The stability of high speed laminar Newtonian jets is studied as a function of ambient air pressure. For Weber numbers less than 5.3 (based on air density) air pressure has no effect on stability. Ambient viscosity, through the effect of shear stresses acting on the jet surface, gives rise to the maximum in the breakup curve. For large Weber numbers ambient pressure effects can alter, and eventually control, the appearance of the maximum.Liquid jets ejected from long capillaries break up into droplets in a manner determined by the physical properties of the liquid and the ambient medium. In an earlier study ( 2 ) jets of Newtonian fluids were ejected into stagnant air at atmospheric pressures, and attention was confined to the properties and dynamics of the jet. In the present work we examine the role played by the ambient medium in destabilizing the jet, and in particular, the effect of ambient pressure.Jet stability is usually characterized through a breakup curve, which shows the dependence upon jet velocity of the coherent length of the jet. At low velocities no dependence on ambient pressure is observed, and the breakup length increases linearly with velocity. As the jet velocity is increased the effect of the ambient medium is observed in the appearance of a pressure dependence of the breakup curve. A maximum breakup length occurs for each pressure, the low pressure curves being the more stable. All these observations seem quite reasonable, and one might think that the effect of the ambient medium is well established in view of the long history of studies of jet stability. (For a historical surve , see reference 1).which one may determine quantitatively the effect of the ambient medium on jet stability.Two theories exist which have relevance to this study.Weber (11) examined the stability of a laminar Newtonian jet ejected into a stagnant inviscid atmosphere. The effect of the interaction between the jet and its surroundings is the establishment of a pressure distribution which accelerates the growth of certain disturbances. Weber's theory predicts the existence of a maximum in the breakup curve and attributes the existence of the maximum to aerodynamic pressure effects. Grant's experiments (2) showed that Weber's theory is not quantitatively accurate, and, in fact, is quite bad under typical experimental conditions. Tomotika (10) examined the stability of a stationary cylinder of liquid surrounded by a second liquid, both liquids being viscous. Thus the viscosity of the ambient medium was accounted for. However, since the jet was assumed stationary, the effect of viscous drag on the jet was not accounted for, and Tomotika's theory would lead to a linear breakup curve showing no maximum. Tomotika's theory does allow an estimate of the importance of the viscosity of the ambient medium to be made, and Meister and Scheele (6) have recently reviewed this work. It is a fact, however, that no brea h up data exist fromIn considering the interaction of a jet with its surroundings, and in trying to plan a well-defin...
On the basis of our present knowledge of the distribution of natural haze particles in the atmosphere, the relation between backscatter intensity and the visual range, or the extinction coefficient, has been analyzed. It can be shown that the various processes which cause the changes in visibility (increasing particle number, changes in particle size distribution, etc.) result in rather different backscatter conditions. Only by a combination of such processes is it possible to explain a relation between backscatter and extinction coefficient as it can be derived from experimental data. It therefore becomes clear that such a relation cannot be a unique one and that it will change from one situation to another.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
customersupport@researchsolutions.com
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.