Research Article
Jul 1963
Solving the Equations of Uniform Flow
This article has a reply.
VIEW THE REPLYThis article has a reply.
VIEW THE REPLYThis article has a reply.
VIEW THE REPLYPublication: Journal of the Hydraulics Division
Volume 89, Issue 4
Abstract
All realizable hydraulic profiles associated with the uniform flow of liquid in an open channel are expressible in terms of three simple integrals. The fifteen profiles fall naturally into five classes. Profiles in Classes I and II (M1, M2, M3, S1, S2, S3, C1, C3) are expressible as a combination of the backwater integrals of the first kind; Class III (H2, H3) involves backwater integrals of the second kind; Class IV (A2, A3) involves backwater integrals of the third kind; and Class V (C2, H1, A1) contains only unrealizable or unstable profiles. The profile equation for each of the significant classes is given explicitly in terms of these integrals. Finally, a practical method of computing the backwater integrals is presented. The integral of the second kind is reduced to a simple algebraic function and those of the first and third kinds are expressed in terms of polynomials of moderate order and polylogarithm functions of low order.
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 Hydraulics Division
Volume 89 • Issue 4 • July 1963
Pages: 23 - 38
Copyright
© 1963 American Society of Civil Engineers.
History
Published in print: Jul 1963
Published online: Feb 3, 2021
Permissions
Request permissions for this article.
Authors
Affiliations
William F. Pickard
Gordon McKay Lab., Div. of Engrg. and Applied Physics, Harvard Univ., Cambridge, Mass.
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.
Cited by
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.