Abstract
This paper presents a mathematical model which simulates the Cherepnov water lifter, that can lift water without the use of external energy such as electricity. A theoritical study was conducted to reveal the characteristics of the Cherepnov water lifter that was continuously operated with the aid of the siphon. The mathematical model wal composed of the continuity equation and energy equation, and was coded using FORTRAN language. In this study, the govering flow equation of the lifter were derived and the computer programs of the equations were worked out. The accuracy of the theoretical equations and their solutions was checked by laboratory experimentation. The mathematical model that simulate the Cherepnov water lifter is appeared to be good to predict the behavior of Cherepnov water lifter. Therefore, the mathematical model and the simulation method used in this study could be used in designing of the Cherepnov water lifter.
본 연구는 Siphon을 배수제어장치로 이용한 Cherepnov송수기의 거동을 예측할 수 있는 수학적모델을 구성하는데 목적이 있다. Cherepnov송수기의 작동과정은 23단계로 이루어진다. 송수기의 각 단계별 작동과정은 에너지방정식과 연속방정식을 이용하여 표현하였고 또 이를 계산하기 위하여 전산프로그램을 작성하였다. 본 연구의 결과로 얻어진 전산프로그램은 실험조건과 동일한 수리학적 조건 및 기하학적 조건을 입력하여 실행할 수 있었으며 그 결과는 실험에 의한 각 탱크의 수위곡선, 공기압곡선, 효율과 작동주기를 잘 재현하였다. 따라서 본 연구에서 구성한 수학적모델은 Cherepnov송수기를 설계하고자 할 때 송수기의 제원등을 검토하는데 유용하게 사용될 수 있으리라 판단되었다.
