Shallow-Water Theory and Channel Flow with Hydraulic Jump: Non-Steady Consideration

Asuquo Eyo

Modern Applied Science, 2012, vol. 6, issue 1, 50

Abstract: We examine the classical hydraulic jump in an open channel flow and show that it can be qualitatively understood using the model, namely, equation of shallow-water type. Based on this model the relation for the speed of propagation of the jump in terms of depth ratio is obtained. We employ the method of characteristics and the Riemann invariants to determine the precise location and time of the onset of the hydraulic jump. Our analysis reveals that the location xJ­ and time tJ of the jump formation are influenced by the initial acceleration of the fluid. Specializations are later made to the cases where the initial acceleration is positive and finite, negative, infinite. Results are obtained in each of these cases.

Date: 2012
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://ccsenet.org/journal/index.php/mas/article/download/11749/9539 (application/pdf)
https://ccsenet.org/journal/index.php/mas/article/view/11749 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ibn:masjnl:v:6:y:2012:i:1:p:50

Access Statistics for this article

More articles in Modern Applied Science from Canadian Center of Science and Education Contact information at EDIRC.
Bibliographic data for series maintained by Canadian Center of Science and Education ().