边界净流条件下的超声速热波

Supersonic radiative heat wave driven by net flux from boundary

物质中的辐射热波的行为一直是人们非常关注的问题。但是由于辐射热传导方程具有很强的非线性,其精确的解析解很难求出。利用微扰论推导出了任意边界净流条件下的边界温度的变化行为和热波传播轨迹的理论公式,并与辐射流体力学程序计算的数值结果进行了对比,结果显示理论计算的热波轨迹与数值模拟的结果符合得非常好。

The radiative heat wave in matter is an important issue concerned by inertial confinement fusion（ICF） and astrophysics. However, accurate analytic diffusion wave solutions are difficult to obtain due to the strong nonlinearity of the radiation diffusion equation. With a perturbation technique, the heat front position and temperature of surface for arbitrary net driven flux time history is present. The result shows good agreement with the numerical simulation.