규칙 배열된 실관막을 이용한 투과추출에서 물질전달의 이론적 해석

이호원; 김우식

HWAHAK KONGHAK, Vol.33, No.2, 165-176, April, 1995

Export Citation

규칙 배열된 실관막을 이용한 투과추출에서 물질전달의 이론적 해석

Theoretical Analysis of Mass Transfer in Perstraction Using Regular Arrays of Hollow Fibers

이호원, 김우식

초록

본 연구는 실관형 막모듈을 이용한 투과추출의 설계 인자 규명 및 분리기구 해석을 위한 연구로서 실관형 막모듈에서의 농도 프로필에 대한 해석적 해를 구하고, 이를 이용하여 실관막의 성질, 분배계수, 포팅밀도(potting density), 막 두께, 막의 세공률(porosity) 및 굴곡률(tortuosity) 등의 투과추출 제반인자 변화에 대한 물질전달 속도 변화를 비교함으로서 실관막을 이용한 투과추출의 물질전달 현상을 해석하였다. 농도 프로필을 이용한 해석결과 물질전달 속도는 주로 막상에서의 용질확산에 의해 좌우되었고 핏치에 대한 직경의 비가 0.8-0.9에서 최대값을 나타내었으며, 분배계수가 1보다 작은 계에서는 친수성막이, 1보다 큰 계에서는 친수성 막보다 소수성막이 빠른 물질전달 속도를 나타내었다.

The purpose of this study is to clarify perstraction(permeation-extraction) factors and to analyze separation mechanism in perstraction using hollow fiber modules. The analytical solution on the concentration profiles in hollow fiber modules has been obtained. Also, using this solution, separation mechanism was analyzed by comparing the mass transfer rate changes according to the changes in perstraction factors such as the properties of hollow fibers, distribution coefficient, potting density, and the thickness, porosity and tortuosity of the hollow fibers. The analyses based on concentration profiles show that the mass transfer rate depends mainly on the solute diffusion in the membrane phase, and it has maximum values when the ration of diameter to pitch is between 0.8-0.9 while hydrophilic membrane shows faster mass transfer rates in the system with the distribution coefficient less than 1, hydrophobic membrane shows faster mass transfer rates when the distribution coefficient is above 1.

[References]

Lo TC, Baird MHI, Hanson C, "Handbook of Solvent Extraction," John Wiley & Sons, Inc., NY (1983)
Schweitzer PA, "Handbook of Separation Techniques for Chemical Engineers," McGraw-Hill, NY (1973)
Matsumura M, Markl H, Biotechnol. Bioeng., 28, 534 (1986)
Lee LTC, Ho WS, Liu KJ, U.S. Patent, 3,956,112 (1976)
Kim BM, J. Membr. Sci., 21, 5 (1984)
Kiani A, Bhave RR, Sikar KK, J. Membr. Sci., 20, 125 (1984)
Kiani A, Bhave RR, Sikar KK, J. Membr. Sci., 26, 79 (1986)
Yang MC, Cussler EL, AIChE J., 32(8), 1910 (1986)
Prasad R, Sikar KK, Sep. Sci. Technol., 22(2), 619 (1987)
Prasad R, Sikar KK, AIChE J., 34(2), 177 (1988)
Dahuron L, Cussler EL, AIChE J., 34(1), 130 (1988)
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Sellars JR, Tribas M, Kelin JS, Trans. ASME, 78, 441 (1956)

[1] Lo TC, Baird MHI, Hanson C, "Handbook of Solvent Extraction," John Wiley & Sons, Inc., NY (1983)

[2] Schweitzer PA, "Handbook of Separation Techniques for Chemical Engineers," McGraw-Hill, NY (1973)

[3] Matsumura M, Markl H, Biotechnol. Bioeng., 28, 534 (1986)

[4] Lee LTC, Ho WS, Liu KJ, U.S. Patent, 3,956,112 (1976)

[5] Kim BM, J. Membr. Sci., 21, 5 (1984)

[6] Kiani A, Bhave RR, Sikar KK, J. Membr. Sci., 20, 125 (1984)

[7] Kiani A, Bhave RR, Sikar KK, J. Membr. Sci., 26, 79 (1986)

[8] Yang MC, Cussler EL, AIChE J., 32(8), 1910 (1986)

[9] Prasad R, Sikar KK, Sep. Sci. Technol., 22(2), 619 (1987)

[10] Prasad R, Sikar KK, AIChE J., 34(2), 177 (1988)

[11] Dahuron L, Cussler EL, AIChE J., 34(1), 130 (1988)

[12] Sparrow EM, Loeffler AL, AIChE J., 5(3), 325 (1959)

[13] Noda I, Gryte CC, AIChE J., 25(1), 113 (1979)

[14] Skelland AHP, "Diffusional Mass Transfer," John Wiley & Sons, Inc., NY (1974)

[15] Sellars JR, Tribas M, Kelin JS, Trans. ASME, 78, 441 (1956)