The paper presents an analytical and a numerical approach to studying the effectiveness of the cooling of a granular target by gaseous helium. The increase in the target temperature is caused by an impinging beam which deposits a very high power of 138 kW inside the limited volume of the target. A porous domain approach is used to model the flow of helium through the packed-bed target. An efficient one-dimensional analytical model is proposed to describe the transverse flow of gas helium, which accounts for its compressibility and the heat exchange between the target spheres and the cooling gas. The predictions of this model are shown to be in good agreement with more complex numerical studies done with Fluent.

本文提出了一种分析和数值方法来研究气态氦冷却颗粒目标的有效性。目标温度的升高是由入射光束引起的，该光束 在目标的有限体积内沉积了非常高的 138 kW 功率。多孔域方法用于模拟通过填充床目标的氦流。提出了一种有效的一维分析模型来描述气体氦的横向流动，这说明了其可压缩性以及目标球体与冷却气体之间的热交换。该模型的预测结果与使用 Fluent 进行的更复杂的数值研究非常吻合。