Premium
Determination of Equivalent Radii for Half‐Tube and Whole‐Tube Drains in Contact With an Impermeable Barrier
Author(s) -
Warrick A. W.,
Kirkham Don
Publication year - 1968
Publication title -
soil science society of america journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.836
H-Index - 168
eISSN - 1435-0661
pISSN - 0361-5995
DOI - 10.2136/sssaj1968.03615995003200040012x
Subject(s) - radius , tube (container) , circumference , plane (geometry) , thermal conduction , mechanics , physics , materials science , geometry , mathematics , thermodynamics , composite material , computer security , computer science
For soil‐drainage problems, we prove that a half‐tube of radius a , the diameter of which is coincident with a plane barrier, is equivalent to a whole‐tube drain of a smaller radius, b = 2 a /π = 0.6366 a , installed with its circumference touching the same plane barrier. The value 0.6366 a lies between the limits 0.5 a and 1.0 a found by Kirkham in 1947. The result is applicable by analogy to all types of potential problems, such as those of electricity and heat conduction. The result is useful for applying theoretical results, found for half tubes, to whole tubes as used in practice.