根据质量守恒、动量守恒及能量守恒原理，建立了自然对流情形下激光辐照液体贮箱的理论模型。通过方程分析法，导出了该问题的尺度律，在此基础上给出了激光辐照液体贮箱的缩比方法，并对一组实例进行了数值计算，得到了缩比模型与原型结果完全相似的结论，模拟结果证明了该问题尺度律的成立。为验证理论模型与数值求解的正确性，本文还针对小尺度模型进行了实验研究，数值模拟结果与实验测量结果符合较好，表明理论模型可靠有效。

Based on the mass, momentum, and energy conservation principle, a 3-D unsteady conjugate conduction-natural convection model was developed to simulate the laser irradiation effects on liquid tank. By means of equation analysis, the scaling law for this problem was obtained. According to the scaling law, a full-scale prototype and the corresponding reduced-scale model were established and analysed, respectively. It shows that similarity existed between the full-scale prototype and the reduced-scale model. Moreover, an experiment with the small scale model was performed to verify the numerical model. The measurement results are in good agreement with the ones obtained by the numerical simulation.