Instead of just assuming that the magnetic field was weakly perturbed, the full equations were retained and the usual boundary-layer approximations made.
To observe the transition to two-dimensionality one can consider the y -component of the velocity parallel to the magnetic field at fixed parameters.
The velocity, pressure, and magnetic field will be found by iteration in the following way.
The velocity gradients, and hence the viscous drag, are reduced by the magnetic field.
Figure 2 shows the effect of the magnetic field on the velocity.
The hydromagnetic stability of a basic two-dimensional parallel flow of an incompressible conducting fluid in a uniform magnetic field parallel to the flow is considered.
In addition to the influence of the magnetic field (strength and direction), we study the effect of the wall conductance ratio on the flow.
The analysis of the jet reveals the surprising result that the magnetic field makes inviscid long-wave disturbances more unstable.
