Nonlinear analysis of flame hydrodynamic instability at large gas expansion ratio

IF 1.9 4区工程技术 Q4 ENERGY & FUELS

Combustion Theory and Modelling Pub Date : 2022-02-18 DOI:10.1080/13647830.2022.2037720

S. Minaev, V. Gubernov

引用次数: 0

Abstract

In the context of the large thermal-expansion approximation, we derive an equation describing flame front dynamics under conditions of Darrieus-Landau instability. We show that the second-order theory leads to system of two evolution equations for the flame front perturbations and for the potential of the unburned mixture flow. In the limiting case of long evolution, the system of equations can be reduced to one equation with respect to the additive variable that is the sum of the front perturbations and the flow potential. The equation with respect to the additive variable at large gas expansion coefficients has the form of the Sivashinsky equation obtained for the case of small gas expansion coefficients.

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大气体膨胀比下火焰流体动力不稳定性的非线性分析

在大热膨胀近似的背景下，我们导出了一个描述Darrieus-Landau不稳定条件下火焰前沿动力学的方程。我们证明了二阶理论导出了火焰锋扰动和未燃烧混合物流势的两个演化方程组。在长期演化的极限情况下，方程组可以简化为一个关于加性变量的方程，加性变量是前沿扰动和流动势的总和。关于在大气体膨胀系数下的附加变量的方程具有在小气体膨胀系数的情况下获得的Sivashinsky方程的形式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Combustion Theory and Modelling 工程技术-工程：化工

CiteScore

3.00

自引率

7.70%

发文量

审稿时长

6 months

期刊介绍： Combustion Theory and Modelling is a leading international journal devoted to the application of mathematical modelling, numerical simulation and experimental techniques to the study of combustion. Articles can cover a wide range of topics, such as: premixed laminar flames, laminar diffusion flames, turbulent combustion, fires, chemical kinetics, pollutant formation, microgravity, materials synthesis, chemical vapour deposition, catalysis, droplet and spray combustion, detonation dynamics, thermal explosions, ignition, energetic materials and propellants, burners and engine combustion. A diverse spectrum of mathematical methods may also be used, including large scale numerical simulation, hybrid computational schemes, front tracking, adaptive mesh refinement, optimized parallel computation, asymptotic methods and singular perturbation techniques, bifurcation theory, optimization methods, dynamical systems theory, cellular automata and discrete methods and probabilistic and statistical methods. Experimental studies that employ intrusive or nonintrusive diagnostics and are published in the Journal should be closely related to theoretical issues, by highlighting fundamental theoretical questions or by providing a sound basis for comparison with theory.