A single-field representation is derived to describe a multi-species gas flow seeded with perfectly rigid, non-porous and partially inert particles. Indeed, the latter are not involved in heterogeneous reactions with the gas phase (no consumption of the solid by the gas), but they are expected to potentially undergo adsorption and recombination of gaseous radicals on their surface, resulting in the desorption of stable species into the gas. In this work, integral balances are first established at the gas–solid interface, consistent with the local single-phase equations for reactive multi-species gas flow. This allows rigorous derivation of the jump equations that apply at the gas–solid interface in the presence of surface reactions. Then, the description in terms of local single-phase equations, completed by the jump equations at the interface, is recast into a set of equations for the full domain in the sense of distributions. The result extends Kataoka’s formalism (Kataoka, 1986) to reactive gas–solid flow in the presence of both homogeneous and surface reactions.

中文翻译：

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具有表面反应的气固反应流的双场和单场表示

推导出单场表示来描述带有完全刚性、无孔和部分惰性颗粒的多物质气流。事实上，后者不参与与气相的非均相反应（气体不会消耗固体），但预计它们可能会在其表面上经历气态自由基的吸附和重组，从而导致稳定物质解吸成气体。在这项工作中，积分平衡首先在气固界面建立，与反应性多物质气体流动的局部单相方程一致。这允许严格推导在存在表面反应的情况下应用于气固界面的跳跃方程。然后，由界面处的跳跃方程完成的局部单相方程的描述被重写为一组分布意义上的全域方程。结果将 Kataoka 的形式主义（Kataoka，1986）扩展到存在均相反应和表面反应的反应性气固流。