Effects of gravity on lean hydrogen/air flame instability: From linear scaling law to nonlinear morphology evolution

Fuente: arXiv
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Hauptverfasser: Wen, Qizhe, Wang, Yan, Yang, Linlin, Wang, Yiqing, Zirwes, Thorsten, Wang, Shengkai, Chen, Zheng
Format: Preprint
Veröffentlicht: 2026
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author Wen, Qizhe
Wang, Yan
Yang, Linlin
Wang, Yiqing
Zirwes, Thorsten
Wang, Shengkai
Chen, Zheng
author_facet Wen, Qizhe
Wang, Yan
Yang, Linlin
Wang, Yiqing
Zirwes, Thorsten
Wang, Shengkai
Chen, Zheng
contents The instability characteristics of lean hydrogen/air flames have attracted considerable research attention, yet the effect of gravity remains insufficiently understood. In this study, time-resolved two-dimensional simulations with detailed chemistry and transport are conducted to investigate the influence of gravity-induced Rayleigh-Taylor (RT) instability on the linear growth rate of disturbances and nonlinear morphology evolution of cellular flame fronts at different length scales. In the linear regime, a parametric study is performed across various equivalence ratios, initial temperatures and pressures; in each case, the dispersion relation is calculated for various gravity levels. The influence of gravity is most pronounced under ultra-lean, low-temperature, and high-pressure conditions, and a universal scaling law between gravity sensitivity and the Froude number is established. In the nonlinear regime, gravity has opposite effects on the large-scale and small-scale structures of lean hydrogen flames. On the one hand, gravity inhibits the splitting of small-scale cellular structures through a baroclinic torque mechanism; on the other hand, it promotes the development of large-scale finger-like structures, thereby increasing the total surface area and the global consumption speed of the flame. The effects of gravity on the probability distributions of cell size, displacement speed, Karlovitz number, and local curvature are also analyzed. The results and findings of the present study should advance the fundamental understanding of hydrogen flame dynamics under varying gravity conditions and provide insight for relevant applications, including fire safety and space propulsion.
format Preprint
id arxiv_https___arxiv_org_abs_2603_28249
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Effects of gravity on lean hydrogen/air flame instability: From linear scaling law to nonlinear morphology evolution
Wen, Qizhe
Wang, Yan
Yang, Linlin
Wang, Yiqing
Zirwes, Thorsten
Wang, Shengkai
Chen, Zheng
Fluid Dynamics
The instability characteristics of lean hydrogen/air flames have attracted considerable research attention, yet the effect of gravity remains insufficiently understood. In this study, time-resolved two-dimensional simulations with detailed chemistry and transport are conducted to investigate the influence of gravity-induced Rayleigh-Taylor (RT) instability on the linear growth rate of disturbances and nonlinear morphology evolution of cellular flame fronts at different length scales. In the linear regime, a parametric study is performed across various equivalence ratios, initial temperatures and pressures; in each case, the dispersion relation is calculated for various gravity levels. The influence of gravity is most pronounced under ultra-lean, low-temperature, and high-pressure conditions, and a universal scaling law between gravity sensitivity and the Froude number is established. In the nonlinear regime, gravity has opposite effects on the large-scale and small-scale structures of lean hydrogen flames. On the one hand, gravity inhibits the splitting of small-scale cellular structures through a baroclinic torque mechanism; on the other hand, it promotes the development of large-scale finger-like structures, thereby increasing the total surface area and the global consumption speed of the flame. The effects of gravity on the probability distributions of cell size, displacement speed, Karlovitz number, and local curvature are also analyzed. The results and findings of the present study should advance the fundamental understanding of hydrogen flame dynamics under varying gravity conditions and provide insight for relevant applications, including fire safety and space propulsion.
title Effects of gravity on lean hydrogen/air flame instability: From linear scaling law to nonlinear morphology evolution
topic Fluid Dynamics
url https://arxiv.org/abs/2603.28249