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Development of a 2D Axisymmetric Electron Fluid Model in Hall Thrusters

机译:霍尔推力器中二维轴对称电子流体模型的开发

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Modeling and simulation play an important role in the development of Hall thrusters by providing faster and more cost-effective means of characterization, as opposed to using experimental measurements alone. While the hybrid-PIC approach has been well established for the past two decades, new thruster designs require updates in the computational models. Specifically, the quasi-1D fluid electron model places significant limitations on the simulation, and this study focuses on the development of a 2D-axisymmetric electron model. First, the potential solver is verified by proving current conservation for all seven test cases. Next, the model is benchmarked against a quasi-1D model to evaluate discharge current, plasma potential, axial electric field, global Joule heating, and Joule heating power density. For the three channel test cases with a purely radial electric field the domain is the most similar to the quasi-1D domain, and we see the best agreement with the quasi-1D results. The difference in electron current is less than 1%, and good qualitative agreement is observed for the plasma potential, axial electric field and Joule heating power density. For the three channel test cases with a curved magnetic field we observe a difference in discharge current of less than 10%, while for the plume case the current is 70% higher than in the quasi-1D prediction, due to the location and geometry of the boundary conditions. Finally, the effects of Joule heating are investigated, and high sensitivity to the electron collision frequency and magnetic field is observed. While the present work highlights the latest developments of a complete standalone 2D model for electrons, ongoing work is focused on coupling this model with a heavy species solver in a hybrid framework.
机译:与提供单独的实验测量方法相比,建模和仿真通过提供更快,更经济的表征方法,在霍尔推进器的开发中发挥了重要作用。尽管混合PIC方法已经在过去的二十年中得到了很好的确立,但新的推进器设计需要对计算模型进行更新。具体来说,准1D流体电子模型在模拟上有很大的局限性,而本研究的重点是2D轴对称电子模型的开发。首先,通过证明所有七个测试用例的电流守恒来验证电位求解器。接下来,将该模型与准1D模型进行基准测试,以评估放电电流,等离子体电势,轴向电场,整体焦耳热和焦耳热功率密度。对于具有纯径向电场的三通道测试案例,其域与准1D域最相似,我们看到与准1D结果的最佳一致性。电子电流的差异小于1%,并且在等离子体电势,轴向电场和焦耳热功率密度方面观察到良好的定性一致性。对于具有弯曲磁场的三通道测试案例,我们观察到放电电流的差异小于10%,而对于羽状案例,由于其位置和几何形状,电流比准1D预测高70%。边界条件。最后,研究了焦耳加热的影响,并观察到对电子碰撞频率和磁场的高灵敏度。尽管当前的工作着重介绍了完整的独立2D电子模型的最新进展,但正在进行的工作重点是在混合框架中将此模型与重物质求解器耦合。

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