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Theory for electric charging in turbulent pipe flow

Published online by Cambridge University Press:  20 April 2006

Behrouz Abedian  and
Ain A. Sonin
Behrouz Abedian
Affiliation:
Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, U.S.A. Present address: Mechanical Engineering Department, Tufts University, Medford, Massachusetts 02155, U.S.A.
Ain A. Sonin
Affiliation:
Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, U.S.A.
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Abstract

Basec on somewhat simplified profiles of turbulent eddy diffusivity and mean vcLacity in turbulent flow, an expression is derived for the convection current in a pipe where electrification occurs at the wall. The expression is in explicit analytic form, and applies for all turbulent Reynolds numbers and all fluid conductivities, from conditions where the Debye length is small compared with the diffusion sublayer (typical aqueous solutions) to conditions where the Debye length is large compared with the sublayer (typical liquid hydrocarbons).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 120 , July 1982 , pp. 199 - 217
Copyright
© 1982 Cambridge University Press

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