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Unveiling empirical correlation between electrical and thermal conductivities of medium porosity open-cell porous aluminium fabricated by replication casting method

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Abstract

In this work, the electrical and thermal conductivities of open-cell porous aluminium materials produced by replication casting method are investigated and the correlations between them studied. The four-point probe method was used to measure the electrical conductivity of the samples, while the C-therm analyser was used to experimentally determine the thermal conductivity of the cellular materials. The results show that both electrical and thermal conductivities of the porous samples increase as their relative density is increased. Comparison of the measured data with theoretical models shows that the scaling function with a dynamic exponent equal to 1.55 fits the experimental data for electrical conductivity. In addition, an empirical relationship was found to exist between measured electrical and thermal conductivities, while a modified Wiedemann-Franz law was also deduced to correlate the electrical and thermal conductivities of the porous aluminium materials.

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References

  1. Sriharsha SS, Wei L (2014) The effect of pore size and porosity on thermal management performance of phase change material infiltrated microcellular metal foams. Appl Therm Eng 64:147–154

    Article  Google Scholar 

  2. Hoshi A, Mills DR, Bittar A, Saitoh TS (2005) Screening of high melting point phase change materials (PCM) in solar thermal concentrating technology based on CLFR. Sol Energy 79(3):332–339

    Article  Google Scholar 

  3. Shama A, Tyagi VV, Chen CR, Buddhi D (2009) Review on thermal energy storage with phase change materials and applications. Renew Sust Energ Rev 13(2):318–345

    Article  Google Scholar 

  4. Tyagi VV, Buddhi D (2007) PCM Thermal storage in buildings: a state of the art. Renew Sust Energ Rev 11(6):1146–1166

    Article  Google Scholar 

  5. Ahn S, Kim Y, Kim KJ, Kim TH, Lee H, Kim M (1991) H, Development of high capacity, high rate lithium ion batteries utilizing metal fiber conductive additive. J Power Sources 81:896–901

    Google Scholar 

  6. Jiang T, Zhang SC, Qiu XP, Zhu WT, Chen IQ (2007) Preparation and characterization of tin-based three-dimensional cellular anode for lithium ion battery. J Power Sources 166:503–508

    Article  Google Scholar 

  7. Liu PS, Li TF, Fu C (1999) Relationship between electrical resistivity and porosity for porous metals. Mater Sci Eng A 268:208–215

    Article  Google Scholar 

  8. Zaragoza G, Goodall R (2013) Metal foam with graded pore size for heat transfer applications. Adv Eng Mater:123–128. https://doi.org/10.1002/adem/201200166

  9. Maiorano LP, Molina J (2018) M, Challenging thermal management by incorporation of graphite into aluminium foams. Mater Des 158:160–171

    Article  Google Scholar 

  10. Maiorano LP, Molina JM (2020) Guiding heat in active thermal management: one pot incorporation of interfacial nano-engineered aluminium/diamond composites into aluminium foams, Composites Part A. Appl Sci Manuf 133. https://doi.org/10.1016/j.compositesa.2020.105859

  11. Durmus FC, Maiorano LP, Molina JM (2022) Open-cell aluminium foam with bimodal pore distributions for emerging thermal management applications. Int J Heat Mass Transf 191. https://doi.org/10.1016/j.ijheatmasstransfer.2022.122852

  12. Abuserwal AF, Elizondu Luna EM, Goodall R (2017) The effective thermal conductivity of open cell replicated aluminium metal sponges. Int J Heat Mass Transf 108:1439–1448

    Article  Google Scholar 

  13. Yang X (2013) A simplified analytical unit cell based model for the effective thermal conductivity of high porosity open-cell metal foams. J Appl Phys 46:26

    Google Scholar 

  14. Mendes MA, Ray S, Trimis D (2014) An improved model for the effective thermal conductivity of open-cell porous aluminium. Int J Heat Mass Transf 75:224–230

    Article  Google Scholar 

  15. Bhattacharya A, Calmidi VV, Mahajan RN (2002) Thermo physical properties of high porosity foams. Int J Heat Mass Transf 45:1017–1031

    Article  Google Scholar 

  16. Cuevas FG, Montes JM, Cintas J, Urban P (2009) Electrical conductivity and porosity relationship in metal foams. J Porous Mater 16:675–681

    Article  Google Scholar 

  17. Feng Y, Zheng H, Zhu Z, Zu F (2002) The microstructure and electrical conductivity of aluminium alloy foams. Mater Chem Phys 78:196–201

    Article  Google Scholar 

  18. Goodall R, Weber L (2006) Mortensen, A, The electrical conductivity of microcellular metals. J Appl Phys 100:126–137

    Article  Google Scholar 

  19. Hucheng P, Fusheng P, Xiao W, Aitao T (2013) Correlation on the electrical and thermal conductivity for binary Mg-Al and Mg-Zn alloys. Int J Thermophys 34:1336–1346

    Article  Google Scholar 

  20. Aksoz S, Ocak Y, Marasli N, Cadirli E, Kaya H, Boyuk U (2010) Dependency of the thermal and electrical conductivity on the temperature and composition of Cu in the Al based Al-Cu alloys. Exp Thermal Fluid Sci 34:1507–1516

    Article  Google Scholar 

  21. Jinnapat A (2011) The manufacture and characterisation of aluminium foams made by investment casting using dissolvable sodium chloride beads preforms. PhD Thesis,. University of Nottingham, Nottingham, UK

    Book  Google Scholar 

  22. Dharmasena KP, Wadley HNG (2002) Electrical conductivity of open-cell metal foams. J Mater Res 17(3):625–631

    Article  Google Scholar 

  23. Zhou W, Tang Y, Song R, Jiang L, Hui KS, Hui KN (2012) Characterization of electrical conductivity of porous metal fiber sintered sheet using four-point probe method. Mater Des 37:161–167

    Article  Google Scholar 

  24. Bai M, Chung JN (2011) Analytical and numerical prediction of heat transfer and pressure drop in open-cell metal foams. Int J Therm Sci 50:869–880

    Article  Google Scholar 

  25. Accessed online from www.efunda.com/materials/elements/TC_Table.cfm?Element_ID=Al on April 30, 2015.

  26. Lemlich R (1978) A Theory for the limiting conductivity of polyhedral foam at low density. J Colloid Interface Sci 64:107–110

    Article  Google Scholar 

  27. Liu PS, Liang KM (2000) Evaluating electrical resistivity for high porosity metals. Mater Sci Technol 16:341

    Article  Google Scholar 

  28. Langlois S, Couret F (1989) Flow-through and flow-by porous electrodes of nickel foam. J Appl Electrochem 47:1489–1491

    Google Scholar 

  29. Ashby MF, Evans A, Fleck NA, Gibson LJ, Hutchinson JW, Wadley HN (2000) Metal foam- a design guide. Butterworth Heinmann

    Google Scholar 

  30. Huang XL, Wu GH, Zhang Q, Kang PC, Leng JF (2009) Electrical conductivity of open-cell Fe-Ni alloy foam. J Alloys Compd 479:898–901

    Article  Google Scholar 

  31. Liu PS, Li TF, Fu C (1999) Relationship between electrical resistivity and porosity. Mater Sci Eng 268:208–215

    Article  Google Scholar 

  32. Kittle C (2005) Introduction to solid state physics. John Wiley and Sons

    Google Scholar 

  33. Wan T, Liang G, Wang Z et al (2022) Fabrication and compressive behavior of open-cell aluminum foams via infiltration casting using spherical CaCl2 space-holders. China Foundry 19:89–98. https://doi.org/10.1007/s41230-022-1159-2

    Article  Google Scholar 

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Funding

The Tertiary Education Trust Fund (TETFUND), Nigeria, provided funds for this research work.

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All contributed 100% to the study’s development, from experimentation to analysis.

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Correspondence to Aigbodion Victor Sunday.

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Egwuonwu, N.R., Boniface, O.O. & Sunday, A.V. Unveiling empirical correlation between electrical and thermal conductivities of medium porosity open-cell porous aluminium fabricated by replication casting method. Int J Adv Manuf Technol 131, 3499–3507 (2024). https://doi.org/10.1007/s00170-024-13230-6

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