scholarly journals Analysis of Unsteady Flow in Complex Pipe System by the Method of Characteristics

1998 ◽  
Vol 3 (1) ◽  
pp. 27-36
Author(s):  
Tekin Tezcan ◽  
Ümit Gökkuş ◽  
Gültekin Sınır
Keyword(s):  
Unsteady Flow ◽  
Method Of Characteristics ◽  
Pipe System ◽  
The Method Of Characteristics

scholarly journals Study of Unsteady Flow in a Heat Exchanger by the Method of Characteristics

1992 ◽  
Vol 114 (4) ◽  
pp. 459-463 ◽  
Author(s):  
Yuan Mao Huang
Keyword(s):  
Heat Exchanger ◽  
Unsteady Flow ◽  
Transfer Rate ◽  
Method Of Characteristics ◽  
Governing Equations ◽  
One Dimensional ◽  
The Method Of Characteristics ◽  
Improvement Factor ◽  
The One ◽  
Good Agreement

The one-dimensional, unsteady flow in an air-to-air heat exchanger is studied. The governing equations are derived and the method of characteristics with the uniform interval scheme is used in the analysis. The effect of the fin improvement factor on the air temperature in the heat exchanger and the heat transfer rate of the heat exchanger, and air properties in the heat exchanger are analyzed. The numerical results are compared and show good agreement with the available data.

scholarly journals Rapid Filling Analysis of Pipelines with Undulating Profiles by the Method of Characteristics

2011 ◽  
Vol 2011 ◽  
pp. 1-16 ◽  
Author(s):  
A. Malekpour ◽  
B. W. Karney
Keyword(s):  
Experimental Data ◽  
Method Of Characteristics ◽  
Computational Grid ◽  
Filling Process ◽  
Pipe System ◽  
The Method Of Characteristics ◽  
Proposed Model ◽  
Water Conveyance ◽  
Filling Analysis ◽  
Transient Events

On the premise of water hammer theory, a numerical model is proposed for simulating the filling process in an initially empty water conveyance pipeline with an undulating profile. Assuming that the pipeline remains full and ignoring air and water interactions in the already filled pipeline, the ongoing filling is simulated using the method of characteristics on an adaptive computational grid. The performance of the model is verified using previously published experimental and rigid column data. The model nicely replicates published experimental data. The model shows that the movement of the filling front into the system can be assumed as a rigid column as long as the flow away from the filling front is undisturbed elsewhere. Furthermore, applying the model to a hypothetical pipe system with an inline-partially open valve shows that the proposed model is robust enough to capture the transient events initiated within the moving column, a vital capability that the existing rigid water column models lack.

The interaction of a fibre tangle with an airflow

1967 ◽  
Vol 27 (3) ◽  
pp. 561-580 ◽  
Author(s):  
Paul A. Taub
Keyword(s):  
Unsteady Flow ◽  
Numerical Solution ◽  
Analytical Model ◽  
Method Of Characteristics ◽  
Solution Procedure ◽  
Governing Equations ◽  
Stress Strain ◽  
One Dimensional ◽  
The Method Of Characteristics ◽  
Flow Configurations

An analytical model of the interaction of a fibre tangle with an airflow is proposed. This model replaces the discrete fibres by a continuum medium with a non-linear stress-strain law. The governing equations have been examined for one-dimensional unsteady flow configurations and have been found to possess five characteristic directions.A numerical-solution procedure, based upon the method of characteristics, has been outlined and applied to the flow within a dilation chamber. A fibre sample is located at the centre of the chamber, which is alternately pressurized and depressurized.

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.

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