The effect of viscous relaxation on the spatiotemporal stability of capillary jets
@article{Sevilla2011TheEO, title={The effect of viscous relaxation on the spatiotemporal stability of capillary jets}, author={Alejandro Sevilla}, journal={Journal of Fluid Mechanics}, year={2011}, volume={684}, pages={204 - 226} }
Abstract The linear spatiotemporal stability properties of axisymmetric laminar capillary jets with fully developed initial velocity profiles are studied for large values of both the Reynolds number, $\mathit{Re}= Q/ (\lrm{\pi} a\nu )$, and the Froude number, $\mathit{Fr}= {Q}^{2} / ({\lrm{\pi} }^{2} g{a}^{5} )$, where $a$ is the injector radius, $Q$ the volume flow rate, $\nu $ the kinematic viscosity and $g$ the gravitational acceleration. The downstream development of the basic flow and its…
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References
SHOWING 1-10 OF 54 REFERENCES
Aerodynamic effects in the break-up of liquid jets: on the first wind-induced break-up regime
- PhysicsJournal of Fluid Mechanics
- 2005
We present both numerical and analytical results from a spatial stability analysis of the coupled gas–liquid hydrodynamic equations governing the first wind-induced (FWI) liquid-jet break-up regime.…
Linear stability of co-flowing liquid–gas jets
- PhysicsJournal of Fluid Mechanics
- 2001
A temporal, inviscid, linear stability analysis of a liquid jet and the co-flowing gas stream surrounding the jet has been performed. The basic liquid and gas velocity profiles have been computed…
The hydrodynamic stability of a thin film of liquid in uniform shearing motion
- PhysicsJournal of Fluid Mechanics
- 1960
The stability problem for a thin film of liquid having a linear mean-velocity profile and bounded by a fixed wall and free surface is solved asymptotically for large values of the Reynolds number R.…
On the laminar flow in a free jet of liquid at high Reynolds numbers
- Physics, EngineeringJournal of Fluid Mechanics
- 1968
This paper is concerned with the jet of liquid, open to the atmosphere, that emerges from a two-dimensional channel in which there is Poiseuille flow far upstream, the flow being driven by an applied…
Computational and experimental analysis of dynamics of drop formation
- Physics
- 1999
Dynamics of formation of a drop of a Newtonian liquid from a capillary tube into an ambient gas phase is studied computationally and experimentally. While this problem has previously been studied…
Absolute and convective instability of a relaxational plane liquid jet
- PhysicsJournal of Fluid Mechanics
- 2003
The stability of a plane relaxational liquid jet has been studied theoretically and experimentally through linear stability analysis and flow visualizations. The relaxational liquid jet is obtained…
Generation and breakup of Worthington jets after cavity collapse. Part 2. Tip breakup of stretched jets
- PhysicsJournal of Fluid Mechanics
- 2010
The capillary breakup of the high-speed Worthington jets ejected after a cavity collapse in water occurs due to the high-Reynolds-number version of the capillary end-pinching mechanism first…
GLOBAL INSTABILITIES IN SPATIALLY DEVELOPING FLOWS: Non-Normality and Nonlinearity
- Physics
- 2005
The objective of this review is to critically assess the different approaches developed in recent years to understand the dynamics of open flows such as mixing layers, jets, wakes, separation…
The instability of sheared liquid layers
- PhysicsJournal of Fluid Mechanics
- 1982
A prescribed shear stress applied to the free surface of a thin liquid layer sets up a steady shear flow. When the shear flow has a linear velocity, profile, Miles, using asymptotic analysis, finds…
Nonlinear global modes in hot jets
- Physics, Environmental ScienceJournal of Fluid Mechanics
- 2006
Since the experiments of Monkewitz et al. (J. Fluid Mech. vol. 213, 1990, p. 611), sufficiently hot circular jets have been known to give rise to self-sustained synchronized oscillations induced by a…