Article
Normal-mode linear analysis and initial conditions of capillary jets
Author/s | García García, Francisco Javier
![]() ![]() ![]() ![]() ![]() ![]() ![]() González García, Heliodoro ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Física Aplicada I Universidad de Sevilla. Departamento de Física Aplicada III |
Publication Date | 2008-04-25 |
Deposit Date | 2023-07-13 |
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Abstract | The normal-mode linear analysis of an axisymmetric infinite capillary jet is generalized to account for arbitrary initial conditions. An exhaustive study of the dispersion relation reveals the parametric behaviour of all ... The normal-mode linear analysis of an axisymmetric infinite capillary jet is generalized to account for arbitrary initial conditions. An exhaustive study of the dispersion relation reveals the parametric behaviour of all eigenvalues and their corresponding normal modes. The two capillary modes (dominant and subdominant) are found to be necessary and sufficient to describe any possible non-recirculating initial conditions. An infinite set of other modes accounts for initial conditions with recirculating velocity field. The predictions of the normal-mode analysis are contrasted against previous computations of the initial-value problem, previous experiments, and our own one-dimensional numerical simulations. Contrary to the claim of some authors, the normal-mode analysis accurately predicts the initial transient with non-exponential growth of the disturbance amplitude observed in previous works. Simple and accurate formulae for the duration of the initial transient are deduced, with emphasis on improving the growth-rate measurement. |
Funding agencies | Ministerio de Ciencia y Tecnología (MCYT). España Junta de Andalucía |
Project ID. | FIS 2006-03645
![]() FQM-421 ![]() |
Citation | García García, F.J. y González García, H. (2008). Normal-mode linear analysis and initial conditions of capillary jets. Journal of Fluid Mechanics, 602, 81-117. https://doi.org/10.1017/S0022112008000724. |
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