The well-known description of hydrodynamic instability of planar interfacial boundary at liquid combustion is applied to analysis of stability of a stationary analytical solution for the shape of the phase interface during propagation of self-sustaining evaporation front along a flat heater in superheated liquid. The applicability of the criterion of hydrodynamic instability of planar interphacial surface to the problem with a curved interface is considered. The dependences of the boundary of the perturbed evaporation surface and the range of wavelengths of unstable linear perturbations on the main physical parameters are obtained. It is shown that under certain conditions, no interfacial instability appears in the front part of the vapor cavity. The possibility of change in the mode of propagation of the evaporation front due to instability to azimuthal disturbances is analyzed.

中文翻译：

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过热液体中汽化前沿的水动力不稳定性

液体燃烧时平面界面边界的流体动力学不稳定性的众所周知的描述被用于分析自持蒸发峰沿平面加热器在过热液体中的传播过程中，相界面形状的固定分析溶液的稳定性。考虑了平面界面表面的水动力不稳定性准则对弯曲界面问题的适用性。获得了扰动蒸发面的边界和不稳定线性扰动的波长范围对主要物理参数的依赖性。结果表明，在一定条件下，蒸汽腔的前部没有出现界面不稳定性。