为了研究二极管阵列抽运折射率匹配液冷却的掺Nd3+玻璃微球阵列增益区产生的热效应，采用FLUENT6.3.26软件建立了激光器增益区流场的热-流-固耦合模型，利用有限元分析法，模拟分析了钕玻璃微球阵列的温度分布与自身尺寸、匹配液流速、微球层数和抽运频率的变化关系及其对热畸变的影响。由模拟结果可知，固体微球激光器的热恢复时间短，冷却效果与微球层数无关，流速增加对小尺寸微球的冷却效果无明显改善; 当抽运频率为1Hz时，直径为2mm和4mm的微球增益区的单程最大光程差为3.1nm和51.9nm。结果表明，该构型激光器具有高效的冷却能力。这一结果对微球阵列激光器的热管理是有帮助的。

In order to study the thermal effect of the neodymium-doped microsphere array caused by the pumping laser diode array (LDA), a thermal-flow-solid coupling model was established with FLUENT6.3.26 software, and the dependence of the temperature of neodymium-doped microsphere array on its size, fluid velocity, pump frequency and the number of microsphere layers was analyzed by means of finite element analysis. Analysis results show that the laser has short thermal recovery time and the cooling effect has nothing to do with the number of layers. The cooling effect of the microspheres in the small size isn't improved by increasing velocity. The maximum one-way optical path difference of Nd3+microsphere in 2mm and 4mm diameter was 3.1nm and 51.9nm respectively at a repetition rate of 1Hz. The results show that the neodymium-doped microsphere array laser has a highly efficient cooling capacity and is beneficial to the thermal management of a microsphere array laser.