## THERMAL SCIENCE

International Scientific Journal

### NUMERICAL SIMULATIONS OF EFFECTIVE THERMAL CONDUCTIVITY IN ALUMINUM FOAM SANDWICH PANEL

**ABSTRACT**

In this work, the effective thermal conductivities of aluminum foam sandwich panels with the porosity range from 40% to 60% were studied by simulation method. The influence of porosity and pore size on the effective thermal conductivities was analyzed, and their influence mechanism was studied. In addition, simulation results were verified by theoretical formula. This further proves the feasibility of simulation method for research on the effective thermal conductivity of aluminum foam sandwich panels. The results confirmed that the porosity and pore size of aluminum foam sandwich panel had great impact upon its effective thermal conductivity.

**KEYWORDS**

PAPER SUBMITTED: 2017-04-02

PAPER REVISED: 2017-06-17

PAPER ACCEPTED: 2017-06-19

PUBLISHED ONLINE: 2017-07-08

**THERMAL SCIENCE** YEAR

**2018**, VOLUME

**22**, ISSUE

**Issue 6**, PAGES [2827 - 2834]

- Li, Z. B., et al., Local indentation of aluminum foam core sandwich beams at elevated temperatures, Composite Structures, 145 (2016), pp. 142-148.
- Elnasri, I., Zhao, H., Impact perforation of sandwich panels with aluminum foam core: A numerical and analytical study, International Journal of Impact Engineering, 96 (2016), pp. 50-60.
- Fiedler, T., et al.,Numerical analyses of the thermal conductivity of random hollow sphere structures, Materials Letters, 63 (2009), 13-14, pp. 1125-1127.
- Banhart, J., Manufacture, Characterisation and application of cellular metals and metal foams, Progress in Materials Science, 46 (2001), 6, pp. 559-632.
- Lu, W., et al., Thermal analysis on metal-foam filled heat exchangers Part I: Metal-foam filled pipes, International Journal of Heat and Mass Transfer, 49 (2006), 15-16, pp. 2751-2761.
- Boomsma, K., et al., Metal foams as compact high performance heat exchangers, Mechanics of Materials, 35 (2003), 12, pp.1161-1176.
- Feng, Y. et al., Thermal conductivity of closed-cell aluminum alloy foam, Acta Metallurgica Sinica, 39 (2003), 8, pp. 817-820.
- Wulf, R., et al., Experimental and numerical determination of effective thermal conductivity of open cell FeCrAl-alloy metal foams, International Journal of Thermal Sciences, 86 (2014), pp. 95-103.
- Solórzano, E., et al., An experimental study on the thermal conductivity of aluminium foams by using the transient plane source method, International Journal of Heat and Mass Transfer, 51 (2008), 25-26, pp. 6259-6267.
- Fiedler, T., et al., Theoretical and Lattice Monte Carlo analyses on thermal conduction in cellular metals, Computational Materials Science, 50 (2010), 2, pp. 503-509.
- Ma, M. Y., Ye, H., An image analysis method to obtain the effective thermal conductivity of metallic foams via a redefined concept of shape factor, Applied Thermal Engineering., 73 (2014), 1, pp. 1279-1284.
- Ye, H., M. et al., An experimental study on mid-high temperature effective thermal conductivity of the closed-cell aluminum foam, Applied Thermal Engineering, 77 (2015), pp.127-133.
- Hardenacke, V., Hohe, J., Local probabilistic homogenization of two-dimensional model foams accounting for micro structural disorder, International Journal of Solids and Structures., 46 (2009), 5, pp. 989-1006.
- Qiu, S. W., et al., Simulation of Apparent Elastic Property in the Two-Dimensional Model of Aluminum Foam Sandwich Panel, Materials Transactions, 56 (2015), 5, pp.687-690.
- Li, Z. Q., et al., Thermal-mechanical behavior of sandwich panels with closed-cell foam core under intensive laser irradiation, Thermal Science, 18 (2014), 5, pp. 1607-1611.
- Zhao, C. Y., et al., The temperature dependence of effective thermal conductivity of open-celled steel alloy foams, Materials Science and Engineering A- Structural Materials Prooerties Microstructure And Processing, 367 (2004), 1-2, pp. 123-131.
- Kulesa, A. T., Robinson, M. J., Analytical study of structural thermal insulating syntactic foams, Composite Structures, 119 (2015), pp.551-558.
- Ranut, P., On the effective thermal conductivity of aluminum metal foams: Review and improvement of the available empirical and analytical models, Applied Thermal Engineering, 101 (2016), pp. 496-524.
- Zhu, X. L., et al., Thermal conductivity of closed-cell aluminum foam based on the 3D geometrical reconstruction, International Journal of Heat and Mass Transfer, 72 (2014), pp. 242-249.
- Ye, H., et al., A Lattice Monte Carlo analysis of the effective thermal conductivity of closed-cell aluminum foams and an experimental verification, International Journal of Heat and Mass Transfer, 86 (2015), pp. 853-860.
- Liu, Z. Y., Wu, H. Y., Pore-scale study on flow and heat transfer in 3D reconstructed porous media using micro-tomography images, Applied Thermal Engineering, 100 (2016), pp. 602-610.
- Xia, D. H., et al., Study of the reconstruction of fractal structure of closed-cell aluminum foam and its thermal conductivity, Thermal Science, 21 (2012), 1, pp. 77-81.
- Sadeghi1, E., et al., Thermal conductivity and contact resistance of metal foams, Journal of Physics D-Applied Physics, 44 (2011), 12, DOI No. 10.1088/0022-3727/44/12/125406
- Ghosh, I., Heat-Transfer Analysis of High Porosity Open-Cell Metal Foam, Journal of Heat Transfer - Transactions of the ASME, 130 (2008), 3, DOI No. 10.1115/1.2804941
- Lu, T. J., Chen, C., Thermal transport and fire retardance properties of cellular aluminium alloys, Acta Materialia, 47 (1999), 5, pp. 1469-1485.
- Zhang, B. Q., Liu, X. F., Effects of fractal trajectory on gas diffusion in porous media, AIChE Journal, 44 (2003), 12, pp. 3037-3047.
- Lanfrey, P. Y., et al., Tortuosity model for fixed beds randomly packed with identical particles, Chemical Engineering Science, 65 (2010), 5, pp. 1891-1896.
- Yang, X. H., et al., A simplistic model for the tortuosity in two-phase close-celled porous media, Journal of Physics D-Applied Physics, 46 (2013), 12, DOI No. 10.1088/0022-3727/46/12/125305
- Paek, J. W., et al., Effective Thermal Conductivity and Permeability of Aluminum Foam Materials, International Journal of Thermophysics, 21 (2000), 2, pp. 453-464.
- Traxl, R., et al., Thin-Shell Model for Effective Thermal and Electrical Conductivity of Highly Porous Closed-Cell Metal Foams, Transport in Porous Media, 113 (2016), 3, pp. 629-638.
- Sundarram, S. S., Li, W., The effect of pore size and porosity on thermal management performance of phase change material infiltrated microcellular metal foams, Applied Thermal Engineering, 64 (2014), 1-2, pp. 147-154.