A mathematical model for wave propagation in elastic tubes with inhomogeneities: Application to blood waves propagation

2007 ◽  
Vol 236 (2) ◽  
pp. 131-140 ◽  
Author(s):  
R.A. Kraenkel ◽  
S. Noubissie ◽  
P. Woafo
Keyword(s):  
Mathematical Model ◽  
Wave Propagation ◽  
Elastic Tubes ◽  
Waves Propagation

Damping Effect on Mechanical Waves in an Elastic Solid Expanded Tubular

2006 ◽  
Vol 129 (4) ◽  
pp. 698-712
Author(s):  
A. Karrech ◽  
A. Seibi ◽  
T. Pervez
Keyword(s):  
Mathematical Model ◽  
Wave Propagation ◽  
Pressure Wave ◽  
Elastic Solid ◽  
Tube System ◽  
Structure Interaction ◽  
Damping Effect ◽  
Elastic Tubes ◽  
Mechanical Waves ◽  
Critical Regions

The present paper studies the dynamics of submerged expanded elastic tubes due to postexpansion sudden mandrel release known as pop-out phenomenon. A mathematical model describing the dynamics of the borehole-fluid-tube system is presented. Coupling of the fluid-structure interaction and damping effects were taken into consideration. An analytical solution for the displacement, stress, and pressure wave propagation in the fluid-tube system was obtained. The developed model predicted localized critical regions where the structure might experience failure.

Coronal waves: propagation in the multi-fluid description

2005 ◽  
Vol 364 (1839) ◽  
pp. 537-540 ◽  
Author(s):  
Redouane Mecheri ◽  
Eckart Marsch
Keyword(s):  
Wave Propagation ◽  
Plane Wave ◽  
Perturbation Analysis ◽  
Fluid Model ◽  
Wave Perturbation ◽  
Fourier Plane ◽  
Electron Inertia ◽  
Resonance Frequencies ◽  
Wave Effects ◽  
Waves Propagation

We study wave propagation in the low-β coronal plasma using a collisionless multi-fluid model. Neglecting the electron inertia, this model allows us to take into account ion-cyclotron wave effects that are absent in the magnetohydrodynamics model. To accomplish this, we perform a Fourier plane-wave perturbation analysis. Solving numerically the dispersion relations obtained from a two- and three-fluid model, dispersion curves for representative parameters of the solar corona are presented. The results reveal the presence of resonance frequencies that might play a role in coronal heating.

scholarly journals The acoustic waves propagation in a cylindrical waveguide with the laminar flow

2018 ◽  
Vol 211 ◽  
pp. 04005
Author(s):  
Alexander Petrov ◽  
Valentina Rumyantseva
Keyword(s):  
Wave Propagation ◽  
Laminar Flow ◽  
Acoustic Waves ◽  
Approximate Analytical Solution ◽  
Acoustic Oscillations ◽  
Acoustic Wave Propagation ◽  
Inhomogeneous Flow ◽  
Waves Propagation ◽  
The Individual ◽  
Hydrodynamics Equations

The problem of modeling of acoustic wave propagation in inhomogeneous flow is considered. There is an approximate analytical solution of the hydrodynamics equations in the presence of annular acoustic oscillations source in the case of laminar flow. Special attention is to paid to the propagation of acoustic waves modes. The amplitudes and phases dependences of the individual modes on the Mach number in the linear approximation were established.

Impact of Rough Wall Surface on Electromagnetic Wave Propagation Characteristics in Mine Tunnels

2011 ◽  
Vol 301-303 ◽  
pp. 1417-1421
Author(s):  
Shan Hua Yao ◽  
Xian Liang Wu
Keyword(s):  
Wave Propagation ◽  
Electromagnetic Wave ◽  
Coal Mine ◽  
Electromagnetic Waves ◽  
Electromagnetic Wave Propagation ◽  
Rough Wall ◽  
Wall Surface ◽  
Propagation Characteristics ◽  
Waves Propagation ◽  
Mine Tunnels

In this paper ,the mine tunnels is regard as wave-guide which contains kinds of un-beneficial medium, we have study the formulas of electromagnetic waves propagation attenuation and roughness attenuation, the relations between propagation attenuation and roughness and frequency were simulated. The results show that the influence of propagation attenuation in lower frequency is more obvious, and roughness attenuation is increased rapidly as roughness of coal mine tunnels increasing. But tilted attenuation is stronger than roughness attenuation as propagation frequency increasing.

Predictive removal of scattered noise

Geophysics ◽  
2006 ◽  
Vol 71 (2) ◽  
pp. V41-V49 ◽  
Author(s):  
Gérard C. Herman ◽  
Colin Perkins
Keyword(s):  
Mathematical Model ◽  
Wave Propagation ◽  
Surface Wave ◽  
Seismic Data ◽  
Coherent Noise ◽  
Data Set ◽  
Near Surface ◽  
Unique Data ◽  
Surface Wave Propagation ◽  
Petroleum Development

Land seismic data can be severely contaminated with coherent noise. We discuss a deterministic technique to predict and remove scattered coherent noise from land seismic data based on a mathematical model of near-surface wave propagation. We test the method on a unique data set recorded by Petroleum Development of Oman in the Qarn Alam area (with shots and receivers on the same grid), and we conclude that it effectively reduces scattered noise without smearing reflection energy.

Non-equilibrium Thermodynamics of Fast Traveling Waves in a Catalytic Fixed Bed. Emergence of Near-equilibrium Spatiotemporal Dissipative Structure

2018 ◽  
Vol 43 (3) ◽  
pp. 221-235
Author(s):  
Alexander P. Gerasev
Keyword(s):  
Mathematical Model ◽  
Wave Propagation ◽  
Traveling Wave ◽  
Dissipative Structure ◽  
Fixed Bed ◽  
Dissipative Structures ◽  
Catalytic Reactors ◽  
Linear Ordinary Differential Equations ◽  
Physical And Chemical ◽  
Non Equilibrium

AbstractThis work presents the results of the mathematical modeling of the fast traveling wave propagation phenomenon in the fixed-bed catalytic reactors according to a simple (basic) mathematical model with a reversible reaction. Qualitative and quantitative research is used to study the behavior of separatrices’ trajectories of the system’s non-linear ordinary differential equations. Special attention has been paid to the non-equilibrium thermodynamic methods. The entropy balance equation is constructed and analyzed under the assumption of the simple mathematical model of physical and chemical processes. The influence of key physical and chemical parameters on the fast traveling wave properties is studied. The phenomenon of fast traveling wave propagation in the fixed-bed catalytic reactors provides a vivid example of a spatiotemporal dissipative structure in active heterogeneous medium. These dissipative structures are shown to exist near the thermodynamic equilibrium.

scholarly journals Rigorous 2D Model for Study of Pulsed and Monochromatic Waves Propagation Near the Earth’s Surface

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Seil S. Sautbekov ◽  
Yuriy K. Sirenko ◽  
Nataliya P. Yashina ◽  
Aleksey A. Vertiy
Keyword(s):  
Wave Propagation ◽  
Electromagnetic Wave ◽  
Electromagnetic Wave Propagation ◽  
Model Problem ◽  
Initial Boundary ◽  
Initial Boundary Value Problems ◽  
Practical Applications ◽  
Waves Propagation ◽  
Initial Boundary Value ◽  
2D Model

A model problem considered in the paper allows solving rather complex 2D problems of the electromagnetic wave propagation with a required accuracy using conventional personal computers. The problems are of great importance for the theory and practical applications. The association of FDTD schemes with exact absorbing conditions makes up the basis for constructing models of the kind. This approach reduces the original open initial boundary value problems to the equivalent closed problems which can be solved numerically using the standard grid methods.

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