Abstract
The objective of this study was to investigate the effect of running time, operating pressure, feed concentration and circulation rate on the permeation flux and the rejection rate in cross-flow ultrafiltration of polyethylene glycol(PEG) solution of molecular weight($M_w$) 8000 and 20000. The membranes used for this study were MWCO(Molecular Weight Cut-off) of 6 K and 20 K. The experiments were performed at the operating pressures of 7, 14 and 28 psi, the circulation rates of 1000 mL/min and 2000 mL/min, and the feed concentration of 100 mg/L and 1000 mg/L. At a constant pressure, the permeation flux and the observed rejection($R_o$) appeared to be approximately constant within the range of running time, 0~480 min. The permeation flux increased with increasing the operating pressure, and it increased with decreasing the feed concentration and decreasing Mw of PEG at a given pressure. On the other hand, $R_o$ decreased slightly with increasing the operating pressure. However, $R_o$ increased with increasing the feed concentration and increasing of $M_w$ of PEG at a given pressure. The variation in circulation rates did not cause any significant influence on the permeation flux. Increasing of circulation rate caused the increase of $R_o$, and $\alpha$ was increased substantially with the decrease of $M_w$ of PEG. The dimensionless parameter. permeability ratio($\alpha$), which was used to investigate flux-pressure behavior, was increased with the increase in circulation rate and operating presure. The value of $\alpha$ was less than 1 in all cases. The estimated intrinsic rejection(R). which was obtained from mass transfer coefficient, was decreased with the increase of operating pressure. However R increased with the increase of linear velocity of feed and $M_w$ of PEG.
본 연구는 두 종류의 Polyethlene Glycol(PEG, Mw; 8000, 20000)을 cross-flow로 한외여과(막; 분획분자량 6000, 20000)함에 있어서 시간, 운전압력, 유입농도, 그리고 순환유량의 변화에 따라 투과유속과 제거율의 관계를 조사하는데 목적을 두고 있다. 실험진행에 있어서 운전압력은 7, 14, 28 psi의 3단계로, 순환유량은 1000 mL/min와 2000 mL/min 두 가지로, 그리고 유입농도도 100 mg/L과 1000 mg/L의 두가지로 하여 실행하였다. 투과유속은 PEG의 분자량과 농도가 작을수록 압력증가와 함께 증가하였으며, 겉보기제거율($R_o$)은 PEG의 분자량과 농도가 클수록 증가하였다. 그러나 압력이 증가되었을 때 $R_o$는 감소하였다. 일정한 압력하에서 PEG수용액의 투과유속과 $R_o$는 시간변화(8 h)에 관계없이 일정하였다. 순환유량의 변화에 있어서 투과유속에는 거의 영향이 없었으나, $R_o$는 순환유량이 큰 경우가 높게 나타났으며, 두 순환유량의 경우 모두 압력증가와 함께 $R_o$는 감소하였다. 한편, 투과유속과 조작압력의 거동을 분석하기 위해 사용된 투과도비($\alpha$)는 조작압력과 순환유량의 증가와 함께 증가하였으며, 모든 경우에서 1보다 작게 나타났기 때문에 농도분극현상을 분석할 수 있었다. 그리고 물질전달계수로부터 얻은 진제거율(R)은 압력증가와 함께 감소하였으며, 선유속과 PEG의 분자량이 클수록 높게 나타났다.
