颗粒型多孔材料孔隙率理论分析和实验研究
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摘要
颗粒型多孔材料中基体颗粒存在多种堆积形式,分为绝对稳定堆积和亚稳定堆积。建立无边界影响的堆积颗粒型多孔材料孔隙率理论模型,获得无边界影响下多孔材料的理论孔隙率。理论分析认为每种堆积形式存在的概率相等,推导获得颗粒型多孔材料的孔隙率为定值0. 377。通过与文献数据对比,发现该数值与文献数据吻合良好。此外,通过实验研究发现,当多孔材料直径与颗粒小球粒径比值增大时,即多孔材料边界效应减弱,实验获得多孔材料孔隙率越接近该数值,从而证明了该数值的正确性。
There are various arrangements in granular porous materials,i. e.,absolute stable state and quasistable state. The porosity model for randomly packed beds of spheres are proposed. It is considered that the overall porosities of granular porous materials are not affected by boundary. The probability of the presence of each configuration is assumed to be identical,a constant of bulk porosity 0. 377 is theoretically proposed. Good agreement is found between the proposed bulk porosity and available data adopted from literature. In addition,experimental investigation is also implemented. The effect of boundary becomes weaker as the increase of ratio between diameters of porous material and spheres. It is found that the experimental porosity approximates to theoretical porosity 0. 377 as the increase of ratio,and good validation is also achieved.
There are various arrangements in granular porous materials,i. e.,absolute stable state and quasistable state. The porosity model for randomly packed beds of spheres are proposed. It is considered that the overall porosities of granular porous materials are not affected by boundary. The probability of the presence of each configuration is assumed to be identical,a constant of bulk porosity 0. 377 is theoretically proposed. Good agreement is found between the proposed bulk porosity and available data adopted from literature. In addition,experimental investigation is also implemented. The effect of boundary becomes weaker as the increase of ratio between diameters of porous material and spheres. It is found that the experimental porosity approximates to theoretical porosity 0. 377 as the increase of ratio,and good validation is also achieved.
引文
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30任强,武秀兰.微米级多孔陶瓷的研究[J].中国陶瓷工业,2003,10(2):19-21Ren Qiang,Wu Xiulan.Development of micro porous ceramics[J].China Ceramic Industry,2003,10(2):19-21
31刘晓燕,郑春媛,张雪萍,等.两相颗粒多孔材料导热系数研究[J].工程热物理学报,2010,31(3):480-482Liu Xiaoyan,Zheng Chunyuan,Zhang Xueping,et al.Study on thermal conductivity of two-phase granular porous materal[J].Journal of Engineering Thermophysics,2010,31(3):480-482
32胡锦猛,漆虹,范益群,等.包覆型Al2O3粉体制备低温烧成多孔陶瓷膜支撑体[J].硅酸盐学报,2009,37(11):1818-1823Hu Jinmeng,Qi Hong,Fan Yiqun,et al.Porous ceramic support of coated alumina prepared by low-temperature sintering[J].Journal of the Chinese Ceramic Society,2009,37(11):1818-1823
2付承鹭,郑坤灿,王景甫,等.微距粒子图像测速法测量球床多孔介质单孔流场实验[J].科学技术与工程,2017,17(27):116-121Fu Chenglu,Zheng Kuncan,Wang Jingfu,et al.Experiment on flow field of a pore in the pebble bed by using macro particle image velociment technology[J].Science Technology and Engineering,2017,17(27):116-121
3程桦,林键,王彬,等.饱和砂层渗流冻结水热耦合模型与试验验证[J].科学技术与工程,2018,18(12):38-44Chen Hua,Lin Jian,Wang Bin,et al.Mathematical model and test verification of seepage freezing in saturated sand water[J].Science Technology and Engineering,2018,18(12):38-44
4伦文山,徐泽跃,朱军,等.高温烟气过滤SiC多孔陶瓷孔隙率及烧结工艺研究[J].中国陶瓷工业,2017,24(1):23-26Lun Wenshan,Xu Zeyue,Zhu Jun,et al.A study on the SiC porous ceramic’s factors of whose aperture and porosity in flue-gas filtration method[J].China Ceramic Industry,2017,24(1):23-26
5 Frevel L,Kressley L.Modifications in mercury porosimetry[J].Analytical Chemistry,1963,35(10):1492-1502
6 Mayer R P,Stowe R A.Mercury porosimetry-breakthrough pressure for penetration between packed spheres[J].Journal of Colloid Science,1965,20(8):893-911
7 Giesche H,Unger K,Esser U,et al.Packing technology,column bed structure and chromatographic performance of 1-2μm non-porous silicas in high-performance liquid chromatography[J].Journal of Chromatography A,1989,465(2):39-57
8 Mayer R P,Stowe R A.Packed uniform sphere model for solids:Interstitial access opening sizes and pressure deficiencies for wetting liquids with comparison to reported experimental results[J].Journal of Colloid and Interface Science,2006,294(1):139-150
9 Haughey D,Beveridge G.Structural properties of packed beds-Areview[J].The Canadian Journal of Chemical Engineering,1969,47(2):130-140
10 Dixon A G.Correlations for wall and particle shape effects on fixed bed bulk voidage[J].The Canadian Journal of Chemical Engineering,1988,66(5):705-708
11 Mueller G E.Prediction of radial porosity distributions in randomly packed fixed beds of uniformly sized spheres in cylindrical containers[J].Chemical Engineering Science,1991,46(2):706-708
12 Zou R P,Yu A B.The packing of spheres in a cylindrical container:the thickness effect[J].Chemical Engineering Science,1995,50(9):1504-1507
13 Christopher R H,Middleman S.Power-law flow through a packed tube[J].Industrial&Engineering Chemistry Fundamentals,1965,4(4):422-426
14 Kembowski Z,Mertl J.Pressure drop during the flow of Stokesian fluids through granular beds[J].Chemical Engineering Science,1974,29(1):213-223
15 Brea F M,Edwards M F,Wilkinson W L.The flow of non-Newtonian slurries through fixed and fluidised beds[J].Chemical Engineering Science,1976,31(5):329-336
16 Hanna M R,Kozicki W,Tiu C.Flow of drag-reducing fluids through packed beds[J].The Chemical Engineering Journal,1977,13(2):93-99
17 Fand R,Kim B,Lam A,et al.Resistance to the flow of fluids through simple and complex porous media whose matrices are composed of randomly packed spheres[J].ASME Journal of Fluids Engineering,1987,109(3):268-273
18 Sabiri N E,Comiti J.Pressure drop in non-newtonian purely viscous fluid flow through porous media[J].Chemical Engineering Science,1995,50(7):1193-1201
19 Yu J,Zhang M C,Fan W D,et al.Study on performance of the ball packed-bed regenerator:Experiments and simulation[J].Applied Thermal Engineering,2002,22(6):641-651
20 Wang Z,Ding Y,Ghadiri M.Flow of a gas-solid two-phase mixture through a packed bed[J].Chemical Engineering Science,2004,59(15):3071-3079
21 Arkar C,Medved S.Influence of accuracy of thermal property data of a phase change material on the result of a numerical model of a packed bed latent heat storage with spheres[J].Thermochimica Acta,2005,438(1):192-201
22 Nemec D,Levec J.Flow through packed bed reactors:1.singlephase flow[J].Chemical Engineering Science,2005,60(24):6947-6957
23 Jiang P X,Xu R N,Gong W.Particle-to-fluid heat transfer coefficients in miniporous media[J].Chemical Engineering Science,2006,61(22):7213-7222
24 Khalil A,Kassem M A,Salama M.Experimental evaluation of packed bed heat transfer relations[J].Journal of Engineering and Computer Sciences,2007,1(1):43-55
25 Li L X,Ma W M.Experimental study on the effective particle diameter of a packed bed with non-spherical particles[J].Transport in Porous Media,2012,89(1):35-48
26 Bennacer L,Ahfir N D,Bouanani A,et al.Suspended particles transport and deposition in saturated granular porous medium:Particle size effects[J].Transport in Porous Media,2013,100(3):377-392
27张惠源.多孔陶瓷透气分布板的研制和应用[J].北方轻工学报,1983,2(2):13-18Zhang Huiyuan.Study and application of ventilating dispersion plates of porous ceramics[J].Journal of North Light Industry,1983,2(2):13-18
28 She J H,Deng Z Y,Daniel-doni J,et al.Oxidation bonding of porous silicon carbide ceramics[J].Journal of the European Ceramic Society,2004,24(2):331-334
29马小娥,李国松,余峰.骨料颗粒与多孔材料显微结构关系的研究[J].中国陶瓷,2002,38(1):27-29Ma Xiaoe,Li Guosong,Yu Feng.Study on the relationship between backbone grain and microstructure of porous ceramics materials[J].China Ceramic,2002,38(1):27-29
30任强,武秀兰.微米级多孔陶瓷的研究[J].中国陶瓷工业,2003,10(2):19-21Ren Qiang,Wu Xiulan.Development of micro porous ceramics[J].China Ceramic Industry,2003,10(2):19-21
31刘晓燕,郑春媛,张雪萍,等.两相颗粒多孔材料导热系数研究[J].工程热物理学报,2010,31(3):480-482Liu Xiaoyan,Zheng Chunyuan,Zhang Xueping,et al.Study on thermal conductivity of two-phase granular porous materal[J].Journal of Engineering Thermophysics,2010,31(3):480-482
32胡锦猛,漆虹,范益群,等.包覆型Al2O3粉体制备低温烧成多孔陶瓷膜支撑体[J].硅酸盐学报,2009,37(11):1818-1823Hu Jinmeng,Qi Hong,Fan Yiqun,et al.Porous ceramic support of coated alumina prepared by low-temperature sintering[J].Journal of the Chinese Ceramic Society,2009,37(11):1818-1823