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Filtration with Sedimentation II: New Analysis and Solid Mass Fraction of Suspension Entering Cake

침전이 수반되는 케이크 여과 II: 새로운 분석과 케이크에 도입되는 현탁액의 고체 질량분율

  • Yim, Sung Sam (Department of Environmental Engineering, Inha University)
  • 임성삼 (인하대학교 사회기반시스템공학부 환경공학전공)
  • Received : 2011.10.25
  • Accepted : 2011.12.06
  • Published : 2012.06.01

Abstract

Filtration on horizontal filter medium facing upward is accompanied by sedimentation. When sedimentation phenomenon is not considered, the average specific cake resistance by filtration could be in error more than two times. In the previous paper on this subject, it was insisted that the solid mass fraction of suspension changes in filtration period by sedimentation. But we could not find out the degree of change. At the first half of this paper, the average specific cake resistance measured by permeation will be proved to be exact in several means. The average specific cake resistance conventionally measured by filtration does not give correct results because it uses initial solid mass fraction of suspension. Then we calculated the changed solid mass fraction of suspension due to sedimentation during filtration by the experimental values obtained "filtration-permeation" method. We also determined the solid mass fraction at a certain moment of filtration from the suspension height and a new equation derived in this study. The two results were compared and proven that they almost matched.

수평 여과매체를 사용한 케이크 여과에서는 침전이 수반된다. 이 침전 현상을 고려하지 않을 경우 여과기간의 케이크 평균비저항 값이 두 배 이상까지도 잘못 측정될 수 있다. 저자의 전번 논문에서는 여과기간에 침전으로 인해 케이크에 들어가는 현탁액의 고체분율이 변화한다는 것을 이론적으로 주장하였으나, 그 변화가 어느 정도인지를 알아내지 못하였다. 이 논문에서는 먼저 여과-투과 실험방법에 대한 분석에서 투과기간에 측정된 케이크 평균비저항 값이 옳다는 것을 여러 방법으로 증명하고, 여과기간에 통상적인 방법으로 측정된 평균비저항 값은 여과가 진행되는 순간의 현탁액의 고체분율 대신 초기 고체분율을 사용하므로 정확하지 못하다는 것을 입증하였다. 여과와 투과에서 측정된 실험값을 사용하여, 여과 진행 동안 침전에 의해 변화한 현탁액의 고체분율을 계산하였다. 그 후 여과 진행 동안 측정한 현탁액의 높이 변화 값과 이 논문에서 새로 만든 수식을 사용하여 여과 진행 중의 현탁액 고체분율을 결정하였다. 두 가지 방법으로 결정된 현탁액의 고체분율을 비교하여 두 가지가 거의 일치함을 입증하였다.

Keywords

Acknowledgement

Supported by : 인하대학교

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