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

순간 누출된 액체의 확산에 관한 2차 섭동 해

  • 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.


Perturbation;Liquid pool;Instantaneous spill;Spreading;Second-order


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