University of Illinois Urbana-Champaign

Analytical studies of turbulent friction in annular conduits; effect of inserted pipe on flow capacity of sewers report 2

Nelson, Alan R.; Robertson, J.M.

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https://hdl.handle.net/2142/112046

Description

Title
Analytical studies of turbulent friction in annular conduits; effect of inserted pipe on flow capacity of sewers report 2
Author(s)
  • Nelson, Alan R.
  • Robertson, J.M.
Issue Date
1968-11
Keyword(s)
  • Turbulent Friction
  • Annular Conduits
Abstract
An analytical solution for fully developed turbulent flow in an annular conduit is presented. The solution procedure is somewhat similar to that employed by Deissler and Taylor2* and is performed with the aid of a digital computer. To account for the observed divergence of the velocity traverses of recent investigations with increasing radius ratio, a modified wall law-core law velocity formulation is adopted. The effect of variations in radius ratio, eccentricity, and roughness upon the location of maximum velocity, velocity distribution, and friction are discussed. The radius of maximum velocity is found to be nearer the inner wall for smooth annuli and independent of Reynolds number for values of IF > 40,000. Friction decreases with increased eccentricity but is considerably less affected by changes in the radius ratio. Variations in wall roughness cause the greatest alteration in the flow occurrences in annular conduits. Using the modified two-law velocity distribution, a new prediction of friction is given for the limiting case a à 1. Even though equivalent magnitudes were not achieved for experimental and analytical results, the trends are similar.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 321
  • 1969-0057
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112046
Sponsor(s)/Grant Number(s)
Task 12 of the ASCE Combined Sewer Separation Project, Contract FWPCA No. 14-12-29 for the Federal Water Pollution Control Administration
Copyright and License Information
Copyright 1968 Board of Trustees of the University of Illinois

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Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.