Ponencia
3-D and 1-D dynamics of slender liquid jets: linear analysis with electric field and accuracy of 1-D models near the breakup
Autor/es | García García, Francisco Javier
Castellanos, Antonio |
Departamento | Universidad de Sevilla. Departamento de Electrónica y Electromagnetismo Universidad de Sevilla. Departamento de Física Aplicada I |
Fecha de publicación | 1999-10 |
Fecha de depósito | 2023-07-14 |
Publicado en |
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ISBN/ISSN | 0-7803-5414-1 (impreso) |
Resumen | In a previous paper [Phys. Fluids, vol. 6, 2676 (1994)], the authors derived four 1-D models (Lee, Cosserat, averaged, and parabolic models) for slender axisymmetric liquid jets from the Navier-Stokes equations. The error ... In a previous paper [Phys. Fluids, vol. 6, 2676 (1994)], the authors derived four 1-D models (Lee, Cosserat, averaged, and parabolic models) for slender axisymmetric liquid jets from the Navier-Stokes equations. The error of these 1-D models was calculated for small perturbations, in the absence of electric field. Here, we extend the linear error analysis to both perfectly insulating liquid jets in a tangential electric field and perfectly conducting liquid jets in a radial electric field. The accuracy of these models for studying the breakup, when nonlinear effects are no longer negligible, is also tested in the absence of electric field. A comparison of numerical 3-D solutions with results from 1-D models is made. A formulation of the energy conservation in 1-D models allows identifying and correcting a numerical instability of the averaged model near the breakup. It also explains why the Cosserat model overestimates the breakup time for moderate or large viscosity. Good agreement between 1-D and 3-D numerical results is found. |
Cita | García García, F.J. y Castellanos, A. (1999). 3-D and 1-D dynamics of slender liquid jets: linear analysis with electric field and accuracy of 1-D models near the breakup. En Annual Report Conference on Electrical Insulation and Dielectric Phenomena (1999) (346-349), Austin, USA: IEEE Xplore. |
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