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

Joint Authors

Karney, Bryan W.
Malekpour, A.

Source

ISRN Applied Mathematics

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-16, 16 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-07-14

Country of Publication

Egypt

No. of Pages

16

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Malekpour, A.& Karney, Bryan W.. 2011. Rapid Filling Analysis of Pipelines with Undulating Profiles by the Method of Characteristics. ISRN Applied Mathematics،Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-509068

Modern Language Association (MLA)

Malekpour, A.& Karney, Bryan W.. Rapid Filling Analysis of Pipelines with Undulating Profiles by the Method of Characteristics. ISRN Applied Mathematics No. 2011 (2011), pp.1-16.
https://search.emarefa.net/detail/BIM-509068

American Medical Association (AMA)

Malekpour, A.& Karney, Bryan W.. Rapid Filling Analysis of Pipelines with Undulating Profiles by the Method of Characteristics. ISRN Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-509068

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-509068