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Received August 25, 2014
Accepted October 21, 2014
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병류흐름 중공사 분리막에 의한 메탄 분리 수치해석
Numerical Analysis for Separation of Methane by Hollow Fiber Membrane with Cocurrent Flow
충남대학교 화학공학과, 305-764 대전광역시 유성구 대학로 99 1한국화학연구원, 305-600 대전광역시 유성구 가정로 141
Department of Chemical Engineering, Chungnam National University, 99 Daehak-ro, Yuseong-gu, Daejeon 305-764, Korea 1Korea Research Institute of Chemical Technology, 141 Gajeong-ro, Yuseong-gu, Daejeon 305-600, Korea
Korean Chemical Engineering Research, June 2015, 53(3), 295-301(7), 10.9713/kcer.2015.53.3.295 Epub 2 June 2015
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Abstract
폴리설폰 분리막을 이용한 바이오 메탄 가스 농축 특성을 이론적 방법으로 분석하였다. 병류 흐름 분리막 공정의 지배 방정식을 유도하고 Compaq Visual Fortran 6.6 소프트웨어를 이용하여 유도된 비선형 상미분 방정식을 수치 해석하였다. 공급 메탄 몰분율이 0.7로 주어진 전형적 운전조건에서 분리막 입구로부터 출구로 이동하면서 잔류 측 메탄몰분율은 0.7에서 0.76로 증가하였고 공급유량 대비 잔류유량 비는 1에서 0.79로 감소하였다. 공급 메탄 몰분율 또는 공급 압력이 증가할수록 잔류 측 메탄 몰분율은 증가하였다. 분리막 길이를 고정한 상태에서 분리막 면적이 감소하거나 투과 측 압력 대 공급 측 압력 비가 증가함에 따라 잔류 측 메탄 몰분율이 감소함을 확인하였다. 총 투과 분율이 증가할수록 잔류 측 메탄 몰분율은 증가하였고 메탄 회수율은 감소함을 관찰할 수 있었다.
A theoretical analysis was carried out to examine the concentration behavior of methane from a biogas using a polysulfone membrane. After the governing equations were derived for the cocurrent flow mode in a membrane module, the coupled nonlinear differential equations were numerically solved with the Compaq Visual Fortran 6.6 software. At the typical operating condition of mole fraction of 0.7 in a feed stream, the mole fraction of methane in the retentate increased to 0.76 while the normalized retentate flow rate to the feed flow rate decreased from 1 to 0.79. When either the mole fraction of methane in a feed increased or the pressure of the feed stream increased, the methane mole fraction in the retentate increased. On the other hand, it was found that as either the membrane area decreased or the ratio of the permeate pressure to the feed pressure increased, the methane mole fraction in the retentate decreased. In case that the stage cut increased, the methane mole fraction in the retentate increased while the recovery of methane slightly decreased.
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