Analysis of Continuous Stirred Ultrafiltration Based on Dimensional Analysis Approach

Chiranjib Bhattacharjee

Korean Journal of Chemical Engineering, Vol.21, No.3, 556-561, May, 2004

DOI10.1007/BF02705487 Export Citation

Analysis of Continuous Stirred Ultrafiltration Based on Dimensional Analysis Approach

Chiranjib Bhattacharjee^†

Department of Chemical Engineering, Jadavpur University, Calcutta-700032, India

E-mail:

In this study an attempt has been made to obtain a dimensional analysis based empirical model of ultrafiltration process under stirred condition, which for a given membrane will predict the permeate flux and the rejection during the dynamic as well as the steady state phases of operation from the process conditions applied, viz. pressure drop, stirrer speed, bulk concentration of the filtered species etc. A dimensional analysis by Rayleigh’s method was performed and the obtained dimensionless groups were related with the help of experimentally obtained data in this study, by non-linear regression employing Levenberg and Marquardt technique. Two equations have been obtained, one for the prediction of flux and other for the rejection. The computed results are found to be in good agreement with the experimental data obtained in this study during the ultrafiltration of PEG-6000 by cellulose acetate membrane and the absolute average deviation was found to be within less than 7%.

Keywords:Ultrafiltration;Flux;Rejection;Dimensional Analysis;Simulation;Experimental Data

[References]

Belfort G, Nagata N, Desalination, 53, 57 (1985)
Belfort G, Davis RH, Zydney AL, J. Membr. Sci., 96(1-2), 1 (1994)
Cheryan M, "Ultrafiltration Handbook," Technomic Publishing Company Inc. (1986)
Goldsmith RL, Ind. Eng. Chem. Fundam., 10, 13 (1971)
Iritani E, Mukai Y, Korean J. Chem. Eng., 14(5), 347 (1997)
Jung CW, Kang LS, Korean J. Chem. Eng., 20(5), 855 (2003)
Kim JP, Kim JJ, Korean J. Chem. Eng., 20(1), 99 (2003)
Lebrun RE, Bonchard CR, Rollin AL, Masura T, Sourirajan S, Chem. Eng. Sci., 44(2), 313 (1989)
Minnikanti VS, DasGupta S, De S, J. Membr. Sci., 157(2), 227 (1999)
Nakao S, Nomura T, Kimura S, AIChE J., 25, 615 (1979)
Park SJ, Yoon HH, Song SK, Korean J. Chem. Eng., 14(4), 233 (1997)
Press WH, Flannery PO, Teukolsky SA, Vettering WT, "Numerical Recipes," 2nd ed., Cambridge University Press, Cambridge (1992)
Redkar S, Kuberkar V, Davis RH, J. Membr. Sci., 121(2), 229 (1996)
Ruth BF, Ind. Eng. Chem., 27(6), 708 (1935)
Secchi AR, Wada K, Tessaro IC, J. Membr. Sci., 160(2), 255 (1999)
Shen JS, Probstien RF, Ind. Eng. Chem. Fundam., 16, 459 (1977)
Song L, Elimelech M, J. Chem. Soc.-Faraday Trans., 91(19), 3389 (1995)
Song LF, J. Membr. Sci., 139(2), 183 (1998)
Tarleton ES, Wakeman RJ, Trans. Chem. Eng., 71, 399 (1993)
Trettin DR, Doshi MR, Chem. Eng. Commun., 4, 507 (1980)
Trettin DR, Doshi MR, Ind. Eng. Chem. Fundam., 19, 189 (1980)
Zeman LZ, Zydney AL, "Microfiltration and Ultrafiltration," Marcell Dekker Inc. (1996)

[Referenced By]

[1] Belfort G, Nagata N, Desalination, 53, 57 (1985)

[2] Belfort G, Davis RH, Zydney AL, J. Membr. Sci., 96(1-2), 1 (1994)

[3] Cheryan M, "Ultrafiltration Handbook," Technomic Publishing Company Inc. (1986)

[4] Goldsmith RL, Ind. Eng. Chem. Fundam., 10, 13 (1971)

[5] Iritani E, Mukai Y, Korean J. Chem. Eng., 14(5), 347 (1997)

[6] Jung CW, Kang LS, Korean J. Chem. Eng., 20(5), 855 (2003)

[7] Kim JP, Kim JJ, Korean J. Chem. Eng., 20(1), 99 (2003)

[8] Lebrun RE, Bonchard CR, Rollin AL, Masura T, Sourirajan S, Chem. Eng. Sci., 44(2), 313 (1989)

[9] Minnikanti VS, DasGupta S, De S, J. Membr. Sci., 157(2), 227 (1999)

[10] Nakao S, Nomura T, Kimura S, AIChE J., 25, 615 (1979)

[11] Park SJ, Yoon HH, Song SK, Korean J. Chem. Eng., 14(4), 233 (1997)

[12] Press WH, Flannery PO, Teukolsky SA, Vettering WT, "Numerical Recipes," 2nd ed., Cambridge University Press, Cambridge (1992)

[13] Redkar S, Kuberkar V, Davis RH, J. Membr. Sci., 121(2), 229 (1996)

[14] Ruth BF, Ind. Eng. Chem., 27(6), 708 (1935)

[15] Secchi AR, Wada K, Tessaro IC, J. Membr. Sci., 160(2), 255 (1999)

[16] Shen JS, Probstien RF, Ind. Eng. Chem. Fundam., 16, 459 (1977)

[17] Song L, Elimelech M, J. Chem. Soc.-Faraday Trans., 91(19), 3389 (1995)

[18] Song LF, J. Membr. Sci., 139(2), 183 (1998)

[19] Tarleton ES, Wakeman RJ, Trans. Chem. Eng., 71, 399 (1993)

[20] Trettin DR, Doshi MR, Chem. Eng. Commun., 4, 507 (1980)

[21] Trettin DR, Doshi MR, Ind. Eng. Chem. Fundam., 19, 189 (1980)

[22] Zeman LZ, Zydney AL, "Microfiltration and Ultrafiltration," Marcell Dekker Inc. (1996)