- In
vector calculus a
solenoidal vector field (also
known as an
incompressible vector field, a divergence-free
vector field, or a
transverse vector field)...
- {\mathbf {u} }=0.} In this case, u{\displaystyle \mathbf {u} } is said to be
solenoidal. If this is so, the
above equation can be
rewritten as ∂ψ∂t+u⋅∇ψ=0{\displaystyle...
- The
ISOLDE Solenoidal Spectrometer (ISS)
experiment is a
permanent experimental setup located in the
ISOLDE facility at CERN. By
using an ex-MRI magnet...
- v must be a
solenoidal vector field. Let v : R 3 → R 3 {\displaystyle \mathbf {v} :\mathbb {R} ^{3}\to \mathbb {R} ^{3}} be a
solenoidal vector field...
-
resolved into the sum of an
irrotational (curl-free)
vector field and a
solenoidal (divergence-free)
vector field. This is
named after Hermann von Helmholtz...
- incompressible. An
incompressible flow is
described by a
solenoidal flow
velocity field. But a
solenoidal field,
besides having a zero divergence, also has the...
- decomposition. It is
often used in the
spherical coordinates analysis of
solenoidal vector fields, for example,
magnetic fields and
incompressible fluids...
- the
volume of
fluid elements is constant:
isochoric flow
resulting in a
solenoidal velocity field with ∇⋅u=0{\textstyle \nabla \cdot \mathbf {u} =0}. The...
-
Hamiltonian Killing vector field, a
vector field on a
Riemannian manifold Solenoidal vector field, a
vector field with zero
divergence Vector potential, a...
- it does not matter: in the
magnetostatic case, the
current density is
solenoidal (see next section), so the
divergence theorem and
continuity equation...