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.  |