Changes between Version 6 and Version 7 of u/erica/d

Timestamp:

12/05/15 14:22:48 (9 years ago)

Author:

Erica Kaminski

Comment:

—

u/erica/d

@@ -23 +23 @@
 || 0 || 0 || 1 ||
 
-If the gradient of magnetic pressure was along the field line, that the first term on the LHS would be just the gradient of magnetic pressure. This would cancel with the other term for magnetic pressure. Thus we see that the magnetic pressure does not provide a force along field lines. It is thus does not provide an isotropic pressure force, but rather only acts perpendicular to the field lines, which is what we will consider next.
+If the gradient of magnetic pressure was along the field line, then that first term on the RHS would just be equal to the gradient of magnetic pressure. This would cancel with the other term for magnetic pressure in the Navier Stokes equation. Thus, we see that gradients in the magnetic pressure do not provide a force ''along'' field lines, i.e. does not provide an isotropic pressure force. Rather, it only acts perpendicular to the field lines, which is what we will consider next.
 
 Say the gradient of magnetic pressure is perpendicular to the magnetic field lines, say for example the gradient is along y (field is pointing along z still). Then,