Equations · equation
MHD Induction Equation
Magnetohydrodynamics · 1942
- Equation
- ∂B/∂t = ∇×(v×B) + η·∇²B
- Field
- Magnetohydrodynamics
- Named After
- Hannes Alfvén
- Year
- 1942
Symbols
B magnetic field · v velocity of the conducting fluid · η magnetic diffusivity · the first term carries the field with the flow, the second lets it slip and decay
Significance
How a magnetic field evolves inside a moving conducting fluid — stirred by the flow, leaking by diffusion. It's Faraday's induction married to fluid dynamics, and it governs the Sun's boiling field, Earth's core, and every fusion plasma.
Referenced by
element
equation
Open on the Equations shelf — the interactive card, the filters, and everything alongside it.