粗糙热传导表面下激光介质温度场的计算分析

提出了一种计算温度场的面热源自适应调整算法,该方法通过在研究对象的封闭边界上引入虚拟面热源来求解稳态热传导方程的边值问题。建立了导热联结的具有粗糙表面介质的接触模型,在此基础上建立了随机分布的表面散热边界条件,并用面热源自适应调整算法计算了激光介质的温度场。结果表明,由于实际激光介质散热表面不能完全紧密接触,其温度场呈现一定程度的随机起伏,越靠近边界,随机起伏越明显,介质中心区域随机起伏则不明显;有效热接触面积越小,这种随机起伏越强烈。计算表明热接触面积占50%时,比接触面积占75%时温度场的随机性更明显。

Temperature Field Analysis of Laser Medium with Rough Surface Heat Conduction

A surface heat source adjustment approach to calculate temperature field is presented in this paper. In the approach, virtual surface heat source is introduced at the boundary of the object to solve the boundary value problem of the steady-state heat conduction equation. A contact model of rough surfaces with heat conduction connection is established. On this basis, the randomly distributed boundary conditions are established, and the temperature field in the medium is computed by using the surface heat source adjustment method. The result shows that the temperature field presents some random fluctuation due to the untight contact between the actual surfaces. The fluctuation is very obvious near the boundary while it is not obvious at the center, and the smaller the effectively contacted area, the more obvious the fluctuation is. For example, the fluctuation of 50% effective contact is more obvious than that of 75%.