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In fluid dynamics
Fluid dynamics

In physics, fluid dynamics is the sub-discipline of fluid mechanics dealing with fluid flow — the natural science of fluids in motion....
, vortical means pertaining to a vortex
Vortex

A vortex is a Rotation, often Turbulence,flow of fluid. Any spiral motion with closed Streamlines, streaklines and pathlines is vortex flow....
 or to vortices. The movement of a fluid
Fluid

A fluid is defined as a substance that continually deforms under an applied shear stress. All liquids and all gases are fluids. Fluids are a subset of the Phase and include liquids, gas, Plasma physics and, to some extent, plasticity ....
 can be said to be vortical if the fluid moves around in a circle, or in a helix
Helix

A helix is a special kind of space curve, i.e. a Differentiable manifold curve in three-space. As a mental image of a helix one may take the spring ....
, or if it tends to spin around some axis.

Vortical movement is characterized by non-zero vorticity
Vorticity

Vorticity is a mathematical concept used in fluid dynamics. It can be related to the amount of "Circulation " or "rotation" in a fluid.The average vorticity in a small region of fluid flow is equal to the Circulation around the boundary of the small region, divided by the area A of the small region....
, with vorticity defined as the curl of the flow velocity
Flow velocity

In fluid dynamics the flow velocity, or velocity field, of a fluid is a vector field which is used to mathematically describe the motion of a fluid....
:

where v is the velocity vector field
Vector field

In mathematics a vector field is a construction in vector calculus which associates a vector to every point in a Euclidean space.Vector fields are often used in physics to model, for example, the speed and direction of a moving fluid throughout space, or the strength and direction of some force, such as the magnetic field or gravity for...
 of the fluid flow.

The curl of the velocity — at a specified point of the vector field — yields a vector which points in the direction around which the fluid flow is rotating.








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Encyclopedia


In fluid dynamics
Fluid dynamics

In physics, fluid dynamics is the sub-discipline of fluid mechanics dealing with fluid flow — the natural science of fluids in motion....
, vortical means pertaining to a vortex
Vortex

A vortex is a Rotation, often Turbulence,flow of fluid. Any spiral motion with closed Streamlines, streaklines and pathlines is vortex flow....
 or to vortices. The movement of a fluid
Fluid

A fluid is defined as a substance that continually deforms under an applied shear stress. All liquids and all gases are fluids. Fluids are a subset of the Phase and include liquids, gas, Plasma physics and, to some extent, plasticity ....
 can be said to be vortical if the fluid moves around in a circle, or in a helix
Helix

A helix is a special kind of space curve, i.e. a Differentiable manifold curve in three-space. As a mental image of a helix one may take the spring ....
, or if it tends to spin around some axis.

Vortical movement is characterized by non-zero vorticity
Vorticity

Vorticity is a mathematical concept used in fluid dynamics. It can be related to the amount of "Circulation " or "rotation" in a fluid.The average vorticity in a small region of fluid flow is equal to the Circulation around the boundary of the small region, divided by the area A of the small region....
, with vorticity defined as the curl of the flow velocity
Flow velocity

In fluid dynamics the flow velocity, or velocity field, of a fluid is a vector field which is used to mathematically describe the motion of a fluid....
:

where v is the velocity vector field
Vector field

In mathematics a vector field is a construction in vector calculus which associates a vector to every point in a Euclidean space.Vector fields are often used in physics to model, for example, the speed and direction of a moving fluid throughout space, or the strength and direction of some force, such as the magnetic field or gravity for...
 of the fluid flow.

The curl of the velocity — at a specified point of the vector field — yields a vector which points in the direction around which the fluid flow is rotating.

See also


  • Biot–Savart law
  • coordinate rotation
  • hurricane
  • vortex
    Vortex

    A vortex is a Rotation, often Turbulence,flow of fluid. Any spiral motion with closed Streamlines, streaklines and pathlines is vortex flow....
  • vorticity
    Vorticity

    Vorticity is a mathematical concept used in fluid dynamics. It can be related to the amount of "Circulation " or "rotation" in a fluid.The average vorticity in a small region of fluid flow is equal to the Circulation around the boundary of the small region, divided by the area A of the small region....


External links


  • (MIT) -- Study of flows found in nature and part of the Department of Ocean Engineering.
  • Kida, Shigeo, "'". National Institute for Fusion Science, Theory and Computer Simulation Center.
  • Marcos, C. de la Fuente, and P. Barge, "".
  • "" images via Google
    Google

    Google Inc. is an United States public company, earning revenue from AdWords related to its Google search, Gmail, Google Maps, Google Apps, Orkut, and YouTube services as well as selling advertising-free versions of the Google Search Appliance....
    .