Browse > Article

Second-Order Perturbation Solutions of Liquid Pool Spreading with Instantaneous Spill  

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)
Publication Information
Transactions of the Korean hydrogen and new energy society / v.21, no.6, 2010 , pp. 513-518 More about this Journal
Abstract
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.
Keywords
Perturbation; Liquid pool; Instantaneous spill; Spreading; Second-order;
Citations & Related Records
연도 인용수 순위
  • Reference
1 F. Briscoe and P. Shaw, "Spread and evaporation of liquid", Prog. Energy Comb. Sci., Vol. 6, 1980, pp. 127-140.   DOI   ScienceOn
2 김명배, 도규형, 한용식, 최병일, "증발하는 액체의 퍼짐에 관한 섭동해", 한국연소학회 춘계학술대회 논문집, 2010, pp. 177-181.
3 A. H. Nayfeh, "Introduction to perturbation techniques", JOHN WILEY & SONS, New York, 1981, p. 113.
4 W. Stein and D.L Ermak, "One-dimensional numerical fluid dynamics model of the spreading of liquefied gaseous fuel (LGF) on water", Lawrence Livermore National Laboratory, UCRL- 53078, 1980.
5 K. Verfondern and B. Dienhart, "Experimental and theoretical investigation of liquid hydrogen pool spreading and vaporization", Int. J. Hydrogen Energy, Vol. 22, No. 7, 1997, pp. 649-660.   DOI   ScienceOn
6 J. Brandeis and E. Kansa, "Numerical simulation of liquefied fuel spills: I. Instantaneous release into a confined area", Int. J. Num. Methods in Fluids, Vol. 3, 1983, pp. 333-345.   DOI   ScienceOn
7 J. Brandeis and D. Ermak, "Numerical simulation of liquefied fuel spills: II. Instantaneous and continous LNG spills on an unconfined water surface", Int. J. Num. Methods in Fluids, Vol. 3, 1983, pp. 347-361.   DOI
8 A.G. Venetsanos and J.G. Bartzis, "CFD modelling of large-scale LH2 spills in open environment", Proceedings of International Conference on Hydrogen Safety, 2005, pp. 125-136, Pisa, Italy.