Magnetohydrodynamic flow in a rectangular tube at high Hartmann number
作者： W. E. Williams
DOI: 10.1017/S0022112063000732
关键词: Fluid dynamics 、 Flow (mathematics) 、 Classical mechanics 、 Magnetohydrodynamic drive 、 Magnetohydrodynamics 、 Physics 、 Inverse 、 Turbulence 、 Hartmann number 、 Mechanics 、 Laminar flow
摘要: Asymptotic forms, valid for high Hartmann number M, were obtained the mean velocity laminar magnetohydrodynamic flow in a rectangular tube. For tube with non-conducting walls it was found that, neglecting exponentially damped terms, can be expressed ciosed form terms of tabulated functions. The first three expansion inverse powers M are extremely close agreement corresponding by Shercliff using boundary-layer method. perfectly conducting five an obtained.
harvard.edu
osti.gov
sci-hub.se 参考文章(5)
Chieh C. Chang, Thomas S. Lundgren, Duct flow in magnetohydrodynamics Zeitschrift für Angewandte Mathematik und Physik. ,vol. 12, pp. 100- 114 ,(1961) , 10.1007/BF01601011
J. A. Shercliff, Steady motion of conducting fluids in pipes under transverse magnetic fields Mathematical Proceedings of the Cambridge Philosophical Society. ,vol. 49, pp. 136- 144 ,(1953) , 10.1017/S0305004100028139
Richard R. Gold, Magnetohydrodynamic pipe flow. Part 1 Journal of Fluid Mechanics. ,vol. 13, pp. 505- 512 ,(1962) , 10.1017/S0022112062000889
J. A. Shercliff, Magnetohydrodynamic pipe flow Part2. High Hartmann number Journal of Fluid Mechanics. ,vol. 13, pp. 513- 518 ,(1962) , 10.1017/S0022112062000890
Harry Bateman, Higher Transcendental Functions Higher Transcendental Functions. pp. 59- ,(1953)