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混凝土坝等大体积混凝土建筑物,在施工时需要分块来浇筑。对于薄块的散热计算, 考虑了浇筑层向顶面散热和底面输热,求得了一向温度场的解答。显然,由于解答[1]没有考虑浇筑块向四周散热,因此对于厚块是不够准确的。本文求解了柱状式浇筑块(图1)的散热计算。假设一个矩形六面体,放在一个与六面体等长和等宽的无限深基础上,六面体向顶面散热、底面输热和四周散热,求得了三向问题(温度场、平均温度和最高温度)的解答。这个解答不但适用于柱状块,对于其他型式的厚块,也比[1]接近于实际。
Concrete dams and other mass concrete buildings, need to be divided in the construction of the pouring. For the calculation of the heat dissipation of thin slab, the pouring layer is taken into account to dissipate the heat to the top surface and to the bottom surface, and the solution to the temperature field has been obtained. Obviously, the answer [1] is not accurate enough for the thick block because it does not consider the heat dissipation around the casting block. This article solves the column-type pouring block (Figure 1) of the heat calculation. Suppose a rectangular hexahedron, on the basis of an infinite depth of equal length and constant width with hexahedron, the hexahedron radiates heat to the top surface, the bottom surface and heats around, obtaining three-way problems (temperature field, average temperature and maximum temperature) answer. This solution applies not only to columnar blocks, but also to other types of slabs than [1].