Use the equation for the fluid velocity component (u_⊥) normal to B, derived in problem 9. 7 in Chapter 9, to determine the relative orientations of u, B, E, J, and ∇p in a theta-pinch device.

Data from Problem 9.7.

For a perfectly conducting fluid characterized by a scalar pressure, under steady-state conditions, use the equation of motion (6.6) and the generalized Ohm's law (6.10) to derive the following equation for the fluid velocity component perpendicular to B:

Equations

Transcribed Image Text:

Tn B² (E -1 Vp) x ne E- - x B