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http://dx.doi.org/10.3795/KSME-B.2012.36.9.907

High-Order Perturbation Solutions of Liquid Pool Spreading with Continuous Spill  

Kim, Myung-Bae (Division of Plant Safety Engineering, Korea Institute of Machinery & Materials)
Do, Kyu-Hyung (Division of Plant Safety Engineering, Korea Institute of Machinery & Materials)
Han, Yong-Shik (Division of Plant Safety Engineering, Korea Institute of Machinery & Materials)
Choi, Byung-Il (Division of Plant Safety Engineering, Korea Institute of Machinery & Materials)
Publication Information
Transactions of the Korean Society of Mechanical Engineers B / v.36, no.9, 2012 , pp. 907-913 More about this Journal
Abstract
High-order perturbation solutions have been obtained for the simple physical model describing the liquid pool spreading with a continuous spill, and these are shown to improve over first-order perturbation solutions. The non-dimensional governing equations for the model are derived to obtain more general solutions. Non-dimensional parameters are sought as the governing parameters for the non-dimensional equations, and the non-dimensional evaporation rate is used as the perturbation parameter. The results show that the high-order solutions exhibit an improvement over the first-order solutions with respect to the pool volume as well as the spreading radius. In addition, as the order of the perturbation solutions increases, the difference between the numerical solutions and the perturbation solutions is significantly reduced. Finally, it is revealed that the third-order solutions are reasonable because they almost agree with the numerical solutions.
Keywords
Perturbation; Liquid Pool; Spill; High-Order; Spreading;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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