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通孔金属泡沫渗透率解析模型
引用本文:杨肖虎,白佳希,卢天健.通孔金属泡沫渗透率解析模型[J].力学学报,2014,46(6):982-986.
作者姓名:杨肖虎  白佳希  卢天健
作者单位:1 西安交通大学能源与动力工程学院, 西安 710049
基金项目:国家重点基础研究发展规划(2011CB6103005);高等学校学科创新引智计划(B06024)资助项目~~
摘    要:针对通孔金属泡沫中的渗透率预测及现有理论模型的局限性,发展了一种新的全解析渗透率模型. 该模型以立方体结构作为代表单元,采用基于追踪流体微团轨迹的分支算法解析求解代表单元内的流动迂曲度. 渗透率的表达形式简单且不含任何拟合或经验参数,仅是孔隙率与平均孔径的函数. 采用实验测量和文献数据对模型预测进行了验证. 结果表明:提出的模型能够在较为宽广的孔隙率(0.55~0.98) 和孔密度(5~100 PPI) 范围内预测孔通孔金属泡沫的渗透率;采用分支算法得到的流动迂曲度能够较好地描述流体在通孔金属泡沫中的流动特征;采用开孔率修正的解析模型亦能对半开孔泡沫材料的渗透率提供良好预测. 

关 键 词:通孔金属泡沫    渗透率    迂曲度    解析模型    分支算法
收稿时间:2014-07-16

A SIMPLISTIC ANALYTICAL MODEL OF PERMEABILITY FOR OPEN-CELL METALLIC FOAMS
Institution:1 School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an 710049, China2 Multidisplinary Research Center for Lightweight Structures and Materials, Xi'an Jiaotong University, Xi'an 710049, China3 State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi'an Jiaotong University, Xi'an 710049, China
Abstract:Based on a generalized tortuosity model and a cubic unit cell topology, an analytical model is developed for predicting the permeability of open-cell metallic foams. The present model has a simple form and requires no fitting or empirical parameters. It is capable of analytically predicting the permeability of open-cell foams over a wide range of porosities (0.55~0.98) and pore densities (5~100 PPI), with good agreement with experimental data. Results demonstrate that the flow tortuosity determined by algorithm branching method enables faithfully capturing the behavior of fluid flow across open-cell metallic foams. Further, the modification made by open pore rate successfully extends the present permeability model from fully-open foams to semi-open ones. 
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