To use all functions of this page, please activate cookies in your browser.
With an accout for my.chemeurope.com you can always see everything at a glance – and you can configure your own website and individual newsletter.
- My watch list
- My saved searches
- My saved topics
- My newsletter
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 the fluid.
Additional recommended knowledge
The flow velocity of a fluid is a vector field
which gives the velocity of an element of fluid at a point at a time t.
The flow velocity of a fluid effectively describes everything about the motion of a fluid. Many physical properties of a fluid can be expressed mathematically in terms of the flow velocity. Some common examples follow:
The flow of a fluid is said to be steady if does not vary with time. That is if
A fluid is incompressible if the divergence of is zero:
That is, if is a solenoidal vector field.
A flow is irrotational if the curl of is zero:
That is, if is an irrotational vector field.
The vorticity, ω, of a flow can be defined in terms of its flow velocity by
Thus in irrotational flow the vorticity is zero.
The velocity potential
If an irrotational flow occupies a simply-connected fluid region then there exists a scalar field φ such that
The scalar field φ is called the velocity potential for the flow. (See Irrotational vector field.)
|This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Flow_velocity". A list of authors is available in Wikipedia.|