- Volume 21 Issue 6
Second-Order Perturbation Solutions of Liquid Pool Spreading with Instantaneous Spill
순간 누출된 액체의 확산에 관한 2차 섭동 해
- Kim, Myung-Bae (Plant Safety & Reliability Division, Korea Institute of Machinery & Materials) ;
- Do, Kyu-Hyung (Plant Safety & Reliability Division, Korea Institute of Machinery & Materials) ;
- Han, Yong-Shik (Plant Safety & Reliability Division, Korea Institute of Machinery & Materials) ;
- Choi, Byung-Il (Plant Safety & Reliability Division, Korea Institute of Machinery & Materials)
- 김명배 (한국기계연구원 플랜트안전신뢰성연구실) ;
- 도규형 (한국기계연구원 플랜트안전신뢰성연구실) ;
- 한용식 (한국기계연구원 플랜트안전신뢰성연구실) ;
- 최병일 (한국기계연구원 플랜트안전신뢰성연구실)
- Received : 2010.08.10
- Accepted : 2010.12.17
- Published : 2010.12.31
In the present work the second-order perturbation solutions of the simple physical model for liquid pool spreading is obtained for the case of instantaneous spill. To generalize the solution governing equations are non-dimensionalized, and two dimensionless parameters, dimensionless evaporation rate and aspect ratio of the initial pool, are identified to control the governing equations. The dimensional governing equations have three parameters. The second-order solution improves fairly the first-order solution for the pool volume.
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