A novel 2D fluid model for capacitively coupled and cross-field atmospheric pressure plasma jets is developed, coming from the simplification of a detailed 2D plasma fluid model and taking into account the jet flow. The simplification is based on a set of reasonable assumptions and is applied systematically through a formalism based on dimensionless numbers (e.g. Peclet and Damkohler), although common in chemical engineering, utilized for the first time in the context of plasma jets and plasma modeling in general. The simplified 2D fluid model, namely the cross-field plasma model (CFPM), consists of a number of 1D plasma fluid models which are solved serially using a multi-time-scale framework. The CFPM is applied to a He/O₂ plasma in the COST reference jet. The comparison with the results of the detailed 2D model points out that the CFPM can reproduce detailed 2D calculations ∼10 times faster. The comparison with the results of the standard 1D model highlights the limitations of the 1D model to produce reliable results for species with residence time lower compared to the time required for their net production to come into equilibrium. For O, O₃, and O₂(a ¹Δ _u ), i.e. species critical in biomedical applications, the mishit of the 1D model is 1–2 orders of magnitude. These advantages render the CFPM a perfect candidate for the simulation and design of cross-field plasma jets, substituting the commonly used 1D plasma fluid model.

通过简化详细的2D等离子流体模型并考虑到射流，开发了一种用于电容耦合和跨场大气压等离子体射流的新颖2D流体模型。简化基于一组合理的假设，并且通过基于无量纲数字的形式主义（例如Peclet和Damkohler）进行系统地应用，尽管在化学工程中很普遍，但首次在等离子流和等离子模型的背景下首次使用。简化的2D流体模型，即跨场等离子体模型（CFPM），由多个1D等离子体流体模型组成，这些模型使用多时间尺度框架依次求解。CFPM应用于He / O ₂COST参考射流中的等离子体。与详细2D模型结果的比较表明，CFPM可以重现大约10倍的详细2D计算。与标准1D模型结果的比较突出了1D模型在产生物种的可靠结果方面的局限性，其停留时间比其净产量达到平衡所需的时间短。对于O，O- ₃，和O ₂（一个 ¹ Δ _ü），在生物医学应用的关键，即物种，一维模型的未命中是1-2个数量级。这些优势使CFPM替代了常用的一维等离子体流体模型，成为进行交叉场等离子体射流仿真和设计的理想选择。