López-Herrera Sánchez, José MaríaRiesco Chueca, PascualGañán-Calvo, Alfonso M.2021-09-172021-09-172005López-Herrera Sánchez, J.M., Riesco Chueca, P. y Gañán-Calvo, A.M. (2005). Linear stability analysis of axisymmetric perturbations in imperfectly conducting liquid jets. Physics of Fluids, 17 (3), 034106-1-034106-22.1070-6631https://hdl.handle.net/11441/125956A discussion is presented on the role of limited conductivity and permittivity on the behavior of electrified jets. Under certain conditions, significant departures with respect to the perfect-conductor limit are to be expected. In addition, an exploration is undertaken concerning the validity of one-dimensional average models in the description of charged jets. To that end, a temporal linear modal stability analysis is carried out of poor-conductor viscous liquid jets flowing relatively to a steady radial electric field. Only axisymmetric perturbations, leading to highest quality aerosols, are considered. A grounded coaxial electrode is located at variable distance. Most available studies in the literature are restricted to the perfect-conductor limit, while the present contribution is an extension to moderate and low electrical conductivity and permittivity jets, in an effort to describe a situation increasingly prevalent in the sector of small-scale free-surface flows. The influence of the electrode distance b, a parameter a defined as the ratio of the electric relaxation time scale to the capillary time scale, and the relative permittivity b on the growth rate has been explored yielding results on the stability spectrum. In addition, arbitrary viscosity and electrification parameters are contemplated. In a wide variety of situations, the perfect-conductor limit provides a good approximation; however, the influence of a and b on the growth rate and most unstable wavelength cannot be neglected in the general case. An interfacial boundary layer in the axial velocity profile occurs in the low-viscosity limit, but this boundary layer tends to disappear when a or b are large enough. The use of a one-dimensional s1Dd averaged model as an alternative to the 3D approach provides a helpful shortcut and a complementary insight on the nature of the jet’s perturbative behavior. Lowest-order 1D approximations saverage modeld, of widespread application in the literature of electrified jets, are shown to be inaccurate in low-viscosity imperfect-conductor jets. © 2005 American Institute of Physics.application/pdf23 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Axisymmetric perturbationsLinear stabilityLiquid jetsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1063/1.1863285