Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-28T07:48:26.773Z Has data issue: false hasContentIssue false
  • English
  • Français

Magnetohydrodynamic pipe flow Part2. High Hartmann number

Published online by Cambridge University Press:  28 March 2006

J. A. Shercliff
J. A. Shercliff
Affiliation:
Department of Engineering, University of Cambridge
Get access Rights & Permissions [Opens in a new window]

Abstract

The paper presents an improved, second approximation for the laminar motion of a conducting liquid at high Hartmann number in non-conducting pipes of arbitrary cross-section under uniform transverse magnetic fields. A satisfactory comparison with the author's previously experimental pressure gradient/flow results is made for the case of a circular pipe.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 13 , Issue 4 , August 1962 , pp. 513 - 518
Copyright
© 1962 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

Braginskii, S. I. 1959 Zh. Eksp. Teor. Fiz. 37, 1417. (Translation: Sov.Phys.-JETP, 10 (1960), 1005.)
Chang, C. C. & Lundgren, T. S. 1961 Z. angew. Math. Phys. 12, 100.
Gold, R. 1961 Aerospace Corp.Rep. no. TDR-930 (2119), TR-1.
Gold, R. 1962 J. Fluid Mech. 13, 505.
Hartmann, J. 1937 Math.-fys. Medd. 15, no. 6
Levinson, N. 1950 Ann. Math. 51, 428.
Sakao, F. 1962 J. Aero-Space Sci. 29, 246.
Shercliff, J. A. 1953 Proc. Camb. Phil. Soc. 49, 136.
Shercliff, J. A. 1956 J. Fluid Mech. 1, 644.
Uflyand, Y. S. 1960 Zh.Tekh. Fiz. 30, 1258. (Translation:Sov. Phys.-Tech. Phys. 5 (1961), 1194.)
Uhlenbusch, J. & Fischer, E. 1961 Z. Phys. 164, 190.
Wasow, W. 1944 Duke Math. J. 11, 405.
Williams, E. J. 1930 Proc. Soc. 42, 466.