Hostname: page-component-84b7d79bbc-g78kv Total loading time: 0 Render date: 2024-07-28T02:17:48.806Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abedian, B. 1979 Ph.D. thesis, Massachusetts Institute of Technology.
Boumans, A. A. 1957 Physica 23, 1007–1055.
Cooper, W. F. 1953 Brit. J. Appl. Phys. 4 (Suppl. 2), S11–S15.
Deissler, R. G. 1955 NACA Tech. Rep. no. 1210.
Gibson, N. & Lloyd, F. C. 1970a Chem. Engng Sci. 25, 87–95.
Gibson, N. & Lloyd, F. C. 1970b J. Phys. D: Appl. Phys. 3, 563–573.
Goodfellow, H. D. & Graydon, W. F. 1968 Chem. Engng Sci. 23, 1267–1280.
Hampel, B. & Luther, H. 1957 Chemie-Ing.-Tech. 29, 323–329.
Helmholtz, H. 1879 Ann. Physik und Chemie 243, 337–382.
Huber, P. W. & Sonin, A. A. 1977 J. Colloid Interface Sci. 61, 109–125.
Klinkenberg, A. 1959 Genie Chimique 82, 149–157.
Klinkenberg, A. 1964 Chemie-Ing.-Tech. 36, 283–290.
Klinkenberg, A. & van der Minne, J. L. 1958 Electrostatics in the Petroleum Industry. Elsevier.
Koszman, I. & Gavis, J. 1962a Chem. Engng Sci. 17, 1013–1022.
Koszman, I. & Gavis, J. 1962b Chem. Engng Sci. 17, 1023–1040.
Laufer, J. 1954 NACA Rep. no. 1174.
Petukhov, B. S. 1970 In Advances in Heat Transfer (ed. J. P. Hartnett & T. F. Irvine), vol. 6. Academic.
Pribylov, V. N. & Chernyi, L. T. 1979 Fluid Dynamics 14, 844–849.
Quarmby, A. & Anand, R. K. 1969 J. Fluid Mech. 38, 433–455.
Reichardt, H. 1951 Arch. Ges. Wärmetechnik 6/7, 129–143.
Schlichting, H. 1979 Boundary Layer Theory, 7th edn. McGraw-Hill.
Schwing, R. C. 1970 J. Colloid Interface Sci. 32, 432–443.
Spalding, D. B. 1961 J. Appl. Mech. 28, 455–457.
Touchard, G. 1978 J. Electrostatics 5, 463–476.