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Turbulent and laminar pipe flow distorted by magnetic forces

Published online by Cambridge University Press:  29 March 2006

A. J. Yule
Affiliation:
Department of Engineering, University of Warwick, Coventry, England[dagger] Present address: Department of Chemical Engineering and Fuel Technology, University of Sheffield, England.

Abstract

A flow of an electrolyte in a seventy-diameter length of round pipe is subjected to a two-dimensional electric current and magnetic field which give a controllable streamwise electromagnetic body force. As the body-force distribution is axisymmetric and the effects of induced currents are negligible the fully developed pipe flow is axisymmetric and longitudinally homogeneous, but it can have severely distorted mean velocity and turbulence profiles. Measurements of the mean velocity and turbulence intensity are presented for different levels of distortion and the results are discussed with reference to classical turbulence theories. The inadequacy of these theories is thus demonstrated. The extra degree of freedom provided by the body force combines with the relative simplicity of the fully developed flow to give a useful tool for investigating the nature of shear-flow turbulence and for studying the assumptions involved in analytical approaches. The technique also produces distorted laminar pipe flows with inflexion-point velocity profiles, which are of interest in stability studies.

Type
Research Article
Copyright
© 1975 Cambridge University Press

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References

Brodkey, R. S., Nychas, S. G., Tanake, J. L. & Wallace, J. M. 1973 Turbulent energy production, dissipation and transfer. Phys. Fluids, 16, 20102011.Google Scholar
Hall, W. B. & Jackson, J. D. 1969 Laminarization of a turbulent pipe flow by buoyancy forces. A.S.M.E.-A.I.Ch.E. Heat Transfer Conf., Minneapolis, A.S.M.E. Paper, 69-HT-55.
Keffer, J. F. 1965 The uniform distortion of a turbulent wake. J. Fluid Mech. 22, 135159.Google Scholar
Laufer, J. 1955 The structure of turbulence in a fully developed pipe flow. N.A.C.A. Rep. no. 1174.Google Scholar
Lawn, C. J. 1971 The determination of the rate of dissipation in turbulent pipe flow. J. Fluid Mech. 48, 477505.Google Scholar
Scheele, G. F. & Greene, H. L. 1966 Laminar-turbulent transition for nonisothermal pipe flow. A.I.Ch.E. J. 12, 737740.Google Scholar
Schlichting, H. 1968 Boundary Layer Theory. Pergamon.
Shercliff, J. A. 1965 A Textbook of Magnetohydrodynamics. Pergamon.
Townsend, A. A. 1961 Equilibrium layers and wall turbulence. J. Fluid Mech. 11, 97120.Google Scholar