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分形理论结合相变动力学的冷表面结霜过程模拟
引用本文:刘耀民,刘中良,黄玲艳. 分形理论结合相变动力学的冷表面结霜过程模拟[J]. 物理学报, 2010, 59(11): 7991-7997
作者姓名:刘耀民  刘中良  黄玲艳
作者单位:北京工业大学环境与能源工程学院,教育部传热强化与过程节能重点实验室,北京 100124
基金项目:国家自然科学基金(批准号:50376001),北京市科学技术委员会北京市科技计划(批准号:Z07020600290793)和北京工业大学第七届研究生科技基金(批准号:ykj-2009-2338)资助的课题.
摘    要:运用分形理论并结合相变动力学模拟冷表面上结霜过程.在相变动力学基础上成功模拟了结霜初始阶段水蒸气在冷表面上凝结、液滴生长及冻结过程,随后运用分形理论的有限制的扩散凝聚(diffusion limited aggregation,DLA) 模型模拟了霜晶在冻结液滴表面上的形成生长过程.模拟结果与实验结果取得良好的一致,模拟过程中凝结液滴出现及冻结的时间与实验结果几乎完全符合;液滴冻结之前其表面接触半径随时间变化的模拟结果与实验结果基本一致,同时模拟霜层厚度与实验测得霜层厚度也非常接近.研究结果对于探讨分形理关键词:分形相变动力学结霜模拟

关 键 词:分形  相变动力学  结霜  模拟
收稿时间:2009-12-04

Simulation of frost formation process on cold plate based on fractal theory combined with phase change dynamics
Liu Yao-Min,Liu Zhong-Liang,Huang Ling-Yan. Simulation of frost formation process on cold plate based on fractal theory combined with phase change dynamics[J]. Acta Physica Sinica, 2010, 59(11): 7991-7997
Authors:Liu Yao-Min  Liu Zhong-Liang  Huang Ling-Yan
Affiliation:The Education Ministry Key Laboratory of Enhanced Heat Transfer and Energy Conservation, College of Environmental and Energy Engineering, Beijing University of Technology, Beijing 100124, China;The Education Ministry Key Laboratory of Enhanced Heat Transfer and Energy Conservation, College of Environmental and Energy Engineering, Beijing University of Technology, Beijing 100124, China;The Education Ministry Key Laboratory of Enhanced Heat Transfer and Energy Conservation, College of Environmental and Energy Engineering, Beijing University of Technology, Beijing 100124, China
Abstract:Simulation of frost formation process on cold surface is carried out based on fractal theory combined with phase change dynamics. Before frosting, the phenomena of vapor condensation, droplet growth and frozen on cold plate are successfully simulated based on phase change dynamics and then a fractal simulation of the frost formation and growth process over the frozen droplets is carried out based on diffusion limited aggregation (DLA) model. The simulation results accord well with the experimental results. The time when the condensation droplets are present and frozen on the surface during simulation process is nearly the same as the experimental result. Before the droplets are frozen, the trend that the surface contact radius of the droplet varies with condensation time is similar to actual one. The simulation results also show that the thickness of frost layer is nearly equal to the measured value. By that means, the feasibility of this method of simulating the frost formation is verified and the new attempt made to foster the combination between fractal theory and phase change dynamics is of great significance. This study also provids a foundational theory work for a more reasonable and accurate frosting process model.
Keywords:fractal  phase change dynamics  frost formation  simulation
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