Wave Propagation and Instability in a Circular Semi-Infinite Liquid Jet Harmonically Forced at the NozzleSource: Journal of Applied Mechanics:;1978:;volume( 045 ):;issue: 003::page 469Author:D. B. Bogy
DOI: 10.1115/1.3424347Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The linearized form of the inviscid, one-dimensional Cosserat jet equations derived by Green [6] are used to study wave propagation in a circular jet with surface tension. The frequency spectra are shown for complex wave numbers for a complete range of Weber numbers. The propagation characteristics of the waves are studied in order to determine which branches of the frequency spectra to use in the semi-infinite jet problem with harmonic forcing at the nozzle. Two of the four branches are eliminated by a radiation condition that energy must be outgoing at infinity; the remaining two branches are used to satisfy the nozzle boundary conditions. The variation of the jet radius along its length is shown graphically for various Weber numbers and forcing frequencies. The stability or instability is explained in terms of the behavior of the two propagating phases.
keyword(s): Wave propagation , Nozzles , Bifurcation , Spectra (Spectroscopy) , Waves , Boundary-value problems , Equations , Frequency , Radiation (Physics) , Stability AND Surface tension ,
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contributor author | D. B. Bogy | |
date accessioned | 2017-05-08T23:04:05Z | |
date available | 2017-05-08T23:04:05Z | |
date copyright | September, 1978 | |
date issued | 1978 | |
identifier issn | 0021-8936 | |
identifier other | JAMCAV-26098#469_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/90633 | |
description abstract | The linearized form of the inviscid, one-dimensional Cosserat jet equations derived by Green [6] are used to study wave propagation in a circular jet with surface tension. The frequency spectra are shown for complex wave numbers for a complete range of Weber numbers. The propagation characteristics of the waves are studied in order to determine which branches of the frequency spectra to use in the semi-infinite jet problem with harmonic forcing at the nozzle. Two of the four branches are eliminated by a radiation condition that energy must be outgoing at infinity; the remaining two branches are used to satisfy the nozzle boundary conditions. The variation of the jet radius along its length is shown graphically for various Weber numbers and forcing frequencies. The stability or instability is explained in terms of the behavior of the two propagating phases. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Wave Propagation and Instability in a Circular Semi-Infinite Liquid Jet Harmonically Forced at the Nozzle | |
type | Journal Paper | |
journal volume | 45 | |
journal issue | 3 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.3424347 | |
journal fristpage | 469 | |
journal lastpage | 474 | |
identifier eissn | 1528-9036 | |
keywords | Wave propagation | |
keywords | Nozzles | |
keywords | Bifurcation | |
keywords | Spectra (Spectroscopy) | |
keywords | Waves | |
keywords | Boundary-value problems | |
keywords | Equations | |
keywords | Frequency | |
keywords | Radiation (Physics) | |
keywords | Stability AND Surface tension | |
tree | Journal of Applied Mechanics:;1978:;volume( 045 ):;issue: 003 | |
contenttype | Fulltext |