Wave Propagation and Instability in a Circular Semi-Infinite Liquid Jet Harmonically Forced at the Nozzle

1978 ◽  
Vol 45 (3) ◽  
pp. 469-474 ◽  
Author(s):  
D. B. Bogy
Keyword(s):  
Wave Propagation ◽  
Radiation Condition ◽  
Liquid Jet ◽  
Propagation Characteristics ◽  
Frequency Spectra ◽  
One Dimensional ◽  
Wave Numbers ◽  
Complex Wave ◽  
The Stability ◽  
The Waves

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.

scholarly journals Anomalous Anderson localization behavior in gain-loss balanced non-Hermitian systems

Nanophotonics ◽  
2020 ◽  
Vol 10 (1) ◽  
pp. 443-452
Author(s):  
Tianshu Jiang ◽  
Anan Fang ◽  
Zhao-Qing Zhang ◽  
Che Ting Chan
Keyword(s):  
Wave Propagation ◽  
Electromagnetic Waves ◽  
Anderson Localization ◽  
Random Media ◽  
Normal Incidence ◽  
Disordered Media ◽  
One Dimensional ◽  
Gain Loss ◽  
The Waves ◽  
Localization Behavior

AbstractIt has been shown recently that the backscattering of wave propagation in one-dimensional disordered media can be entirely suppressed for normal incidence by adding sample-specific gain and loss components to the medium. Here, we study the Anderson localization behaviors of electromagnetic waves in such gain-loss balanced random non-Hermitian systems when the waves are obliquely incident on the random media. We also study the case of normal incidence when the sample-specific gain-loss profile is slightly altered so that the Anderson localization occurs. Our results show that the Anderson localization in the non-Hermitian system behaves differently from random Hermitian systems in which the backscattering is suppressed.

ELECTROMAGNETIC WAVE PROPAGATION CHARACTERISTICS IN A ONE-DIMENSIONAL METALLIC PHOTONIC CRYSTAL

2008 ◽  
Vol 17 (03) ◽  
pp. 255-264 ◽  
Author(s):  
ARAFA H. ALY ◽  
SANG-WAN RYU ◽  
CHIEN-JANG WU
Keyword(s):  
Wave Propagation ◽  
Electromagnetic Wave ◽  
Photonic Crystal ◽  
Transfer Matrix Method ◽  
Electromagnetic Wave Propagation ◽  
Plasma Frequency ◽  
Dielectric Materials ◽  
Propagation Characteristics ◽  
One Dimensional ◽  
Metallic Photonic Crystal

We theoretically studied electromagnetic wave propagation in a one-dimensional metal/dielectric photonic crystal (1D MDPC) consisting of alternating metallic and dielectric materials by using the transfer matrix method. We performed numerical analyses to investigate the propagation characteristics of a 1D MDPC. We discuss the details of the calculated results in terms of the electron density, the thickness of the metallic layer, different kinds of metals, and the plasma frequency.

Axially Symmetric Waves in Elastic Rods

1960 ◽  
Vol 27 (1) ◽  
pp. 145-151 ◽  
Author(s):  
R. D. Mindlin ◽  
H. D. McNiven
Keyword(s):  
Cross Section ◽  
Three Dimensional ◽  
Circular Cross Section ◽  
Elastic Rods ◽  
Axially Symmetric ◽  
Elastic Rod ◽  
One Dimensional ◽  
Axial Shear ◽  
Wave Numbers ◽  
Complex Wave

A system of approximate, one-dimensional equations is derived for axially symmetric motions of an elastic rod of circular cross section. The equations take into account the coupling between longitudinal, axial shear, and radial modes. The spectrum of frequencies for real, imaginary, and complex wave numbers in an infinite rod is explored in detail and compared with the analogous solution of the three-dimensional equations.

Wave Propagation Characteristics of One Dimensional Rod Phononic Crystal

2012 ◽  
Vol 452-453 ◽  
pp. 1230-1234
Author(s):  
Xiao Jian Liu ◽  
You Hua Fan
Keyword(s):  
Wave Propagation ◽  
Phononic Crystal ◽  
Wave Band ◽  
Propagation Characteristics ◽  
Lumped Mass ◽  
Periodic Load ◽  
One Dimensional ◽  
Lumped Mass Method ◽  
The One ◽  
Discrete Mass

The elastic wave band structures of the one dimensional rod phononic crystal are studied by the lumped-mass method. For the infinite periodic structure, the accuracy of numerical results is influenced by the number of discrete mass. The initial and stop frequecy of the first bandgap need different number of discrete mass to achieve calculation accuracy when two materials composed phononic crystal at different volume ratios. For the finite structure, the different arrangements make different width of the attenuation area at periodic load. The width of the bangap exhibits largely when the external load acts on the matrial with lower denstiy and elastic modulus in front of the higher density and elastic mudulus material.

A One-Dimensional Model of Viscous Liquid Jets Breakup

2011 ◽  
Vol 133 (11) ◽  
Author(s):  
Mahmoud Ahmed ◽  
M. M. Abou-Al-Sood ◽  
Ahmed hamza H. Ali
Keyword(s):  
Growth Rate ◽  
Viscous Liquid ◽  
Liquid Jets ◽  
Liquid Jet ◽  
Dimensional Model ◽  
One Dimensional ◽  
Implicit Finite Difference Scheme ◽  
Wave Numbers ◽  
Breakup Time ◽  
Capillary Liquid

The breakup process of a low speed capillary liquid jet is computationally investigated for different Ohnesorge numbers (Z), wave numbers (K), and disturbance amplitudes (ζo). An implicit finite difference scheme has been developed to solve the governing equations of a viscous liquid jet. The results predict the evolution and breakup of the liquid jet, the growth rate of disturbance, the breakup time and location, and the main and satellite drop sizes. It is found that the predicted growth rate of disturbance, the breakup time, and the main and satellite drop sizes depend mainly on the wave numbers and the Ohnesorge numbers. The results are compared with those available, experimental data and analytical analysis. The comparisons indicate that good agreements can be obtained with the less complex one-dimensional model.

scholarly journals Quasi-parallel propagation of solitary waves in magnetised non-relativistic electron–positron plasmas

2020 ◽  
Vol 86 (3) ◽  
Author(s):  
Michael S. Ruderman
Keyword(s):  
Magnetic Field ◽  
Wave Propagation ◽  
Relativistic Electron ◽  
Solitary Waves ◽  
Nonlinear Waves ◽  
Spatial Variables ◽  
Electron Positron ◽  
Parallel Propagation ◽  
The Stability ◽  
The Waves

We study the propagation of nonlinear waves in non-relativistic electron–positron plasmas. The waves are assumed to propagate at small angles with respect to the equilibrium magnetic field. We derive the equation describing the wave propagation under the assumption that the waves are weakly dispersive and also can weakly depend on spatial variables orthogonal to the equilibrium magnetic field. We obtain solutions of the derived equation describing solitons. Then we study the stability of solitons with respect to transverse perturbations.

scholarly journals Asymptotic stability of porous-elastic system with thermoelasticity of type III

2021 ◽  
Author(s):  
Ilyes Lacheheb ◽  
Salim A. Messaoudi ◽  
Mostafa Zahri
Keyword(s):  
Wave Propagation ◽  
Asymptotic Stability ◽  
Finite Difference ◽  
Elastic System ◽  
Well Posedness ◽  
One Dimensional ◽  
Type Iii ◽  
The Stability ◽  
Theoretical Results ◽  
Finite Difference Techniques

AbstractIn this work, we investigate a one-dimensional porous-elastic system with thermoelasticity of type III. We establish the well-posedness and the stability of the system for the cases of equal and nonequal speeds of wave propagation. At the end, we use some numerical approximations based on finite difference techniques to validate the theoretical results.

A simple model of wave–current interaction

2015 ◽  
Vol 775 ◽  
pp. 328-348 ◽  
Author(s):  
Nicoletta Tambroni ◽  
Paolo Blondeaux ◽  
Giovanna Vittori
Keyword(s):  
Wave Propagation ◽  
Perturbation Approach ◽  
Wave Steepness ◽  
One Dimensional ◽  
Steady Current ◽  
Order Of Magnitude ◽  
Current Interaction ◽  
Viscous Boundary ◽  
The Waves ◽  
Theoretical Results

The interaction between a steady current and propagating surface waves is investigated by means of a perturbation approach, which assumes small values of the wave steepness and considers current velocities of the same order of magnitude as the amplitude of the velocity oscillations induced by wave propagation. The problems, which are obtained at the different orders of approximation, are characterized by a further parameter which is the ratio between the thickness of the bottom boundary layer and the length of the waves and turns out to be even smaller than the wave steepness. However, the solution is determined from the bottom up to the free surface, without the need to split the fluid domain into a core region and viscous boundary layers. Moreover, the procedure, which is employed to solve the problems at the different orders of approximation, reduces them to one-dimensional problems. Therefore, the solution for arbitrary angles between the direction of the steady current and that of wave propagation can be easily obtained. The theoretical results are compared with experimental measurements; the fair agreement found between the model results and the laboratory measurements supports the model findings.

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