I am trying to understand how the Lorentz force affects bulk fluid motion when I have an applied electric field (yaxis), applied magnetic field (xaxis) and bulk fluid velocity (zaxis), all orthogonal to each other.
I understand that if the fluid was at rest, an electrostatic force would generate a velocity in the yaxis, which would also generate a Lorentz force/velocity in the zaxis and form the cyclotron effect.
However, when the bulk fluid velocity in the zaxis exists, I presume this flow cannot be considered a moving charge (as both ions and electrons are travelling) and therefore the only moving charge is associated with the electric field. Instead a dynamo effect would take place such that the momentum force of the zaxis fluid flow would generate a current in the negative yaxis (should be negative in the image) and this current would in turn produce a force in the zaxis, thus accelerating the bulk fluid motion. Therefore the net effect would be to increase the radius of the cyclotron affect in the zaxis. Is this correct?
Could you tell me where the magnetic and electric field vectors should be to produce a force perpendicular to the bulk fluid motion (right schematic in the attachment)?
Any comments are much appreciated.
Cheers.
