A variational principle for magnetohydrodynamic channel flow

作者: Norman C. Wenger

DOI: 10.1017/S002211207000232X

关键词:

摘要: A variational formulation is presented for a class of magnetohydrodynamic (MHD) channel flow problems. This yields solutions the fluid velocity and induced electric potential in with uniform transverse static magnetic field. The cross-section constant but arbitrary, walls can be either insulators or conductors finite electrical conductivity. Electric currents are permitted to enter leave so that suitable MHD generator pump applications. An example square conducting solved as an illustration.

参考文章(4)
HOWARD C. RODEAN, Linearized Dynamics of a Nuclear Ramjet Missile Journal of the Aerospace Sciences. ,vol. 29, pp. 29- 37 ,(1962) , 10.2514/8.9299
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
W. H. Chu, On MHD Flow in a Rectangular Duct of Arbitrary Conductivity for Arbitrary Hartman Number Journal of Applied Mechanics. ,vol. 36, pp. 702- 710 ,(1969) , 10.1115/1.3564759
W. E. Williams, Magnetohydrodynamic flow in a rectangular tube at high Hartmann number Journal of Fluid Mechanics. ,vol. 16, pp. 262- 268 ,(1963) , 10.1017/S0022112063000732