-
friction within the
fluid tends to
organise the flow into a
collection of
irrotational vortices,
possibly superimposed to larger-scale flows,
including larger-scale...
-
conservative vector field is also
irrotational; in
three dimensions, this
means that it has
vanishing curl. An
irrotational vector field is
necessarily conservative...
- {\displaystyle \mathbf {u} } is an
irrotational vector field. A flow in a simply-connected
domain which is
irrotational can be
described as a
potential flow...
-
Irrotational flow
occurs where the curl of the
velocity of the
fluid is zero everywhere. That is when ∇ × v → = 0 {\displaystyle \nabla \times {\vec {v}}=0}...
- In
fluid dynamics,
potential flow or
irrotational flow
refers to a
description of a
fluid flow with no
vorticity in it. Such a
description typically arises...
- Indeed,
convolution of an
irrotational vector field with a
rotationally invariant potential is also
irrotational. For an
irrotational vector field G, it can...
- )={\frac {Q}{2\pi }}\theta .} The
steady flow from a
point source is
irrotational, and can be
derived from
velocity potential. The
velocity potential is...
-
vector calculus, a
Laplacian vector field is a
vector field which is both
irrotational and incompressible. If the
field is
denoted as v, then it is described...
-
density of the
fluid over
space and time. In the case that the
velocity is
irrotational ( ∇ × v = 0 {\displaystyle \nabla \times \mathbf {v} =0} ), we then have...
- section, we will
discuss the
irrotational field (lamellar
vector field)
based on Stokes' theorem.
Definition 2-1 (
irrotational field). A
smooth vector field...
