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Title: Perturbation techniques in conduction-controlled freeze-thaw heat transfer
Authors: United States. Army Research Office.
Gonzaga University.
Lunardini, Virgil J.
Aziz, Abdul.
Keywords: Freeze-thaw
Heat transfer
Heat transmission
Heat conduction
Mathematical analysis
Perturbation theory k
Publisher: Cold Regions Research and Engineering Laboratory (U.S.)
Engineer Research and Development Center (U.S.)
Series/Report no.: CRREL monograph ; 93-1.
Description: CRREL Monograph
Abstract: Heat transfer with change of phase (freezing or melting) is important in numerous scientific and engineering applications. Since the pioneering works of Lamé and Clapeyron, Neumann and Stefan, a number of analytical and numerical techniques have been developed to deal with freezing and melting problems. One such analytical tool is the method of perturbation expansions, which is the main focus of this work. The report begins with a review of the perturbation theory and outlines the regular perturbation method, the method of strained coordinates, the method of matched asymptotic expansions, and the recently developed method of extended perturbation series. Next, the applications of these techniques to phase change problems in Cartesian, cylindrical, and spherical systems are discussed in detail. Although the bulk of the discussion is confined to one-dimensional situations, the report also includes two- and three-dimensional cases where admittedly the success of these techniques has so far been limited. The presentation is sufficiently detailed that even the reader who is unfamiliar with the perturbation theory can understand the material. However, at the same time, the discussion covers the latest literature on the subject and therefore should serve as a state-of-the-art review.
Rights: Approved for public release; distribution is unlimited.
Appears in Collections:Monograph

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