Linear Wave Phenomena

2011 ◽  
pp. 11-40
Author(s):  
A. J. Hermans
Keyword(s):  
Linear Wave ◽  
Wave Phenomena

The influence of mean shear on Alfvén-internal wave propagation

1976 ◽  
Vol 15 (2) ◽  
pp. 197-222
Author(s):  
R. J. Hartman
Keyword(s):  
Three Dimensional ◽  
Dimensional System ◽  
Linear Wave ◽  
Mean Flow ◽  
Wave Processes ◽  
Initial Value ◽  
Initial Wave ◽  
Wave Phenomena ◽  
Three Dimensional System

This paper uses the general solution of the linearized initial-value problem for an unbounded, exponentially-stratified, perfectly-conducting Couette flow in the presence of a uniform magnetic field to study the development of localized wave-type perturbations to the basic flow. The two-dimensional problem is shown to be stable for all hydrodynamic Richardson numbers JH, positive and negative, and wave packets in this flow are shown to approach, asymptotically, a level in the fluid (the ‘isolation level’) which is a smooth, continuous, function of JH that is well defined for JH < 0 as well as JH > 0. This system exhibits a rich complement of wave phenomena and a variety of mechanisms for the transport of mean flow kinetic and potential energy, via linear wave processes, between widely-separated regions of fluid; this in addition to the usual mechanisms for the absorption of the initial wave energy itself. The appropriate three-dimensional system is discussed, and the role of nonlinearities on the development of localized disturbances is considered.

scholarly journals A new solution approach to the Serre equations

2020 ◽  
Author(s):  
T S Jang
Keyword(s):  
Solitary Wave ◽  
Vertical Wall ◽  
High Amplitude ◽  
Solution Procedure ◽  
Linear Wave ◽  
Linear Interaction ◽  
Solution Approach ◽  
Non Linear ◽  
Vertical Walls ◽  
Wave Phenomena

Abstract This paper concerns constructing a semi-analytic solution procedure for integrating the fully non-linear Serre equations (or 1D Green–Naghdi equations for constant water depth). The validity of the solution procedure is checked by investigating a moving solitary wave for which the analytical solution is known. The semi-analytic procedure constructed in this study is confirmed to be good at observing non-linear wave phenomena of the collision of a sufficiently high-amplitude solitary wave with a vertical wall. The simulated results are in a good agreement with data of other authors. Further, the procedure simulates the non-linear interaction of four solitary waves, which enables us to investigate the repeated reflection of a single solitary wave between two vertical walls.

scholarly journals Linear Wave Phenomena in Plasmas (4)

1977 ◽  
Vol 38 (3) ◽  
pp. 303-327 ◽  
Author(s):  
Toshiro Ohnuma
Keyword(s):  
Linear Wave ◽  
Wave Phenomena

scholarly journals Linear wave Phenomena in Plasmas

1977 ◽  
Vol 37 (6) ◽  
pp. 452-475
Author(s):  
Toshiro Ohnuma
Keyword(s):  
Linear Wave ◽  
Wave Phenomena

Nonlinear and linear wave phenomena in narrow pipes

2010 ◽  
Vol 56 (4) ◽  
pp. 429-434 ◽  
Author(s):  
O. V. Rudenko ◽  
A. B. Shvartsburg
Keyword(s):  
Linear Wave ◽  
Wave Phenomena

scholarly journals Abundant novel solitary wave Solutions of two-mode Sawada-Kotera model and its Applications

2021 ◽  
Author(s):  
Ammar Oad ◽  
Muhammad Arshad ◽  
Muhammad Shoaib ◽  
Dianchen Lu ◽  
Li Xiaohong
Keyword(s):  
Applied Sciences ◽  
Fluid Dynamics ◽  
Solitary Wave ◽  
Acoustic Waves ◽  
Linear Wave ◽  
Solitary Wave Solutions ◽  
Ion Acoustic Waves ◽  
Wave Solutions ◽  
Physical Phenomena ◽  
Wave Phenomena

The Sawada-Kotera equations illustrating the non-linear wave phenomena in shallow water, ion-acoustic waves in plasmas, fluid dynamics etc. In this article, the two-mode Sawada-Kotera equation (tmSKE) occurring in fluid dynamics is addresses. The improved F-expansion and generalized exp$(-\phi(\zeta))$-expansion methods are utilized in this model and abundant of solitary wave solutions of different kinds such as bright and dark solitons, multi peak soliton, breather type waves, periodic solutions and other wave results are obtained. These achieved abundant novel solitary and other wave results have significant applications in fluid dynamics, applied sciences and engineering. By granting appropriate values to parameters, the structures of few results are presented in which many structures are novel. The graphical moments of few solutions helps the engineers and scientist for understanding the physical phenomena of this model. To explain the novelty between the present results and the previously attained results, a comparative study has been carried out. Furthermore, the executed techniques can be employed for further studies to explain the realistic phenomena arising in fluid dynamics correlated with any physical and engineering problems.

scholarly journals Linear Wave Phenomena in Plasmas (3)

1977 ◽  
Vol 38 (2) ◽  
pp. 159-204
Author(s):  
Toshiro Ohnuma
Keyword(s):  
Linear Wave ◽  
Wave Phenomena

Wave propagation in wet steam

2004 ◽  
Vol 218 (8) ◽  
pp. 871-882 ◽  
Author(s):  
V Petr
Keyword(s):  
Wave Equations ◽  
Burger Equation ◽  
Relaxation Processes ◽  
Linear Wave ◽  
Wet Steam ◽  
Dissipative Effects ◽  
Non Linear ◽  
Linear Wave Equations ◽  
Wet Steam Flow ◽  
Wave Phenomena

Linear wave equations for equilibrium and subcooled wet steam are introduced in the paper, accounting for thermal and inertial relaxation processes between the vapour and droplets. Relations for sonic velocity and absorption were found to be frequency dependent. Analysis of propagation of a step pressure disturbance suggests that the frozen speed of sound should be used to define, for example, the direction of characteristics and conditions for choking of a wet steam flow. It is concluded further that in a near-equilibrium approximation the non-linear wave phenomena in a wet steam can be analysed by the Korteweg-deVries-Burger equation, accounting for non-linear, dispersive and dissipative effects.

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