This article reports the linear stability analysis of a thermodynamic-transcritical jet sprayed to a radial electrical field. An asymptotic approach was used to obtain the stability solution of a supercritical jet subjected to electrical field. In order to obtain the solutions for the electrified supercritical jet, the surface tension was decreased and consequently led the increase in Weber number in the linear governing equation of subcritical charged jet. To investigate the role of surface tension and electric stress playing in the destabilizing process when approaching the critical point, the energy budget is performed by tracing the energy sources. It was found that, when the Weber number is increased to a sufficiently large value, the solution will become an asymptotic value, which can be considered as a solution under the supercritical conditions. The electric stress can increase both the maximum growth rate and the dominant wave number of electrified supercritical jet, that is, higher electrical field intensity would enhance the instability of the electrified supercritical jet and decrease the wavelength of the disturbances.

本文报告了喷射到径向电场的热力学跨临界射流的线性稳定性分析。渐近方法用于获得经受电场的超临界射流的稳定性解。为了获得带电超临界射流的解，降低了表面张力，从而导致亚临界带电射流的线性控制方程中的韦伯数增加。为了研究表面张力和电应力在接近临界点时在不稳定过程中所起的作用，通过跟踪能源来执行能量预算。已经发现，当韦伯数增加到足够大的值时，解将变为渐近值，可以认为是在超临界条件下的解决方案。电应力可以增加带电超临界射流的最大增长率和主波数，即较高的电场强度将增强带电超临界射流的不稳定性，并减小扰动的波长。