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http://dx.doi.org/10.3795/KSME-B.2011.35.3.287

First-Order Perturbation Solutions for Liquid Pool Spreading with Vaporization  

Kim, Myung-Bae (Division of Plant Safety and Reliability, Korea Institute of Machinery & Materials)
Do, Kyu-Hyung (Division of Plant Safety and Reliability, Korea Institute of Machinery & Materials)
Han, Yong-Shik (Division of Plant Safety and Reliability, Korea Institute of Machinery & Materials)
Choi, Byung-Il (Division of Plant Safety and Reliability, Korea Institute of Machinery & Materials)
Publication Information
Transactions of the Korean Society of Mechanical Engineers B / v.35, no.3, 2011 , pp. 287-291 More about this Journal
Abstract
We solve the simple physical model for liquid pool spreading with vaporization semi-analytically for the first time, using perturbation techniques. The results are compared with those obtained using numerical methods. We use the evaporation rate per unit area as a perturbation parameter, and first-order solutions are obtained for continuous and instantaneous release. The two solutions are nearly identical with respect to the pool radius. The pool volumes are nearly the same at the early stage of the spread and then start to diverge.
Keywords
Perturbation; Liquid Pool; Release; Vaporization; Spreading;
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