基于COMSOL~?模拟材料孔隙率与导热系数的演变关系
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摘要
为研究材料不同孔隙率对其导热系数的影响,通过MATLAB建立随机分布模型,结合COMSOL~?有限元软件和经典理论计算公式进行分析,得出:基于MATLAB随机生成代码能够呈现出材料孔隙率的变化,并且COMSOL~?能够有效定性地计算出导热系数;Zimmerman模型计算出的导热系数与Campbell-Allen模型和COMSOL~?相差较大,Campbell-Allen模型与COMSOL~?计算结果较为吻合;COMSOL~?计算得出的导热系数变化曲线是由凹函数与凸函数组成,出现这一现象是由于孔洞的出现使得传热路径发生了变化。
In order to study the effect of different porosity on thermal conductivity of materials, a random distribution model is established by MATLAB, and the analysis is made by COMSOL~? finite element software and classical theoretical calculation formula. It is concluded that the random generated code based on MATLAB can show the change of material porosity, and COMSOL~? can effectively calculate the thermal conductivity qualitatively; the thermal conductivity calculated by Zimmerman model is quite different from COMSOL~? model and Campbell-Allen model, Campbell-Allen model is in good agreement with the results of COMSOL~? calculation. The curve of thermal conductivity calculated by COMSOL~? is composed of concave function and convex function. This phenomenon occurs because the occurrence of holes will lead to the change of heat transfer path, so that the change rate of thermal conductivity will change.
In order to study the effect of different porosity on thermal conductivity of materials, a random distribution model is established by MATLAB, and the analysis is made by COMSOL~? finite element software and classical theoretical calculation formula. It is concluded that the random generated code based on MATLAB can show the change of material porosity, and COMSOL~? can effectively calculate the thermal conductivity qualitatively; the thermal conductivity calculated by Zimmerman model is quite different from COMSOL~? model and Campbell-Allen model, Campbell-Allen model is in good agreement with the results of COMSOL~? calculation. The curve of thermal conductivity calculated by COMSOL~? is composed of concave function and convex function. This phenomenon occurs because the occurrence of holes will lead to the change of heat transfer path, so that the change rate of thermal conductivity will change.
引文
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3 解悦,李军,卢忠远,等.功能材料,2018,49(7),7215.
4 朱明,王方刚,张旭龙,等.武汉理工大学学报,2013,35(3),20.
5 兰明章,代丹丹,陈智丰,等.硅酸盐通报,2016,35(2),518.
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7 周顺鄂,卢忠远,严云.材料导报:研究篇,2009,23(3),69.
8 李翔宇,赵霄龙,郭向勇,等.材料导报:研究篇,2011,25(10),146.
9 陈春,钱春香,许燕波.东南大学学报(自然科学版),2012,42(2),383.
10 徐蔚雯,章学来,华维三,等.太阳能学报,2018(4),933.
11 丁杨,周双喜,黄神恩,等.传感器与微系统,2018,37(9),112.
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13 Campbell-Allen D .Magazine of Concrete Research,1963,15(43),39.
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