한외여과에서 막 표면 농도 예측과 Sherwood 수 상관관계식 보정

조현수; 오준택; 이호원; 김우식

HWAHAK KONGHAK, Vol.29, No.6, 646-653, December, 1991

Export Citation

한외여과에서 막 표면 농도 예측과 Sherwood 수 상관관계식 보정

Estimation of Solute Concentration at Membrane Surface and Sherwood Number Correlation Modification in Ultrafiltration

조현수, 오준택, 이호원, 김우식

초록

평판형 한외여과 cell에서 dextran 500T 용액의 한외여과 실험을 행하여 조작 조건의 변화에 따른 막 표면 농도를 예측하고, 농도분극층 내의 밀도, 점도 및 확산계수 등의 물리적 성질 변화를 고려한 Sherwood 수 상관관계식을 제시하여 이의 타당성을 검토하였는 바, 농도분극 현상이 큰 경우 기존의 상관관계식에서 나타난 오차를 줄일 수 있었으며 이 때의 관계식은 다음과 같이 나타낼 수 있었다. N_Sh = 0.073ㆍN_Re^0.061ㆍN_Sc^0.33ㆍ[N_Sc/N_Scm]^-0.25 (삼투압 모델) N_Sh = 0.045ㆍN_Re^0.067ㆍN_SC^0.33ㆍ[N_Sc/N_Scm]^-0.20 (경계층 저항 모델)

Concentrations at membrane surface were predicted from ultrafiltration experiments of dextran 500T solution in a flat plate. From this results, considering the change of physical properties in boundary layer, modified Sherwood number correlation was introduced. This correlation reduced the errors for opera-tion pressure difference variation. The modified Sherwood number correlation equations are as follows: N_Sh=0.073ㆍN_Re^0.061ㆍN_Sc^0.33ㆍ[N_Sc/N_Scm]^-0.25 (osmotic pressure model) N_Sh=0.045ㆍN_Re^0.067ㆍN_Sc^0.33ㆍ[N_Sc/N_Scm]^-0.20 (boundary layer resistance model)

[References]

Ferry JD, Chem. Rev., 18, 373 (1936)
Loeb S, Sourirajan S, UCLA Eng. Report No. 60-60 (1960)
White RE, Pintauto PN, "Industrial Membrane Processes," AIChE Symp. Series, Vol. 82, No. 248, NY (1986)
Blatt WT, Dravid A, Michaels AS, Nelson L, "Separation Polarization and Cake Formation in Membrane Ultrafiltration: Cause, Consequences and Control Techniques," in Membrane Science and Technology, 47, Plenum Press, New York (1970)
Goldsmith RL, Ind. Eng. Chem. Fundam., 10, 113 (1971)
Kozinski AA, Lightfoot EN, AIChE J., 17, 81 (1971)
Wijmans JG, Nakao S, Smolders CA, J. Membr. Sci., 20, 115 (1984)
Wijmans JG, Nakao S, Vandenverg JWA, Troelstra FR, Smolder CA, J. Membr. Sci., 22, 117 (1985)
Minjinlieff PF, Jaspers WJM, Trans. Faraday Soc., 67(6), 1837 (1971)
Williams JW, "Ultrafiltration of Macromolecules," Academic Press, New York (1972)
Josson G, Desalination, 51, 61 (1984)
Vassilis G, Bengt H, J. Membr. Sci., 30, 153 (1987)
Lafaille JP, Sanchez V, Mahenc J, Int. Chem. Eng., 27(2), 258 (1987)
Cheryan M, "Ultrafiltration Handbook," Technomic Publishing Company, Inc., Langcaster (1986)

[1] Ferry JD, Chem. Rev., 18, 373 (1936)

[2] Loeb S, Sourirajan S, UCLA Eng. Report No. 60-60 (1960)

[3] White RE, Pintauto PN, "Industrial Membrane Processes," AIChE Symp. Series, Vol. 82, No. 248, NY (1986)

[4] Blatt WT, Dravid A, Michaels AS, Nelson L, "Separation Polarization and Cake Formation in Membrane Ultrafiltration: Cause, Consequences and Control Techniques," in Membrane Science and Technology, 47, Plenum Press, New York (1970)

[5] Goldsmith RL, Ind. Eng. Chem. Fundam., 10, 113 (1971)

[6] Kozinski AA, Lightfoot EN, AIChE J., 17, 81 (1971)

[7] Wijmans JG, Nakao S, Smolders CA, J. Membr. Sci., 20, 115 (1984)

[8] Wijmans JG, Nakao S, Vandenverg JWA, Troelstra FR, Smolder CA, J. Membr. Sci., 22, 117 (1985)

[9] Minjinlieff PF, Jaspers WJM, Trans. Faraday Soc., 67(6), 1837 (1971)

[10] Williams JW, "Ultrafiltration of Macromolecules," Academic Press, New York (1972)

[11] Josson G, Desalination, 51, 61 (1984)

[12] Vassilis G, Bengt H, J. Membr. Sci., 30, 153 (1987)

[13] Lafaille JP, Sanchez V, Mahenc J, Int. Chem. Eng., 27(2), 258 (1987)

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