Hydrodynamic flame instabilities are studied in a Hele-Shaw burner. By studying the development of perturbations, starting from a 2D Bunsen flame at the top of the burner, growth rates are measured for propane and methane–air mixtures, and compared to theoretical predictions. It is found that the dispersion relation in a Hele-Shaw cell has the same dependence with wavenumber $\sigma =k-k^2$ as the one predicted in tubes. Markstein numbers relative to fresh gases are obtained for propane and methane flames and compared to the literature.

中文翻译：

---

Hele-Shaw池中的Darrieus-Landau不稳定性和预混火焰的Markstein数

在Hele-Shaw燃烧器中研究了流体动力火焰的不稳定性。通过研究扰动的发展，从燃烧器顶部的二维本生火焰开始，测量丙烷和甲烷-空气混合物的生长速率，并将其与理论预测值进行比较。发现在Hele-Shaw单元中的色散关系与波数具有相同的相关性$\sigma =ķ-{ķ}^{\mathrm{2个}}$如管中预测的那样。对于丙烷和甲烷火焰，获得了相对于新鲜气体的马克斯坦数，并将其与文献进行了比较。