大坝渗漏传热模型及拉氏变换解

Laplace solution for heat transfer model of dam leakage

从理论上分析了大坝渗漏与温度场相互影响的机理,并根据热传导方程以及系统能量方程提出了大坝渗漏传热模型。根据一定的边界条件及初始条件推导出拉氏空间下以Bessel函数表示的无量纲解析解。运用围道积分法,得到实空间解。给出了工程应用实例,并用Mathematica软件包进行数值计算。

The mechanism of the action between the leakage and temperature field in the dam was analyzed. Based on the heat transfer and the combination of the conservation of energy equation, heat transfer model in the dam was presented. Dimensionless equations of the transfer model obtained in the Laplace spaces at the boundary and initial condition were expressed in terms of ordinary Bessel function. The analytical solutions in real spaces were made by the contour integration method. A practrical example was given, and the numerical computation was completed by the Mathematica software package as well.