An approximate method for evaporation problem with mushy zone |
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| Affiliation: | 1. School of Engineering, University of Mississippi, 301 Brevard Hall, USA;2. Department of Mathematics, Imam Khomeini International University, Qazvin, 34149-16818, Iran;3. State Key Laboratory of Hydrology–Water Resources and Hydraulic Engineering, College of Mechanics and Materials, Hohai University, Nanjing 210098, China;1. Dept. of Mechanical Engineering, Seoul National University of Science and Technology, Republic of Korea;2. Dept. of Mechanical and Automotive Engineering, Seoul National University of Science and Technology, Republic of Korea;1. DIISM, Università Politecnica delle Marche, Ancona, Italy;2. Department of Mechanical and Industrial Engineering, Qatar University, Doha, Qatar;1. Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA;2. School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907, USA |
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| Abstract: | In the present paper, a simple mushy zone model is used to track the moving boundaries in an evaporation problem in which the vapor is removed upon formation. Two main parameters for the mushy zone model are analyzed as well as their effect on the movement of the moving boundaries and the thickness of the mushy zone. A new approximate method is developed for analysis and tracking the moving boundaries appears throughout the process. The proposed method mainly based on applying the boundary integral equation corresponding to each phase in such a way that the associated boundary and initial conditions as well as energy equations at the moving boundaries achieved with minimum error and low number of iterations. The results of the present paper seem to be good because there are neither analytical or numerical solutions available. |
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