Electrohydrodynamic (EHD) thrust is produced when ionized fluid is accelerated in an electric field due to the momentum transfer between the charged species and neutral molecules. We extend the previously reported analytical model that couples space charge, electric field and momentum transfer to derive thrust force in one-dimensional planar coordinates. The electric current density in the model can be expressed in the form of Mott–Gurney law. After the correction for the drag force, the EHD thrust model yields good agreement with the experimental data from several independent studies. The EHD thrust expression derived from the first principles can be used in the design of propulsion systems and can be readily implemented in the numerical simulations.

中文翻译：

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电流体动力推力的解析模型

由于带电物质和中性分子之间的动量传递，当电离流体在电场中加速时，就会产生电流体动力学 (EHD) 推力。我们扩展了先前报道的耦合空间电荷、电场和动量传递的分析模型，以在一维平面坐标中导出推力。模型中的电流密度可以用莫特-格尼定律的形式表示。在对阻力进行校正后，EHD 推力模型与几项独立研究的实验数据非常吻合。从第一性原理导出的 EHD 推力表达式可用于推进系统的设计，并可在数值模拟中轻松实现。