Changes between Version 4 and Version 5 of u/erica/d


Ignore:
Timestamp:
12/05/15 14:16:38 (9 years ago)
Author:
Erica Kaminski
Comment:

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  • u/erica/d

    v4 v5  
    3333[[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} $)]]
    3434
    35 leaving us with the magnetic pressure term discussed above, and a term that points perpendicularly to the field line toward the center of the curvature (remember the tension term as a whole only arises when the field line is bent). Here [[latex($R_c$)]] is the radius of curvature.
     35leaving us with the magnetic pressure term discussed above, and a term that points perpendicularly to the field line toward the center of the curvature (remember the tension term as a whole only arises when the field line is bent). Here [[latex($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.