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induction equation hamugeš-e darhâzeš Fr.: équation d'induction In magnetohydrodynamics, an equation that describes the transport of plasma and magnetic
field lines over time: t = ∇ x ( x v) +
η∇B^{2}, Bwhere
is the → Bmagnetic induction, is the
plasma velocity, and η = (μσ)v^{-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: ∂ /∂Bt = -(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. |