面向空气静压支承的多孔材料渗透特性研究

王伟; 张敏; 占国清; 崔海龙

doi:10.3788/OPE.20172509.2359

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面向空气静压支承的多孔材料渗透特性研究

微纳技术与精密机械 | 更新时间：2020-08-13

- 面向空气静压支承的多孔材料渗透特性研究
- Study on permeability characteristics of porous materials for aerostatic support
- 光学精密工程 2017年25卷第9期页码：2359-2366
- 作者机构：
  
  1.电子科技大学机械电子工程学院, 四川成都 611731
  2.中国工程物理研究院机械制造工艺研究所, 四川绵阳 621999
- 作者简介：
  
  [ "王伟(1980-), 男, 江苏睢方人, 副教授, 博士生导师, 2002年于武汉大学获得学士学位, 2007年、2010年于哈尔滨工业大学分别获得硕士、博士学位, 主要从事静压支承优化设计、五轴数控机床精度检测技术、基于物联网的数控机床组网等方面的研究.E-mail:wangwhit@163.com" ]
  [ "崔海龙（1989-），男，四川攀枝花人，博士研究生，2010年、2013年与电子科技大学分别获得学士、硕士学位，主要从事基于数值模拟的静压之承优化设计方面的研究。E-mail:cuihailong61@foxmail.com" ]
- 基金信息：
  
  国家自然科学基金委员会与中国工程物理研究院联合资助(U1530130)
- DOI：10.3788/OPE.20172509.2359
  中图分类号： TP394.1;TH691.9
- 收稿日期：2017-03-15，
  
  录用日期：2017-5-17，
  
  纸质出版日期：2017-09
- 稿件说明：
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王伟, 张敏, 占国清, 等. 面向空气静压支承的多孔材料渗透特性研究[J]. 光学精密工程, 2017,25(9):2359-2366.

Wei WANG, Min ZHANG, Guo-qing ZHAN, et al. Study on permeability characteristics of porous materials for aerostatic support[J]. Optics and precision engineering, 2017, 25(9): 2359-2366.
王伟, 张敏, 占国清, 等. 面向空气静压支承的多孔材料渗透特性研究[J]. 光学精密工程, 2017,25(9):2359-2366. DOI： 10.3788/OPE.20172509.2359.

Wei WANG, Min ZHANG, Guo-qing ZHAN, et al. Study on permeability characteristics of porous materials for aerostatic support[J]. Optics and precision engineering, 2017, 25(9): 2359-2366. DOI： 10.3788/OPE.20172509.2359.

摘要

为提高多孔质材料渗透系数的理论计算精度，本文基于分形理论建立了渗透系数求解模型，并基于图像处理优化了分形维数的求解方法。首先，利用扫描电子显微镜拍取4种多孔材料表面图像后，使用盒维法求解分形维数并研究多孔材料图像大小和放大倍数对分形维数求解准确性的影响。其次，基于气体Darcy定律、分形理论及修正的Hagen-Poiseulle气体方程建立了无修正系数的渗透系数求解方程，从而完善了多孔材料分形理论计算公式。最后搭建渗透系数测量平台，基于流动状态的判定结果，验证了理论推导的正确性。结果表明：图像越大、放大倍数越低，分形维数越趋近于真实值；通过建立材料的最大孔径、最小孔径、迂曲度及分形维数与渗透系数间的无经验参数的理论关系，可使渗透系数理论计算值更加准确。通过对比渗透系数理论计算值及实验值可知，误差值为5%~8%，满足材料渗透系数测量的误差要求。本文研究为材料渗透系数的准确获取提供了新的途径。

Abstract

To improve the theoretical calculation precision of permeability coefficient for porous material

solving model of permeability coefficient was established on the basis of fractal theory

and solving method of fractal dimension was optimized by image processing. Firstly

after photographing surface image of four kinds of porous materials with a scanning electron microscope

fractal dimension was solved by box dimension method and influence of image size and amplification factor of porous material on solving precision of fractal dimension was researched. Secondly

according to Darcy law

fractal theory and corrected Hagen-Poiseulle gas equation

solving equation of permeability coefficient without correction factor was established

resulting in calculation formula of fractal theory for porous material was improved. Finally measuring platform of permeability coefficient was established

and correctness of theoretical derivation was verified on the basis of judgment result of flow state. The result indicates: with increase of image size and decrease of amplification factor

fractal dimension approaches true value increasingly; theoretical calculation value of permeability coefficient is more accurate after theoretical relation without experience parameters of maximum diameter of hole

minimum diameter of hole

tortuosity

fractal dimension and permeability coefficient is established. Error value is 5%~8% through comparing theoretical calculation value of permeability coefficient and experiment value

which can satisfy error requirement of measuring for material permeability coefficient.This paper provides new ways of obtaining material permeability coefficient accurately.

关键词

Keywords

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