Gupta AK, Gupta M, Biomaterials., 26, 3995 (2005)
  38. Sun YP, Meziani MJ, Pathak P, J. Am. Chem. Soc., 12, 10824 (2004)
  39. Galvao LC, Novae AG, Souza de Cursi JE, Computers and Operations Research., 33, 93 (2006)
  40. Vaiola F, Coe RL, Owen K, Ann. Biomed. Eng., 36, 1942 (2008)
  41. Spath H, Biomed. Eng., 36, 1942 (2008)
  42. Afsharian S, Keihani K, Applied mathematics in chemical engineering, Puranpazhuh Publications, Tehran (2005)
  43. Spath H, Biomed. Eng., 36, 1942 (2008)
  44. Kharattian R, Nikazar M, Applied mathematics in chemical engineering, Amir Kabir University Publications, Tehran (2006)
  45. Matlab, 7.5.0.342, R 2007 b.