Just for the sake of the discussion, Maxwell's equations require that changing magnetic fields induce electric fields in any conductive material, whether it be solid, liquid, gas or plasma.
That said, the magnitude of this effect isn't sufficient to generate a large (> than a few microamps) current in a typical saltwater tank unless someone is spinning a very large magnetically-coupled pump.
Yes, from the perspective if I were to create a tube of saltwater I could probably use it to make a generator, using the saltwater as a wire. We always discussed surfaces of the conductors, toroids, etc. What's happening in the center of the block of material though?
If I take a large block of solid steel, hollow out the center of it, and spin a magnet, what's happening? Electrons are following the magnetic fields within the block? The whole block is conductive, so even if they are, what would I measure on out outside of the block? The left edge and right edge of the block are going to have a different voltage potential? Is this voltage potential something that would even be possible for us to measure?
When you say a few microamps of current, where would you measure that? What would the frequency of it be? It's not DC, it'd have to be AC. What would the voltage be? Magnetohydrodynamics looks to be investigating that, but the high level discussion (i'm an engineer not a theoretical physasist) is investigation of rivers flowing through the earths magnetic field. That's not much different than a tube of saltwater being used as a generator.
Theoretical application is interesting, but from an engineering perspective, what would the volt meter see on the edge of the block. It seems to me like it would look like electrical noise. The meter would try to interpret it, sampling it through a very large resister and measuring for microamps in order to convert that to a voltage. It would then take microamps it measured and try to detect a frequency in them in order to provide the user a voltage measurement. So from an engineering and application perspective, I refer back to
http://www.nema.org/stds/eng-bulletins/upload/Bulletin-88.pdf. While this whole thing exists from a theoretical physics sort of perspective, in real application our voltage meters can't deal with it.
Granted, there is a bit more going on here than I had originally though, the concept of "stray voltage" as this hobby defines it is still a myth, an artifact of how the volt meters measure voltage. It's not something the average joe at home has the tools to measure in any meaningful form. If you were to put an oscilloscope on the tank, it'd probably look pretty interesting though.
