Front propagation in the interaction of gases to model a fuel tank inerting process with a nonlinear parabolic operator

IF 1.7 4区 材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY Multidiscipline Modeling in Materials and Structures Pub Date : 2023-06-01 DOI:10.1108/mmms-10-2022-0224
José Luis Díaz Palencia
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Abstract

Purpose The objective of this study is to model the propagating front in the interaction of gases in an aircraft fuel tank. To this end, we introduce a nonlinear parabolic operator, for which solutions are shown to be regular. Design/methodology/approach The authors provide an analytical expression for the propagating front, that shifts any combination of oxygen and nitrogen, in the tank airspace, into a safe condition to avoid potential explosions. The analytical exercise is validated with a real flight. Findings According to the flight test data, the safe condition, of maximum 7% of oxygen, is given for a time t = 45.2 min since the beginning of the flight, while according to our analysis, such a safe level is obtained for t = 41.42 min. For other safe levels of oxygen, the error between the analytical assessment and the flight data was observed to be below 10%. Originality/value The interaction of gases in a fuel tank has been little explored in the literature. Our value consists of introducing a set of nonlinear partial differential equations to increase the accuracy in modeling the interaction of gasses, which has been typically done via algebraic equations.
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用非线性抛物算子模拟油箱惯性过程的气体相互作用中的锋面传播
目的建立飞机油箱内气体相互作用的传播锋模型。为此,我们引入了一个非线性抛物算子,并证明了其解是正则的。设计/方法/方法作者提供了传播前沿的解析表达式,该表达式将储罐空域中的任何氧气和氮气组合转换为安全状态,以避免潜在的爆炸。通过实际飞行验证了分析练习。根据飞行试验数据,在飞行开始后的一段时间t = 45.2 min内给出了最大含氧7%的安全条件,而根据我们的分析,在t = 41.42 min时获得了该安全水平。对于其他安全的含氧水平,分析评估与飞行数据的误差在10%以下。文献中很少探讨燃料箱中气体的相互作用。我们的价值包括引入一组非线性偏微分方程来提高模拟气体相互作用的准确性,这通常是通过代数方程来完成的。
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来源期刊
CiteScore
3.70
自引率
5.00%
发文量
60
期刊介绍: Multidiscipline Modeling in Materials and Structures is published by Emerald Group Publishing Limited from 2010
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