Get Math Help

GET TUTORING NEAR ME!

By submitting the following form, you agree to Club Z!'s Terms of Use and Privacy Policy

    Toroidal Field

    Definition

    A divergenceless field can be partitioned into a toroidal and a poloidal part. This separation is important in geo- and heliophysics, and in particular in dynamo theory and helioseismology. The toroidal field is defined as T = - 1/(sin θ) d/(dϕ) u(θ, ϕ)θ^^ + d/(dθ) u(θ, ϕ)ϕ^^, which can additionally be multiplied by a radial weighting function w(r). This is equivalent to the definition T = - w(r)·r^^x del _horizontal u(θ, ϕ), where u is a scalar function and the gradient is taken in spherical coordinates.

    Related term

    divergenceless field

    Find the right fit or it’s free.

    We guarantee you’ll find the right tutor, or we’ll cover the first hour of your lesson.