diff options
Diffstat (limited to 'content/know/concept/magnetohydrodynamics/index.pdc')
| -rw-r--r-- | content/know/concept/magnetohydrodynamics/index.pdc | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/content/know/concept/magnetohydrodynamics/index.pdc b/content/know/concept/magnetohydrodynamics/index.pdc index 6672a74..89d23db 100644 --- a/content/know/concept/magnetohydrodynamics/index.pdc +++ b/content/know/concept/magnetohydrodynamics/index.pdc @@ -333,7 +333,7 @@ This term can be dropped in any of the following cases: $$\begin{gathered} 1 - \gg \frac{\big| \vb{J} \cross \vb{B} / q_e n_e \big|}{\big| \vb{U} \cross \vb{B} \big|} + \gg \frac{\big| \vb{J} \cross \vb{B} / q_e n_e \big|}{\big| \vb{u} \cross \vb{B} \big|} \sim \frac{\rho v_\mathrm{char} / \tau_\mathrm{char}}{v_\mathrm{char} |\vb{B}| q_i n_i} \approx \frac{m_i n_i}{|\vb{B}| q_i n_i \tau_\mathrm{char}} = \frac{1}{\omega_{ci} \tau_\mathrm{char}} @@ -366,7 +366,7 @@ where we have used Ampère's law to find $\vb{J} \sim \vb{B} / \mu_0 \lambda_\ma $$\begin{aligned} 1 - \ll \frac{\big| \vb{U} \cross \vb{B} \big|}{\big| \eta \vb{J} \big|} + \ll \frac{\big| \vb{u} \cross \vb{B} \big|}{\big| \eta \vb{J} \big|} \sim \frac{v_\mathrm{char} |\vb{B}|}{\eta \vb{J}} \sim \frac{v_\mathrm{char} |\vb{B}|}{\eta |\vb{B}| / \mu_0 \lambda_\mathrm{char}} = \mathrm{R_m} |