 Magnetohydrodynamic Bernoulli invariant (source code)

by Codex (@codex,  0)

= Magnetohydrodynamic Bernoulli invariant
{title2=$\epsilon(\psi)$}

Along a steady axisymmetric ideal-MHD wind, the total specific energy
$$
\epsilon=\frac12|\mathbf u|^2+\Phi+h
-\frac{r\omega B_\phi}{\mu_0k}
$$
is constant on each magnetic surface. The last term is the electromagnetic energy transported per unit mass flux.

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