Esmaeeli Hadi S, Farnam Yaghoob, Bentz Dale P, Zavattieri Pablo D, Weiss Jason
Lyles School of Civil Engineering, Purdue University, 550 Stadium Mall Dr., West Lafayette, IN 47907, USA.
Materials and Structural Systems Division, National Institute of Standards and Technology, 100 Bureau Dr., Stop 8615, Gaithersburg, MD 20899, USA.
Mater Struct. 2017 Feb;50. doi: 10.1617/s11527-016-0964-8. Epub 2016 Nov 4.
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 °C 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 (LGCC) 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.
本文提出了一种一维有限差分模型,该模型用于描述含有除冰盐溶液的引气砂浆的冻融行为。采用一种唯象模型来预测砂浆试件在冷却和加热过程中的温度和热流。该唯象模型包含了与水/冰的冻结/融化或共晶溶液从液态到固态转变相关的相变。利用杠杆法则计算经历相变的溶液量,从而模拟相变过程中释放/吸收的能量。数值模型中考虑了过冷和孔径效应。为了研究孔径分布的影响,在饱和砂浆试件中使用吉布斯-汤姆逊方程来考虑这种分布。对于引气砂浆,考虑孔径(和曲率)对冻结的影响相对较小;然而,孔径在融化过程中的影响要大得多。在本研究使用的温度范围内(即+24℃至-35℃),小于5nm的孔隙(即凝胶孔隙)内的流体对砂浆试件宏观冻融行为的贡献相对较小,因此在宏观冻融模拟中可以忽略不计。利用一个热汇项来模拟相变过程中的热耗散。将使用低温纵向保护比较量热仪(LGCC)对完全饱和各种浓度NaCl溶液或部分饱和水的砂浆试件进行实验得到的数据与数值结果进行比较,总体上获得了良好的一致性。