solenoidal's Usage Examples:

magnetic field B has divergence equal to zero, in other words, that it is a solenoidal vector field.

An incompressible flow is described by a solenoidal flow velocity field.

In vector calculus a solenoidal vector field (also known as an incompressible vector field, a divergence-free vector field, or a transverse vector field).

For the electromagnetic wave with axial (solenoidal) magnetic field: E E ϕ ω ρ 0 c B 0 cos ⁡ ω ξ 1 , {\displaystyle EE_{\phi.

are zeros on the wave function, around which this velocity field has a solenoidal shape, similar to that of irrotational vortex on potential flows of traditional.

But a solenoidal field, besides having a zero divergence, also has the.

v must be a solenoidal vector field.

In other words, the stream function accounts for the solenoidal part of a two-dimensional Helmholtz decomposition, while the velocity.

form of the vorticity equation for an inviscid, divergence-free flow (solenoidal velocity field), the barotropic vorticity equation can simply be stated.

include frictional forces, magnetic forces, and in fluid mechanics a solenoidal field velocity field.

Let v : R 3 → R 3 {\displaystyle \mathbf {v} :\mathbb {R} ^{3}\to \mathbb {R} ^{3}} be a solenoidal vector field.

Given a sphere of radius a, travelling at velocity U, in a Stokes fluid with dynamic viscosity \mu, the drag force F_D is given by:F_D 6 \pi \mu a U The Stokes solution dissipates less energy than any other solenoidal vector field with the same boundary velocities: this is known as the Helmholtz minimum dissipation theorem.

Thus solenoidal vector fields are precisely those that have volume-preserving.