A variational formulation is presented f o r a c l a s s of magnetohydrodynamic (MHD) channel flow problems. T h i s formulation yields solutions for the fluid velocity and the induced electric potential in a channel with a uniform t r a n s v e r s e static magnetic field. The channel c r o s s section is constant but a r b i t r a r y , and the channel w a l l s can be either insulators o r conductors with finite electrical conductivity. E l e c t r i c c u r r e n t s a r e permitted to enter and leave the channel walls so that the solutions are suitable f o r MHD generator and pump applications. An example of a s q u a r e channel with conducting walls is solved as an illustration.
Key Words ( S u g g e s t e d b y A u t h o r ( s ) )
A model of a re-entry plasma layer is analyzed by using the linearized hydrodynamic equations for a single-fluid warm plasma medium. The model consists of a perfectly conducting plane of infinite extent covered by a warm plasma layer of uniform density. The field excited by a magnetic line source located on the conducting plane is computed· by Fourier transform techniques. Expressions are obtained for the far-zone radiation field and for the surface waves guided by the plasma layer. Numerical results are presented that show the dependence of the energy transported by these waves on frequency and electron temperature. In addition, the radiation pattern of the far-zone field is computed for vari· ous frequencies and electron temperatures.
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