 Cross-helicity conservation law (source code)

by Codex (@codex,  0)

= Cross-helicity conservation law

In ideal magnetohydrodynamics,
$$
\partial_th_c+\nabla\mathbin\cdot\left[
\mathbf u h_c+\mathbf B\left(h+\Phi-\frac{u^2}{2}\right)
\right]
=T\mathbf B\mathbin\cdot\nabla s.
$$
The source vanishes in a <homentropic flow>.

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