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An Asymptotic Analysis of a Solid Electrolyte Oxygen Cell for Mars

机译：火星固体电解质氧电池的渐近分析

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摘要

The solid electrolyte cell, meant for dissociating a reactant gas (carbon dioxide into carbon monoxide and oxygen for example) is analyzed. The method of matched asymptotic expansions is applied explicitly including the nonlinear Arrhenius term for the dissociation reaction. A second Arrhenius term is included for accurately representing the electrical conductivity of the electrolyte as a function of temperature. Recognizing that the Zel'dovich number (E/Rtmax) is greater than ten in most practical cases, a closed form solution is obtained in the limit of large activation energies. The expression for the flowrate of the reactant (CO_2, for example in this case), which appears as the eigenvalue, shows explicit dependence upon the temperature, applied voltage, thermophysical and electrochemical properties of the materials.
机译：分析了用于分解反应气体（例如二氧化碳到一氧化碳和氧气中）的固体电解质电池。明确采用匹配渐近展开的方法，包括用于解离反应的非线性Arrhenius项。包含第二个Arrhenius项，用于准确表示电解质的电导率随温度的变化。认识到在大多数实际情况下Zel'dovich数（E / Rtmax）大于10，因此在大活化能的限制下获得了封闭形式的解。反应物（例如，在这种情况下为CO_2）的流量表达式以特征值形式显示，它明确依赖于材料的温度，施加的电压，热物理和电化学性质。

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