EI、Scopus 收录

Yang Xiaohu, Bai Jiaxi, Lu Tianjian. A SIMPLISTIC ANALYTICAL MODEL OF PERMEABILITY FOR OPEN-CELL METALLIC FOAMS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(6): 982-986. doi: 10.6052/0459-1879-14-115
 Citation: Yang Xiaohu, Bai Jiaxi, Lu Tianjian. A SIMPLISTIC ANALYTICAL MODEL OF PERMEABILITY FOR OPEN-CELL METALLIC FOAMS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(6): 982-986.

# A SIMPLISTIC ANALYTICAL MODEL OF PERMEABILITY FOR OPEN-CELL METALLIC FOAMS

##### doi: 10.6052/0459-1879-14-115
Funds:  The project was supported by the National Basic Research Program of China (2011CB610305) and the National 111 Project of China (B06024).
• Rev Recd Date: 2014-09-15
• Publish Date: 2014-11-18
• 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.

•  郁伯铭. 分形介质的传热与传质分析. 工程热物理学报,2003, 24(3):481-483 (Yu Boming. Analysis of heat and mass transfer in fractal media. Journal of Engineering Thermophysics, 2003, 24(3):481-483 (in Chinese)) 蔡建超,郁伯铭. 多孔介质自发渗吸研究进展. 力学进展,2012,42(6):735-754 (Cai Jianchao, Yu Boming. Advances in studies of spontaneous imbibition in porous media. Advance in Mechanics, 2012,42(6):735-754 (in Chinese)) Hunt M, Tien C. Effects of thermal dispersion on forced convection in fibrous media. International Journal of Heat and Mass Transfer, 1988, 31(2): 301-309 Yang XH, Lu TJ, Kim T. A simplistic analytical unit cell based model for the effective thermal conductivity of high porosity open-cell metal foams. Journal of Physics D: Applied Physics, 2013, 46(25): 255302-6 Darcy HPG. Détermination des lois d'écoulement de l'eau á travers le sable. Paris, France: Victor Dalmont Inc., 1856, 590-594 (in French) Forchheimer P. Wasserbewegung durch boden. Netherlands: Deutsch Ing, 1901, 1782-1788 (in German) Loya V. The effect of microstructure on the permeability of metal foams [Master Thesis]. Montreal Quebec, Canada: Department of Mechanical and Industrial Engineering, University of Concordia, 2005, 47-59 Kamath M, Balaji C, Venkateshan S. Convection heat transfer from aluminium and copper foams in a vertical channel-An experimental study. International Journal of Thermal Sciences, 2013, 64: 1-10 Wade AD. Natural convection in water-saturated metal foam with a superposed fluid layer. [MPhil Thesis]. Minneapolis, US: Department of Mechanical Engineering, University of Minnesota, 2010, 51-53 Garrido GI, Patcas F, Lang S, et al. Mass transfer and pressure drop in ceramic foams: a description for different pore sizes and porosities. Chemical Engineering Science, 2008, 63(21): 5202-5217 Wu Z, Caliot C, Bai F, et al. Experimental and numerical studies of the pressure drop in ceramic foams for volumetric solar receiver applications. Applied Energy, 2010, 87(2): 504-513 Happel J. Viscous flow relative to arrays of cylinders. AIChE Journal, 1959, 5(2): 174-177 Kuwabara S. The forces experienced by randomly distributed parallel circular cylinders or spheres in a viscous flow at small Reynolds numbers. Journal of the Physical Society of Japan, 1959, 14(4): 527-532 Du Plessis JP, Montillet A, Comiti J, et al. Pressure drop prediction for flow through high porosity metallic foams. Chemical Engineering Science, 1994, 49(21): 3545-3553 Bhattacharya A, Calmidi VV, Mahajan R. Thermophysical properties of high porosity metal foams. International Journal of Heat and Mass Transfer, 2002, 45(5): 1017-1031 Shen L, Chen Z. Critical review of the impact of tortuosity on diffusion. Chemical Engineering Science, 2007, 62(14): 3748-3755 Beeckman J. Mathematical description of heterogeneous materials. Chemical Engineering Science, 1990, 45(8): 2603-2610 Weaire DL, Hutzler S. The Physics of Foams. Oxford, UK: Oxford University Press, 2001 Lu TJ, Stone HA, Ashby MF. Heat transfer in open-cell metal foams. Acta Materialia, 1998, 46(10): 3619-3635 Yang XH, Lu TJ, Kim T. A simplistic model for the tortuosity in two-phase close-celled porous media. Journal of Physics D: Applied Physics, 2013, 46(12): 125305 Hoang MT, Perrot C. Identifying local characteristic lengths governing sound wave properties in solid foams. Journal of Applied Physics, 2013, 113(8): 084905

### Catalog

###### 通讯作者: 陈斌, bchen63@163.com
• 1.

沈阳化工大学材料科学与工程学院 沈阳 110142