A Study on the Velocity, the Grain Size and the Bed Depth of the Rapid Filter

급속여과지(急速濾過池)의 여과속도(濾過速度)와 여재구성(濾材構成)의 연구(硏究) -여과저항(濾過抵抗)을 중심(中心)으로-

In spite of extensive knowledge of the surface chemistry and the transport mechanism in filtration systems, there is still insufficient understanding of the physical characteristics of suspensions and the system components. Because of this, no filtration mechanisms are mathematically generalized to the full extent. The purpose of this paper is to propose experimental equations for the filtration process. using the tracer study in filter layer. Some of results are as follows. (1) The Volume of the specific deposit (${\sigma}$) in filtration was directly measurable using the tracer study without interrupting the filtration. (2) It was also confirmed that the head loss in filtration was greatly in fluenced by the micro-air babbles. (3) The correction coefficient(f) was introduced into the Kozeny-Carman equation in order to apply it for the clogging filter media. The coefficient(f) was experimentally obtained. The total head loss of the filter media is given by next equation. $${\frac{h}{h_0}}={\frac{1}{L}}{\int}^{z=L}_{z=0}f({\sigma})g({\varepsilon}_0,{\sigma})dz$$ $$f=aexp(-b{\sigma})$$ The above equation was applicable without regard to the variation of the suspension concentration, the filter medium diameter, the filter depth, the filtration velocity, and the amount of aluminum in all continuous filtration experiments. (4) The total head loss was graphically generalized assuming mathematical filtration models I II (see fig. 7,8) (5) The total head loss was obtained from the filtration model in the field filtration conditions. (see fig. 9,10)

지금까지 발표되어 있는 여과공정(濾過工程)의 수학적(數學的) 해석(解析)의 결과(結果)는 범용성(汎用性)이 없고 실용적(實用的)으로 이용(利用)될 수 없는 문제점(問題點)이 있었다. 그러나 여과공정(濾過工程)을 수학적(數學的)으로 표현(表現)하는 것은 장치설계상(裝置設計上) 대단히 중요하기 때문에 본논문(本論文)은 급속여과지(急速濾過池)의 여과공정(濾過工程)을 해명(解明)하기 위하여 여층내(濾層內)의 tracer study의 결과(結果)를 정리한 것이다. 따라서 여과공정(濾過工程)을 해명(解明)하기 위해서 최대(最大)의 문제점(問題點)으로 되어 있던 억류물비퇴적량(抑留物比堆積量)을 직접(直接) 파악(把握)하는 것에 의해 Kozeny-Carman 식(式)을 보정(補正)하여 실제에 활용(活用)될 수 있는 미소여층(微小濾層)의 여과지저항식(濾過紙抵抗式)을 유도(誘導)하였다. 또 조지율(阻止率)과 비퇴적량(比堆積量)과의 상관(相關) model을 제안(提案)하고 이것을 이용(利用)해서 여과방정식(濾過方程式)을 풀고 그 값을 유도(誘導)한 여과저항식(濾過抵抗式)에 대입(對入)하여 전여층(全濾層)의 여과저항(濾過抵抗)을 구(求)하고 그 결과(結果)를 도표화(圖表化)함으로서 여과저항식(濾過抵抗式)을 이론(理論)과 실용(實用) 양면(兩面)에 넓게 활용(活用)될 수 있도록 하였다.