Changes between Version 4 and Version 5 of u/erica/d
- Timestamp:
- 12/05/15 14:16:38 (9 years ago)
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u/erica/d
v4 v5 33 33 [[latex($\rho \frac{d}{dt} \bold{u} + \rho (\bold{u} \cdot \bold{\nabla}) \bold{u} = - \bold{\nabla} P -\bold{\nabla}(\frac{B^2}{2 \mu}) + \frac{B^2}{\mu} \frac{\hat{\bold{n}}}{R_c} $)]] 34 34 35 leaving us with the magnetic pressure term discussed above, and a term that points perpendicularly to the field line toward the center of the curvature (remember the tension term as a whole only arises when the field line is bent). Here [[latex($R_c$)]] is the radius of curvature. 35 leaving us with the magnetic pressure term discussed above, and a term that points perpendicularly to the field line toward the center of the curvature (remember the tension term as a whole only arises when the field line is bent). Here [[latex($R_c$)]] is the radius of curvature. It represents the distance to which perpendicular lines drawn from the bent field lines would converge. This means if field lines aren't bent a lot, the radius of curvature would be large, thus coinciding with a smaller degree of magnetic tension. This would be expected for a small degree of bending in the field lines.