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A modified model considering the influence of porosity on thermal conductivity of iron sand cement mortar based on cubic three-phase model

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Abstract

To improve calculation accuracy of cubic three-phase (CTP) model and figure out the influence of porosity on thermal conductivity, a thermal conductivity modified model for iron sand cement mortar (ICM) was proposed. Under the different water-cement (W/C) ratio, river sand-iron ore sand (R/I) ratio and sand-cement (S/C) ratio conditions, the experimental thermal conductivities of cement paste and ICM were measured by the laser flash method, and their theoretical thermal conductivities were calculated by CTP model. Moreover, the first functional relationship between ICM’s porosity and its experimental values of thermal conductivity, and the second functional relationship between ICM’s porosity and its theoretical values were both established using regression analysis. Afterwards, the difference between the first functional relationship and the second functional relationship was defined as the modified function in different conditions. Finally, the thermal conductivity modified model considering the porosity was proposed based on CTP model and modified function. The thermal conductivity modified model was compared with other theoretical models, and the results show that the modified values have a good agreement with experimental values, and it can enhance the calculation accuracy greatly. In this paper, a modified method between the experimental value and the theoretical value was proposed, which provides a practical basis and theoretical method for optimizing experimental value.

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References

  1. Souza BA, Matos EM, Guirardello R (2006) Predicting coke formation due to thermal cracking inside tubes of petrochemical fired heaters using a fast CFD formulation. J Pet Sci Eng 51:138–148

    Article  Google Scholar 

  2. Cao X, Liu JJ, Cao XD (2015) Study of the thermal insulation properties of the glass fiber board used for interior building envelope. Energy Build 107:49–58

    Article  Google Scholar 

  3. Wu JM, Liu JG, Yang F (2015) Three-phase composite conductive concrete for pavement deicing. Constr Build Mater 75:129–135

    Article  Google Scholar 

  4. Foudazi A, Mehdipour I, Donnell KM, Khayat KH (2016) Evaluation of steel fiber distribution in cement-based mortars using active microwave thermography. Mater Struct 49:5051–5065

    Article  Google Scholar 

  5. Solgaard AOS, Geiker M, Edvardsen C, Kuter A (2014) Observations on the electrical resistivity of steel fibre reinforced concrete. Mater Struct 47(1–2):335–350

    Article  Google Scholar 

  6. Wei J, Zhang Q, Zhao LL, Hao L, Yang CL (2016) Enhanced thermoelectric properties of carbon fiber reinforced cement composites. Cera Int 42:11568–11573

    Article  Google Scholar 

  7. Liu K, Wang Z, Jin C (2015) An experimental study on thermal conductivity of iron ore sand cement mortar. Constr Build Mater 101:932–941

    Article  Google Scholar 

  8. Taoukil D, El Bouardi A, Sick F, Mimet A, Ezbakhe H, Ajzoul T (2013) Moisture content influence on the thermal conductivity and diffusivity of wood-concrete composite. Constr Build Mater 48:104–115

    Article  Google Scholar 

  9. Sariisik A, Sariisik G (2012) New production process for insulation blocks composed of EPS and lightweight concrete containing pumice aggregate. Mater Struct 45:1345–1357

    Article  Google Scholar 

  10. Sukontasukkul P, Intawong E, Preemanoch P, Chindaprasirt P (2016) Use of paraffin impregnated lightweight aggregates to improve thermal properties of concrete panels. Mater Struct 49:1793–1803

    Article  Google Scholar 

  11. Shin AHC, Kodide U (2012) Thermal conductivity of ternary mixtures for concrete pavements. Cement Concrete Comp 34(4):575–582

    Article  Google Scholar 

  12. Demirboga R, Gul R (2003) The effects of expanded perlite aggregate, silica fume and fly ash on the thermal conductivity of lightweight concrete. Cem Concrete Res 33:723–727

    Article  Google Scholar 

  13. Uysal H, Demirboga R, Sahin R, Gul R (2004) The effects of different cement dosages, slumps, and pumice aggregate ratios on the thermal conductivity and density of concrete. Cem Concrete Res 34:845–848

    Article  Google Scholar 

  14. Ramírez FMD, Muñoz FB, López EL, Polanco AV (2013) Thermal evaluation of structural concretes for construction of biodigesters. Energy Build 58(2):310–318

    Article  Google Scholar 

  15. Baghban MH, Hovde PJ, Jacobsen S (2013) Analytical and experimental study on thermal conductivity of hardened;cement pastes. Mater Struct 46(9):1537–1546

    Article  Google Scholar 

  16. Guo SC, Dai QL, Sun X, Sun Y, Liu Z (2017) Ultrasonic techniques for air void size distribution and property evaluation in both early-age and hardened concrete samples. Appl Sci. 7(3):290

    Article  Google Scholar 

  17. Guo SC, Ql Dai, Sun X, Sun Y (2016) Ultrasonic scattering measurement of air void size distribution in hardened concrete samples. Constr Build Mater 113:415–422

    Article  Google Scholar 

  18. Maxwell JC (1954) A treatise on electricity and magnetism, 3rd edn. Dover Publication, New York

    MATH  Google Scholar 

  19. Zhang WP, Min HG, Gu XL (2015) Mesoscale model for thermal conductivity of concrete. Constr Build Mater 98:8–16

    Article  Google Scholar 

  20. Harmathy TZ (1970) Thermal properties of concrete at elevated temperature. J Mater 5(1):47–74

    Google Scholar 

  21. Khan MI (2002) Factors affecting the thermal properties of concrete and applicability of its prediction models. Build Environ 37(6):607–614

    Article  Google Scholar 

  22. Meshgin P, Xi YP (2013) Multi-scale composite models for the effective thermal conductivity of PCM-concrete. Constr Build Mater 48:371–378

    Article  Google Scholar 

  23. Lee JK (2007) Prediction of thermal conductivity of composites with spherical fillers by successive embedding. Arch Appl Mech 77(7):453–460

    Article  Google Scholar 

  24. Akiyoshi MM, Christoforo AL, Luz AP, Pandolfelli VC (2017) Thermal conductivity modelling based on physical and chemical properties of refractories. Cera Int 43:4731–4745

    Article  Google Scholar 

  25. Choktaweekarn P, Saengsoy W, Tangtermsirikul S (2009) A model for predicting thermal conductivity of concrete. Mag Concr Res 61(4):271–280

    Article  Google Scholar 

  26. Farnaz B, Bindiganavile V (2017) Air-void size distribution of cement based foam and its effect on thermal conductivity. J Constr Build Mater 149:17–28

    Article  Google Scholar 

  27. Tang SW, Chen E, Shao HY, Li ZJ (2015) A fractal approach to determine thermal conductivity in cement pastes. J Constr Build Mater 74:73–82

    Article  Google Scholar 

  28. Liu K, Lu L, Wang F, Liang W (2017) Theoretical and experimental study on multi-phase model of thermal conductivity for fiber reinforced concrete. Constr Build Mater 148:465–475

    Article  Google Scholar 

  29. You L, You Z, Dai Q, Guo S, Wang J, Schultz M (2018) Characteristics of water-foamed asphalt mixture under multiple freeze-thaw cycles: laboratory evaluation. J Mater Civil Eng 30(11):04018270

    Article  Google Scholar 

  30. Aguayo M, Das S, Castro C, Kabay N, Sant G, Neithalath N (2017) Porous inclusions as hosts for phase change materials in cementitious composites: characterization, thermal performance, and analytical models. Constr Build Mater 134:574–584

    Article  Google Scholar 

  31. Wu M, Fridh K, Johannesson B, Geiker M (2018) Impact of sample crushing on porosity characterization of hardened cement pastes by low temperature calorimetry: comparison of powder and cylinder samples. Thermochim Acta 665:11–19

    Article  Google Scholar 

  32. Zauer M, Hempel S, Pfriem A, Mechtcherine V, Wagenführ A (2014) Investigations of the pore-size distribution of wood in the dry and wet state by means of mercury intrusion porosimetry. Wood Sci Technol 48(6):1229–1240

    Article  Google Scholar 

  33. Gui Q, Qin M, Li K (2016) Gas permeability and electrical conductivity of structural concretes: impact of pore structure and pore saturation. Cem Concrete Res 89:109–119

    Article  Google Scholar 

  34. Bu J, Tian Z, Zheng S, Tang Z (2017) Effect of sand content on strength and pore structure of cement mortar. J Wuhan Univ Technol 32(2):382–390

    Article  Google Scholar 

  35. Cobîrzan N, Balog AA, Belean B, Borodi G, Dadarlat D, Streza M (2016) Thermophysical properties of masonry units: accurate characterization by means of photothermal techniques and relationship to porosity and mineral composition. Constr Build Mater 105:297–306

    Article  Google Scholar 

  36. Li SX, Jones B, Thorpe R, Davis M (2016) An investigation into the thermal conductivity of hydrating sprayed concrete. Constr Build Mater 124:363–372

    Article  Google Scholar 

  37. Wang L, Dong Y, Zhou SH, Chen E, Tang SW (2018) Energy saving benefit, mechanical performance, volume stabilities, hydration properties and products of low heat cement-based materials. Energy Build 170:157–169

    Article  Google Scholar 

  38. Yu P, Duan YH, Chen E, Tang SW, Wang XR (2018) Microstructure-based fractal models for heat and mass transport properties of cement paste. Int J Heat Mass Tran 126:432–447

    Article  Google Scholar 

  39. Zhu LH, Dai J, Bai GL (2015) Experimental study on thermal conductivity of recycled concrete. J Build Mater 18(5):852–856

    Google Scholar 

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Acknowledgments

The authors are very thankful to the National Natural Science Foundation of China (Grant Nos. 51108150, 51408005 and 51508147). Authors would like to thank the reviewers and editor for their valuable suggestions and comments to improve the quality of the paper. The authors gratefully appreciate Dr. Shuqin Li for her help and concern in the response of the paper.

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Correspondence to Kai Liu.

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Liu, K., Li, Y., Lu, L. et al. A modified model considering the influence of porosity on thermal conductivity of iron sand cement mortar based on cubic three-phase model. Mater Struct 51, 163 (2018). https://doi.org/10.1617/s11527-018-1294-9

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