{'fraction_non_alphanumeric': 0.010101010101010102, 'fraction_numerical': 0.0, 'mean_word_length': 5.4471544715447155, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Theoretical study of EHD instability in a system of conducting and insulating liquids at unipolar injection

Two layers of insulating and conducting viscous liquids confined between two plane parallel electrodes and subjected to a unipolar ion injection are considered. The linear electrohydrodynamic instability in this system is studied theoretically. The critical Rayleigh numbers are determined for a wide range of parameters: weak and strong injections, by rigid electrode or through the liquid-liquid interface, for different ratios of the liquid viscosities and liquid layer thicknesses. The viscous shear forces acting at the liquid interface have a destabilizing effect in comparison with the case of a single layer between rigid electrodes or a rigid electrode and the free surface.