A discrete-sectional model for particle growth in aerosol reactor: Application to titania particles

Chowdhury Golam Moniruzzaman; Kyun Young Park

Korean Journal of Chemical Engineering, Vol.23, No.1, 159-166, January, 2006

DOI10.1007/BF02705709 Export Citation

A discrete-sectional model for particle growth in aerosol reactor: Application to titania particles

Chowdhury Golam Moniruzzaman, and Kyun Young Park^†

Department of Chemical Engineering, Kongju National University, Gongju, Chungnam 314-701, Korea

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A one-dimensional discrete-sectional model has been developed to simulate particle growth in aerosol reactors. Two sets of differential equations for volume and surface area, respectively, were solved simultaneously to determine the size distributions of agglomerates and primary particles. The surface area equations were derived in such a way that the coagulation integrals calculated for the volume equations could be used for the surface area equations as well, which is new in this model. The model was applied to a production of TiO2 particles by oxidation of titanium tetrachloride. Model predictions were compared with experimental data and those of a two-dimensional sectional model. Good agreement was shown in calculated particle size distributions between the present model and the two-dimensional model, which is more rigorous but demands a large amount of computer time and memory. Compared to experimental data, the primary particle size calculated by the model was more sensitive to the variation of reactor temperature.

Keywords:Coalescence;Coagulation;Primary Particle and Discrete-Sectional Model

[References]

Friedlander SK, Smoke, dust and haze, Wiley, New York (1977)
Gelbard F, Seinfeld JH, J. Colloid Interface Sci., 68, 363 (1979)
Gelbard F, Tambour Y, Seinfeld JH, J. Colloid Interface Sci., 76, 541 (1980)
Graham SC, Robinson A, J. Aerosol Sci., 7, 261 (1976)
Jeong JI, Choi M, J. Aerosol Sci., 32, 567 (2001)
Koch W, Friedlander SK, J. Colloid Interface Sci., 140, 419 (1990)
Kobata A, Kusakabe K, Morooka S, AIChE J., 37, 347 (1991)
Landgrebe JD, Pratsinis SE, J. Colloid Interface Sci., 139, 63 (1990)
Matsoukas T, Friedlander SK, J. Colloid Interface Sci., 146, 495 (1991)
Moniruzzaman CG, Analysis of iron particle growth by a discretesectional model, MS thesis, 2005, Department of Chemical Engineering, Kongju National University, Chungnam 314-701, Korea.
Okuyama K, Kousaka Y, Tohge N, Yamamoto S, Wu JJ, Flagan RC, Seinfeld JH, AIChE J., 32, 2010 (1986)
Pratsinis SE, Bai H, Biswas P, Frenklach M, Mastrangelo SVR, J. Am. Ceram. Soc., 73, 2158 (1990)
Press WH, Teukolsky SA, Vetterling WT, Flannery BP, Numerical recipes in FORTRAN 77, Cambridge University Press (1992)
Rogak SN, Flagan RC, J. Colloid Interface Sci., 151, 203 (1992)
Tsantilis S, Pratsinis SE, AIChE J., 46(2), 407 (2000)
Ulrich GD, Combust. Sci. Technol., 4, 47 (1971)
Wu JJ, Flagan RC, J. Colloid Interface Sci., 123, 339 (1988)
Xiong Y, Pratsinis SE, J. Aerosol Sci., 24, 283 (1993)
Xiong Y, Pratsinis SE, J. Aerosol Sci., 24, 301 (1993)

[Referenced By]

[Related Articles]

[1] Friedlander SK, Smoke, dust and haze, Wiley, New York (1977)

[2] Gelbard F, Seinfeld JH, J. Colloid Interface Sci., 68, 363 (1979)

[3] Gelbard F, Tambour Y, Seinfeld JH, J. Colloid Interface Sci., 76, 541 (1980)

[4] Graham SC, Robinson A, J. Aerosol Sci., 7, 261 (1976)

[5] Jeong JI, Choi M, J. Aerosol Sci., 32, 567 (2001)

[6] Koch W, Friedlander SK, J. Colloid Interface Sci., 140, 419 (1990)

[7] Kobata A, Kusakabe K, Morooka S, AIChE J., 37, 347 (1991)

[8] Landgrebe JD, Pratsinis SE, J. Colloid Interface Sci., 139, 63 (1990)

[9] Matsoukas T, Friedlander SK, J. Colloid Interface Sci., 146, 495 (1991)

[10] Moniruzzaman CG, Analysis of iron particle growth by a discretesectional model, MS thesis, 2005, Department of Chemical Engineering, Kongju National University, Chungnam 314-701, Korea.

[11] Okuyama K, Kousaka Y, Tohge N, Yamamoto S, Wu JJ, Flagan RC, Seinfeld JH, AIChE J., 32, 2010 (1986)

[12] Pratsinis SE, Bai H, Biswas P, Frenklach M, Mastrangelo SVR, J. Am. Ceram. Soc., 73, 2158 (1990)

[13] Press WH, Teukolsky SA, Vetterling WT, Flannery BP, Numerical recipes in FORTRAN 77, Cambridge University Press (1992)

[14] Rogak SN, Flagan RC, J. Colloid Interface Sci., 151, 203 (1992)

[15] Tsantilis S, Pratsinis SE, AIChE J., 46(2), 407 (2000)

[16] Ulrich GD, Combust. Sci. Technol., 4, 47 (1971)

[17] Wu JJ, Flagan RC, J. Colloid Interface Sci., 123, 339 (1988)

[18] Xiong Y, Pratsinis SE, J. Aerosol Sci., 24, 283 (1993)

[19] Xiong Y, Pratsinis SE, J. Aerosol Sci., 24, 301 (1993)