Wave Propagation in Mixtures of Solids and Liquids

1980 ◽  
Vol 22 (1) ◽  
pp. 17-20
Author(s):  
A. R. D. Thorley
Keyword(s):  
Experimental Data ◽  
Wave Propagation ◽  
Differential Equations ◽  
Numerical Method ◽  
Method Of Characteristics ◽  
Unsteady Flows ◽  
Pressure Waves ◽  
Transient Pressure ◽  
Solid Matter ◽  
Speed Of Propagation

The differential equations for conservation of mass and linear momentum in unsteady flows of slurries are developed to the point where they can be solved using the numerical method of characteristics. An approximation is introduced which permits the flow velocities of the two components to vary at different rates. Comparisons are made with new experimental data for the amplitude and speed of propagation of transient pressure waves in slurries containing up to 40 per cent by volume of solid matter.

Turbomachinery Waves

1977 ◽  
Vol 28 (1) ◽  
pp. 1-14 ◽  
Author(s):  
J H Horlock ◽  
H Daneshyar
Keyword(s):  
Wave Propagation ◽  
Differential Equations ◽  
Unsteady Flow ◽  
Infinite Number ◽  
Method Of Characteristics ◽  
Wave Flow ◽  
Flow Properties ◽  
The Method Of Characteristics ◽  
Flow Through ◽  
Instantaneous Values

SummaryTwo methods of analysis are developed for the unsteady wave flow through axial turbomachinery of high hub-tip ratio. In the first method, the machine is supposed to consist of an infinite number of small stages. Differential equations for the instantaneous values of flow properties are derived which may be solved directly or by the method of characteristics. Conditions for wave propagation are discussed. Secondly, a model is used in which actuator discs replace the stages and the flow is axial between the stages. This is a good approximation in many compressors in which the leaving angle from the stators is small. Again the method of characteristics may then be used for solving the equations of unsteady flow between the discs.

The Effect from Hole Area on Pressure Waves Produced by a High-Speed Train through Tunnel with Perforated Wall

2011 ◽  
Vol 94-96 ◽  
pp. 1733-1736
Author(s):  
Yuan Gui Mei ◽  
Yong Xing Jia
Keyword(s):  
Numerical Method ◽  
Pressure Wave ◽  
High Speed ◽  
Method Of Characteristics ◽  
Pressure Waves ◽  
High Speed Train ◽  
One Dimensional ◽  
Isentropic Flow ◽  
Perforated Wall ◽  
Hole Area

The perforated wall has great effect on pressure waves produced by high-speed train through a tunnel. In this paper the effect is investigated numerically by the method of characteristics based on one-dimensional unsteady compressible non-isentropic flow theory. The numerical method is validated by experimental results of Netherlands NLR. The effect from hole area in perforated wall is investigated principally and the results shows that the pressure wave is alleviated remarkably in tunnel with perforated wall.

Calculation of Pressure Wave Propagation Through a Tube Junction

1996 ◽  
Vol 210 (3) ◽  
pp. 239-244 ◽  
Author(s):  
M J P William-Louis ◽  
C Tournier
Keyword(s):  
Wave Propagation ◽  
Pressure Wave ◽  
Method Of Characteristics ◽  
Subsonic Flow ◽  
New Method ◽  
Superposition Method ◽  
Pressure Waves ◽  
Incoming Flow ◽  
Governing Equations ◽  
Pressure Losses

This paper describes a new method for the calculation of pressure wave propagation through a junction. The unsteady model, valid for subsonic flow, takes into account the fluid compressibility and pressure losses according to the type of junction. A new method called the ‘branch superposition method’ is used for the numerical calculation, and consists of uncoupling the system of governing equations. During the propagation of pressure waves through a three-tube junction, two branches are inlet or outlet. Therefore, to uncouple the system, one of the two branches with incoming flow is modelled as a source or one of the two branches with outgoing flow as a sink. This method, combined with the method of characteristics, gives the possibility of predicting the propagation of pressure waves through a junction, where the fluid may be initially at rest or not. The model is validated by a comparison with experimental results.

Steady-state modelling method for matrix-reactance frequency converter with boost topology

2011 ◽  
Vol 60 (2) ◽  
pp. 137-148
Author(s):  
Igor Korotyeyev ◽  
Beata Zięba
Keyword(s):  
Fourier Series ◽  
Steady State ◽  
Differential Equations ◽  
Numerical Method ◽  
Frequency Converter ◽  
Double Fourier Series ◽  
Galerkin’S Method ◽  
Galerkin's Method ◽  
Modelling Method ◽  
Three Phase

Steady-state modelling method for matrix-reactance frequency converter with boost topologyThis paper presents a method intended for calculation of steady-state processes in AC/AC three-phase converters that are described by nonstationary periodical differential equations. The method is based on the extension of nonstationary differential equations and the use of Galerkin's method. The results of calculations are presented in the form of a double Fourier series. As an example, a three-phase matrix-reactance frequency converter (MRFC) with boost topology is considered and the results of computation are compared with a numerical method.

scholarly journals Analytical mathematical schemes: Circular rod grounded via transverse Poisson’s effect and extensive wave propagation on the surface of water

Open Physics ◽  
2020 ◽  
Vol 18 (1) ◽  
pp. 545-554
Author(s):  
Asghar Ali ◽  
Aly R. Seadawy ◽  
Dumitru Baleanu
Keyword(s):  
Wave Propagation ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Longitudinal Wave ◽  
Symbolic Computation ◽  
Boussinesq Equation ◽  
Nonlinear Partial Differential Equations ◽  
Wave Model ◽  
Simple Equation ◽  
Partial Differential

AbstractThis article scrutinizes the efficacy of analytical mathematical schemes, improved simple equation and exp(-\text{Ψ}(\xi ))-expansion techniques for solving the well-known nonlinear partial differential equations. A longitudinal wave model is used for the description of the dispersion in the circular rod grounded via transverse Poisson’s effect; similarly, the Boussinesq equation is used for extensive wave propagation on the surface of water. Many other such types of equations are also solved with these techniques. Hence, our methods appear easier and faster via symbolic computation.

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