Hermite-Padé approximation approach to exothermic explosions with heat loss

Houda Biyadi; Khaled Chetehouna; Mustapha Er-Riani

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Hermite-Padé approximation approach to exothermic explosions with heat loss

机译：带热损失的放热爆炸的Hermite-Padé近似方法

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We consider in this study the steady-state solutions for the exothermic chemical reaction in a slab, taking into account the heat loss to the ambient and assuming an Arrhenius-type temperature dependence. Analytical solutions are obtained for the governing nonlinear boundary value problem using the homotopy analysis method. A special type of?Hermite-Padé approximation is used to extract numerical estimations of the critical Frank-Kamenetskii parameters and the critical temperatures. The consequences of heat loss are explored within the framework of a one dimensional, steady state model.

机译：我们在这项研究中考虑了板中放热化学反应的稳态解，同时考虑了到环境的热损失并假设了阿伦尼乌斯型温度依赖性。使用同伦分析方法获得了控制非线性边值问题的解析解。一种特殊类型的“Hermite-Padé”近似值用于提取临界Frank-Kamenetskii参数和临界温度的数值估计。在一维稳态模型的框架内探讨了热损失的后果。

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《University of Bucharest. Annals. Mathematical Series》 |2015年第1期|共页
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Houda Biyadi; Khaled Chetehouna; Mustapha Er-Riani;
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1. Hermite-Pad approximation approach to exothermic explosions with heat loss [J] . Houda Biyadi, Mustapha Er-Riani, Khaled Chetehouna Universitatea din Craiova. Analele. Seria: Matematica, Informatica . 2015,第1期

机译：带热损失的放热爆炸的Hermite-Pad近似方法
2. Hermite-Padé approximation approach to exothermic explosions with heat loss [J] . Houda Biyadi, Khaled Chetehouna, Mustapha Er-Riani Universitatea din Craiova. Analele. Seria: Matematica, Informatica . 2015,第1期

机译：带热损失的放热爆炸的Hermite-Padé近似方法
3. Analysis of Nonlinear Heat Transfer in a Cylindrical Solid with Two-Step Exothermic Kinetics and Radiative Heat Loss [J] . Solomon Tahiru, Oluwole Daniel Makinde Diffusion and Defect Data. Solid State Data, Part A. Defect and Diffusion Forum . 2017,第期

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4. CHALLENGES IN START-UP CONTROL OF A HEAT EXCHANGE REACTOR WITH EXOTHERMIC REACTIONS; A HYBRID APPROACH [C] . Staffan Haugwitz, Per Hagander International Federation of Automatic Control(IFAC) Conference on Analysis and Design of Hybrid Systems; 20060607-09; Alghero(IT) . 2006

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Hermite-Padé approximation approach to exothermic explosions with heat loss

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