Premium
Electrokinetic‐potential fluctuations produced by pipe flow turbulence
Author(s) -
Chuang Hsing,
Cermak J. E.
Publication year - 1967
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690130216
Subject(s) - electrokinetic phenomena , turbulence , mechanics , anemometer , reynolds stress , pipe flow , reynolds number , physics , chézy formula , streaming current , electro osmosis , flow velocity , vector field , flow (mathematics) , classical mechanics , open channel flow , chemistry , electrophoresis , chromatography
The distribution across a pipe of turbulent intensities, shearing stress, and energy spectra are inferred from measured electrokinetic‐potential fluctuations in a fully developed flow of distilled water in a 2.54‐cm. diameter glass pipe. These quantities are shown to be in good agreement with those obtained by Laufer and Sandborn with hot‐wire anemometers for air flows at the same mean Reynolds number. A tentative analytical model of the phenomenon is constructed and analyzed by Maxwell's electrodynamic field equations for a nonmagnetized medium moving with a velocity which is much smaller than the velocity of light. A set of equations governing the interrelation between the electrokinetic‐potential fluctuations and the turbulent velocity‐fluctuation components of the flow field in fully developed pipe flow is deduced. Fourier transforms are then introduced and simple relations between the electrokinetic‐potential fluctuations and velocity fluctuations are obtained.