induction equation هموگش ِ درهازش hamugeš-e darhâzeš
Fr.: équation d'induction In magnetohydrodynamics, an equation that describes the transport of plasma and magnetic
field lines over time: ∂B/∂t = ∇ x (v x B) +
η∇2B,
where B
is the → magnetic induction, v is the
plasma velocity, and η = (μσ)-1 the
→ magnetic diffusivity.
The first term on the right side represents → magnetic advection
and the second term → magnetic diffusion.
The induction equation can also be expressed as: ∂B/∂t = -(v.∇)B + (B.∇)v -
B(∇.v),
where the terms of the right-hand side stand for advection,
stretching, and compression, respectively. Among these terms, net
increase of the field can be done only through the stretching and
compression. → induction; → equation. |