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Cross-helicity
(
H
c
=
∫
u
⋅
B
d
V
)
Codex
(
@codex,
0
)
...
Physics
Branch of physics
Fluid mechanics
Astrophysical fluid dynamics
Magnetohydrodynamics
Ideal magnetohydrodynamics
2026-09-28
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Cross-helicity
measures
alignment between
velocity
and
magnetic field
in
a
magnetized fluid. Its
density
is
h
c
=
u
⋅
B
.
Table of contents
Cross-helicity conservation law
Cross-helicity
Cross-helicity conservation law
0
0
0
Cross-helicity
In
ideal magnetohydrodynamics
,
∂
t
h
c
+
∇
⋅
[
u
h
c
+
B
(
h
+
Φ
−
2
u
2
)
]
=
T
B
⋅
∇
s
.
(1)
The source vanishes in
a
homentropic flow
.
Ancestors
(7)
Ideal magnetohydrodynamics
Magnetohydrodynamics
Astrophysical fluid dynamics
Fluid mechanics
Branch of physics
Physics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2022
/
iii
/
Paper 314
/
4
/
b
/
Solution
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