朱振泱, 刘敏芝, 强晟, 相建方. 基于热流量积分的混凝土温控水管冷却边界模拟算法[J]. 农业工程学报, 2016, 32(9): 83-89. DOI: 10.11975/j.issn.1002-6819.2016.09.012
    引用本文: 朱振泱, 刘敏芝, 强晟, 相建方. 基于热流量积分的混凝土温控水管冷却边界模拟算法[J]. 农业工程学报, 2016, 32(9): 83-89. DOI: 10.11975/j.issn.1002-6819.2016.09.012
    Zhu Zhenyang, Liu Minzhi, Qiang Sheng, Xiang Jianfang. Algorithm to simulate concrete temperature control cooling pipe boundary based on heat flux integration[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 2016, 32(9): 83-89. DOI: 10.11975/j.issn.1002-6819.2016.09.012
    Citation: Zhu Zhenyang, Liu Minzhi, Qiang Sheng, Xiang Jianfang. Algorithm to simulate concrete temperature control cooling pipe boundary based on heat flux integration[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 2016, 32(9): 83-89. DOI: 10.11975/j.issn.1002-6819.2016.09.012

    基于热流量积分的混凝土温控水管冷却边界模拟算法

    Algorithm to simulate concrete temperature control cooling pipe boundary based on heat flux integration

    • 摘要: 以往用冷却水管离散模型迭代计算混凝土温度场时,水管边界被近似认为是第三类边界条件,此类边界条件的参数获取要通过试验并进行反演,试验费用较大且有时候可靠性不高。针对该问题,在热量平衡条件的基础上提出由与水管接触混凝土的热流量、水管的导热系数、管壁厚度和水管内壁温度推算水管外壁温度的新算法,并对原有迭代方法进行改进,解决迭代次数多和迭代可能无法收敛的问题。对比算例中,采用传统算法,模型边界处的误差可达到1.67℃,而采用该新算法,误差仅为0.3℃。应用所提方法对某混凝土块施工期混凝土温度场进行了仿真计算,计算值与实测值吻合较好,且迭代收敛速度较快,一般的迭代方法,需要迭代15次,而采用改进的迭代方法,只需迭代7次即可以达到稳定值。该算法能明确通水冷却的边界条件,节省试验费用,提高计算效率,有较好的工程应用价值。

       

      Abstract: Abstract: When using the explicit iterative method to solve the temperature of mass concrete with cooling pipes, it is generally considered that the inner and outer surface of metal pipes can be neglected but the temperature difference cannot be neglected when using the plastic pipes. And the plastic pipes are usually regarded as the third boundary condition. For the past researchers, the coefficient of this kind of boundary condition can be got by experiment and inversion, which is yet expensive and may also not be reliable sometimes. To solve the problem, on the base of heat balance condition, a new calculation method is brought forward. It is well known that concrete is a poor conductor of heat, and there is a large temperature difference between the concrete and the cooling water. So, in the shell of a cooling pipe and the concrete near it, it can be assumed that the heat flux is only discharged by cooling water in the pipe and the direction of the temperature gradient is perpendicular to the cooling pipe surface. So, the heat fluxes passing through any circle (take the center pipe as the center of those circles) in the shell of the plastic pipe are equal. Based on these basic principles, the temperature of cooling pipe outer surface can be obtained by the heat flux of the concrete around the pipe, the thermal conductivity, the thickness of the pipe and the temperature of pipe inner surface. When using the conventional iterative method to solve the temperature of the mass concrete with cooling pipes, the iterative method should be used for the unknown water temperature distributions along the cooling pipes. For this new method, the temperature distributions along the inner surface of the pipes is also unknown, so the iterative method should be also used. With this new method, when using the conventional iterative method, the convergence speed is relatively low, or even can not converge. To solve this problem, the iterative algorithm is also improved. When the iteration time is (N-1) and N separately, it is assumed that the corresponding calculated temperature on the outer surface of the cooling pipe is Tn-1 and Tn respectively. And then, when using 0.5(Tn-1+ Tn) as the initial calculation condition for the (N+1)th time, the convergence of the iteration can be easily achieved. The convergence condition of the improved method was proved by mathematical deduction, and the deduction results showed that the convergence could be always reached in different engineering cases. A comparing numerical example was used to comparing the accuracy of the new method and the conventional explicit iterative method. In this comparing numerical example, the calculation results of the finite element method (FEM) considering the pipe as a part of mesh were considered as the theoretical solution. The calculation results showed that in the concrete near adiabatic boundary of the mesh in the comparing example, the temperature difference between the calculation result of conventional explicit iterative method and the theoretical solution was 1.67℃, and the temperature difference between the calculation result of improved method and the theoretical solution was only 0.3℃. So, the improved method can be more accurate than the conventional explicit iterative algorithm. Using these new achievements, the temperature field of a concrete block during construction period was simulated, and the calculation results and testing results were compared. The total number of the iteration times was 15 for the conventional iterative method and only 7 for the improved method in this engineering example. The results show that the calculation value is close to the actual value, and this algorithm has high convergence speed. So this method can be used in engineering projects to prevent mass concrete from cracking.

       

    /

    返回文章
    返回