Research Article
Feb 1964
Long Wave Modification by Linear Transitions
This article has a reply.
VIEW THE REPLYThis article has a reply.
VIEW THE REPLYPublication: Journal of the Waterways and Harbors Division
Volume 90, Issue 1
Abstract
The interactions of long wave systems with three types of linearly varying (with distance) channel transitions are investigated analytically, and the results are shown to be bounded by approximate asymptotic formulas. In particular, the reflection and transmission coefficients are determined for the following three types of transitions: (1) uniform breadth, linearly varying depth, (2) uniform depth, linearly varying breadth, and (3) linearly varying breadth and depth. The method used, which would be valid for some other transition geometrics, is to consider the general analytic form of the long wave systems in the upstream uniform channel section, in the channel transition section, and in the downstream uniform channel section. The expressions for the water surface displacements and slopes valid for adjacent sections then are matched at the two extremities of the transition section. This results in a system of equations that is solved for the reflection and transmission coefficients. The reflection and transmission coefficients can be shown to satisfy the energy conservation requirement. Transitions investigated approximate configurations occurring in nature.
Get full access to this article
View all available purchase options and get full access to this article.
Information & Authors
Information
Published In
Journal of the Waterways and Harbors Division
Volume 90 • Issue 1 • February 1964
Pages: 1 - 29
Copyright
© 1964 American Society of Civil Engineers.
History
Published in print: Feb 1964
Published online: Feb 12, 2021
Permissions
Request permissions for this article.
Authors
Affiliations
Robert G. Dean, AM.ASCE
Research Engr., California Research Corp., La Habra, Calif.
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.
View Options
Get Access
Access content
Please select your options to get access
Log in/Register
Log in via your institution (Shibboleth)
ASCE Members:
Please log in to see member pricing
Purchase
Save for later Item saved, go to cart Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Get Access
Access content
Please select your options to get access
Log in/Register
Log in via your institution (Shibboleth)
ASCE Members:
Please log in to see member pricing
Purchase
Save for later Item saved, go to cart Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.