Materials and Structures

, 50:96 | Cite as

Numerical simulation of the freeze–thaw behavior of mortar containing deicing salt solution

  • Hadi S. Esmaeeli
  • Yaghoob Farnam
  • Dale P. Bentz
  • Pablo D. Zavattieri
  • W. Jason Weiss
Original Article

Abstract

This paper presents a one-dimensional finite difference model that is developed to describe the freeze–thaw behavior of an air-entrained mortar containing deicing salt solution. A phenomenological model is used to predict the temperature and the heat flow for mortar specimens during cooling and heating. Phase transformations associated with the freezing/melting of water/ice or transition of the eutectic solution from liquid to solid are included in this phenomenological model. The lever rule is used to calculate the quantity of solution that undergoes the phase transformation, thereby simulating the energy released/absorbed during phase transformation. Undercooling and pore size effects are considered in the numerical model. To investigate the effect of pore size distribution, this distribution is considered using the Gibbs–Thomson equation in a saturated mortar specimen. For an air-entrained mortar, the impact of considering pore size (and curvature) on freezing was relatively insignificant; however the impact of pore size is much more significant during melting. The fluid inside pores smaller than 5 nm (i.e., gel pores) has a relatively small contribution in the macroscopic freeze–thaw behavior of mortar specimens within the temperature range used in this study (i.e., +24 to −35  °C), and can therefore be neglected for the macroscopic freeze–thaw simulations. A heat sink term is utilized to simulate the heat dissipation during phase transformations. Data from experiments performed using a low-temperature longitudinal guarded comparative calorimeter on mortar specimens fully saturated with various concentration NaCl solutions or partially saturated with water is compared to the numerical results and a promising agreement is generally obtained.

Keywords

Degree of saturation Deicing salt Finite difference method Freeze and thaw Cementitious Pore size distribution Undercooling 

References

  1. 1.
    Powers TC, Willis TF (1950) The air requirement of frost resistant concrete. Highw Res Board 29:184–211Google Scholar
  2. 2.
    Powers TC (1945) A working hypothesis for further studies of frost resistance of concrete. Am Concr Cem Portland Cem Assoc 41:245–272Google Scholar
  3. 3.
    Powers TC (1958) The physical structure and engineering properties of concrete. J PCA Res Dev Lab 90:1–28Google Scholar
  4. 4.
    Litvan G (1976) Frost action in cement in the presence of de-icers. Cem Concr Res 6:351–356CrossRefGoogle Scholar
  5. 5.
    Scherer G (1999) Crystallization in pores. Cem Concr Res 29:1347–1358CrossRefGoogle Scholar
  6. 6.
    Kaufmann J (2000) Experimental identification of damage mechanisms in cementitious porous materials on phase transition of pore solution under frost deicing salt attack. Ph.D. Thesis, Ecole Polytechnique Fe´de´rale de Lausanne, SwitzerlandGoogle Scholar
  7. 7.
    Mehta PK, Monteiro PJ (2006) Concrete: microstructure, properties, and materials. McGraw-Hill, New YorkGoogle Scholar
  8. 8.
    Spragg RP, Castro J, Li W et al (2011) Wetting and drying of concrete using aqueous solutions containing deicing salts. Cem Concr Compos 33:535–542CrossRefGoogle Scholar
  9. 9.
    Farnam Y, Bentz D, Sakulich A et al (2014) Measuring freeze and thaw damage in mortars containing deicing salt using a low-temperature longitudinal guarded comparative calorimeter and acoustic emission. Adv Civ Eng Mater 3:20130095CrossRefGoogle Scholar
  10. 10.
    Villani C, Farnam Y, Washington T, et al (2015) Performance of conventional portland cement and calcium silicate based carbonated cementitious systems during freezing and thawing in the presence of calcium chloride deicing salts. Transp Res Board 2508:48–54CrossRefGoogle Scholar
  11. 11.
    Farnam Y, Bentz D, Hampton A, Weiss W (2014) Acoustic emission and low-temperature calorimetry study of freeze and thaw behavior in cementitious materials exposed to sodium chloride salt. Transp Res Rec J Transp Res Board 2441:81–90CrossRefGoogle Scholar
  12. 12.
    Farnam Y, Todak H, Spragg R, Weiss J (2015) Electrical response of mortar with different degrees of saturation and deicing salt solutions during freezing and thawing. Cem Concr Compos 59:49–59CrossRefGoogle Scholar
  13. 13.
    Farnam Y, Wiese A, Bentz D et al (2015) Damage development in cementitious materials exposed to magnesium chloride deicing salt. Constr Build Mater 93:384–392CrossRefGoogle Scholar
  14. 14.
    Han B, Choi JH, Dantzig JA, Bischof JC (2006) A quantitative analysis on latent heat of an aqueous binary mixture. Cryobiology 52:146–151CrossRefGoogle Scholar
  15. 15.
    Radjy F (1968) A thermodynamic study of the system hardened cement paste and water and its dynamic mechanical response as a function of temperature.  Ph.D. Thesis, Department of Civil Engineering, Stanford UniversityGoogle Scholar
  16. 16.
    Young JF (1988) A review of the pore structure of cement paste and concrete and its influence on permeability. Spec Publ 108:1–18Google Scholar
  17. 17.
    Whiting DA, Nagi MA (1998) Manual on control of air content in concrete. Portland Cement Association, Skokie, IIIGoogle Scholar
  18. 18.
    Kumar R, Bhattacharjee B (2003) Porosity, pore size distribution and in situ strength of concrete. Cem Concr Res 33:155–164CrossRefGoogle Scholar
  19. 19.
    Castro J, Bentz D, Weiss J (2011) Effect of sample conditioning on the water absorption of concrete. Cem Concr Compos 33:805–813CrossRefGoogle Scholar
  20. 20.
    Sun Z, Scherer GW (2010) Effect of air voids on salt scaling and internal freezing. Cem Concr Res 40:260–270CrossRefGoogle Scholar
  21. 21.
    Li W, Pour-Ghaz M, Castro J, Weiss J (2012) Water absorption and critical degree of saturation relating to freeze–thaw damage in concrete pavement joints. J Mater Civ Eng 24:299–307CrossRefGoogle Scholar
  22. 22.
    Cai H, Liu X (1998) Freeze–thaw durability of concrete: ice formation process in pores. Cem Concr Res 28:1281–1287CrossRefGoogle Scholar
  23. 23.
    Li W, Sun W, Jiang J (2011) Damage of concrete experiencing flexural fatigue load and closed freeze/thaw cycles simultaneously. Constr Build Mater 25:2604–2610CrossRefGoogle Scholar
  24. 24.
    Sun Z, Scherer GW (2010) Pore size and shape in mortar by thermoporometry. Cem Concr Res 40:740–751CrossRefGoogle Scholar
  25. 25.
    Andersson K, Allard B, Bengtsson M, Magnusson B (1989) Chemical composition of cement pore solutions. Cem Concr Res 19:327–332CrossRefGoogle Scholar
  26. 26.
    Pigeon M, Pleau R (2010) Durability of concrete in cold climates. CRC Press, Boca RatonGoogle Scholar
  27. 27.
    Beddoe R, Setzer M (1988) A low-temperature DSC investigation of hardened cement paste subjected to chloride action. Cem Concr Res 18:249–256CrossRefGoogle Scholar
  28. 28.
    Askeland DR, Pradeep PP (2003) The science and engineering of materials. Cengage Learning, StamfordGoogle Scholar
  29. 29.
    Debenedetti P (2003) Supercooled and glassy water. J Phys 15(45):1669Google Scholar
  30. 30.
    Wilding CR (1992) The performance of cement based systems. Cem Concr Res 22:299–310CrossRefGoogle Scholar
  31. 31.
    Qian Y, Farnam Y, Weiss J (2014) Using acoustic emission to quantify freeze–thaw damage of mortar saturated with NaCl solutions. In: Proceedings 4th international conference on the durability of concrete structures, pp 32–37Google Scholar
  32. 32.
    Sun Z, Scherer GW (2010) Measurement and simulation of dendritic growth of ice in cement paste. Cem Concr Res 40:1393–1402CrossRefGoogle Scholar
  33. 33.
    Thomas LC (1993) Heat transfer. Prentice HallGoogle Scholar
  34. 34.
    Velraj R, Seeniraj RV, Hafner B et al (1999) Heat transfer enhancement in a latent heat storage system. Sol Energy 65:171–180CrossRefGoogle Scholar
  35. 35.
    Lecomte D, Mayer D (1985) Design method for sizing a latent heat store/heat exchanger in a thermal system. Appl Energy 21:55–78CrossRefGoogle Scholar
  36. 36.
    Costa M, Buddhi D, Oliva A (1998) Numerical simulation of a latent heat thermal energy storage system with enhanced heat conduction. Energy Convers Manag 39:319–330CrossRefGoogle Scholar
  37. 37.
    Bentz D (2000) A computer model to predict the surface temperature and time-of-wetness of concrete pavements and bridge decks. US Department of Commerce, Technology Administration, National Institute of Standards and Technology, GaithersburgGoogle Scholar
  38. 38.
    Bentz DP, Turpin R (2007) Potential applications of phase change materials in concrete technology. Cem Concr Compos 29:527–532CrossRefGoogle Scholar
  39. 39.
    Zivkovic B, Fujii I (2001) An analysis of isothermal phase change of phase change material within rectangular and cylindrical containers. Sol Energy 70:51–61CrossRefGoogle Scholar
  40. 40.
    Ismail KAR, Abugderah MM (2000) Performance of a thermal storage system of the vertical tube type. Energy Convers Manag 41:1165–1190CrossRefGoogle Scholar
  41. 41.
    Hamada Y, Ohtsu W, Fukai J (2003) Thermal response in thermal energy storage material around heat transfer tubes: effect of additives on heat transfer rates. Sol Energy 75:317–328CrossRefGoogle Scholar
  42. 42.
    Voller VR, Swaminathan CR (1993) Treatment of discontinuous thermal conductivity in control-volume solutions of phase-change problems. Numer Heat Transf Part B Fundam 24:161–180CrossRefGoogle Scholar
  43. 43.
    Ismail KAR, Da Maria das Gracas E (2003) Numerical solution of the phase change problem around a horizontal cylinder in the presence of natural convection in the melt region. Int J Heat Mass Transf 46:1791–1799CrossRefMATHGoogle Scholar
  44. 44.
    Fukai J, Hamada Y, Morozumi Y, Miyatake O (2003) Improvement of thermal characteristics of latent heat thermal energy storage units using carbon-fiber brushes: experiments and modeling. Int J Heat Mass Transf 46:4513–4525CrossRefGoogle Scholar
  45. 45.
    Gong Z-X, Mujumdar AS (1997) Finite-element analysis of cyclic heat transfer in a shell-and-tube latent heat energy storage exchanger. Appl Therm Eng 17:583–591CrossRefGoogle Scholar
  46. 46.
    Rubinsky B, Cravahlo EG (1981) A finite element method for the solution of one-dimensional phase change problems. Int J Heat Mass Transf 24:1987–1989CrossRefMATHGoogle Scholar
  47. 47.
    Yoo J, Rubinsky B (2007) Numercial computation using finite elements for the moving interface in heat transfer problems with phase transformation. Numer Heat Transf 6:209–222MATHGoogle Scholar
  48. 48.
    Shamsundar N, Sparrow EM (1975) Analysis of multidimensional conduction phase change via the enthalpy model. J Heat Transf 97:333CrossRefGoogle Scholar
  49. 49.
    Hibbert SE, Markatos NC, Voller VR (1988) Computer simulation of moving-interface, convective, phase-change processes. Int J Heat Mass Transf 31:1785–1795CrossRefMATHGoogle Scholar
  50. 50.
    Smith WF, Hashemi J (2006) Foundations of materials science and engineering, 4th edn. McGraw-Hill, New YorkGoogle Scholar
  51. 51.
    Callister WD, Rethwisch D (2009) Materials science and engineering: an introduction, 8th edn. Wiley, New YorkGoogle Scholar
  52. 52.
    Incropera FP, DeWitt DP, Bergman TL, Lavine AS (2007) Fundamentals of heat and mass transfer. Wiley, New YorkGoogle Scholar
  53. 53.
    Litvan G (1972) Phase transitions of adsorbates: IV, mechanism of frost action in hardened cement paste. J Am Ceram Soc 55:38–42CrossRefGoogle Scholar
  54. 54.
    Brun M, Lallemand A, Quinson J-F, Eyraud C (1977) A new method for the simultaneous determination of the size and shape of pores: the thermoporometry. Thermochim Acta 21:59–88CrossRefGoogle Scholar
  55. 55.
    Radlinska A, Rajabipour F, Bucher B et al (2008) Shrinkage mitigation strategies in cementitious systems: a closer look at differences in sealed and unsealed behavior. Transp Res Rec J Transp Res Board 2070:59–67CrossRefGoogle Scholar
  56. 56.
    Henkensiefken R, Bentz D, Nantung T, Weiss J (2009) Volume change and cracking in internally cured mixtures made with saturated lightweight aggregate under sealed and unsealed conditions. Cem Concr Compos 31:427–437CrossRefGoogle Scholar
  57. 57.
    Yang Z, Weiss WJ, Olek J (2006) Water transport in concrete famaged by tensile loading and freeze–thaw cycling. J Mater Civ Eng 18:424–434CrossRefGoogle Scholar
  58. 58.
    Levy O, Stroud D (1997) Maxwell Garnett theory for mixtures of anisotropic inclusions: application to conducting polymers. Phys Rev B 56:8035–8046CrossRefGoogle Scholar
  59. 59.
    Progelhof RC, Throne JL, Ruetsch RR (1976) Methods for predicting the thermal conductivity of composite systems: a review. Polym Eng Sci 16:615–625CrossRefGoogle Scholar
  60. 60.
    Zhou L-P, Wang B-X, Peng X-F et al (2010) On the specific heat capacity of CuO nanofluid. Adv Mech Eng 2010:1–4CrossRefGoogle Scholar
  61. 61.
    Farnam Y, Esmaeeli HS, Bentz D, et al (2015) Experimental and numerical investigation on the effect of cooling/heating rate on the freeze–thaw behavior of mortar containing deicing salt solution. In: International conference on the regeneration and conservation of concrete structures (RCCS), Nagasaki, JapanGoogle Scholar
  62. 62.
    Farnam Y, Krafcik M, Liston L et al (2015) Evaluating the use of phase change materials in concrete pavement to melt ice and snow. J Mater Civ Eng 28:04015161CrossRefGoogle Scholar
  63. 63.
    Sourirajan S, Kennedy GC (1962) The system H2O–NaCl at elevated temperatures and pressures. Am J Sci 260:115–141CrossRefGoogle Scholar
  64. 64.
    Touloukian et al (1970) Thermophysical properties of matter: viscosity, vol 11. Ifi/PlenumGoogle Scholar
  65. 65.
    Hilsenrath et al (1955) Tables of thermal properties of gases. J Electrochem Soc 103:124CCrossRefGoogle Scholar
  66. 66.
    Fletcher NH (2009) The chemical physics of ice. Cambridge University Press, LondonGoogle Scholar
  67. 67.
    Pitzer KS, Peiper JC, Busey RH (1984) Thermodynamic properties of aqueous sodium chloride solutions. J Phys Chem Ref Data 13:1–102CrossRefGoogle Scholar
  68. 68.
    Campbell-Allen D, Thorne CP (1963) The thermal conductivity of concrete. Mag Concr Res 15:39–48CrossRefGoogle Scholar
  69. 69.
    Daian J-F (1988) Condensation and isothermal water transfer in cement mortar part I—pore size distribution, equilibrium water condensation and imbibition. Transp Porous Media 3:563–589CrossRefGoogle Scholar
  70. 70.
    Bentz D, Peltz M, Duran-Herrera A et al (2010) Thermal properties of high-volume fly ash mortars and concretes. J Build Phys 34:263–275CrossRefGoogle Scholar
  71. 71.
    Williams RJJ, Aldao CM (1983) Thermal conductivity of plastic foams. Polym Eng Sci 23:293–298CrossRefGoogle Scholar

Copyright information

© RILEM 2016

Authors and Affiliations

  • Hadi S. Esmaeeli
    • 1
  • Yaghoob Farnam
    • 1
  • Dale P. Bentz
    • 2
  • Pablo D. Zavattieri
    • 1
  • W. Jason Weiss
    • 3
  1. 1.Lyles School of Civil EngineeringPurdue UniversityWest LafayetteUSA
  2. 2.Materials and Structural Systems DivisionNational Institute of Standards and TechnologyGaithersburgUSA
  3. 3.School of Civil & Construction EngineeringOregon State UniversityCorvallisUSA

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