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Flow velocityIn 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
DefinitionThe 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. UsesThe 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: Steady flowThe flow of a fluid is said to be steady if does not vary with time. That is if Incompressible flowA fluid is incompressible if the divergence of is zero: That is, if is a solenoidal vector field. Irrotational flowA flow is irrotational if the curl of is zero: That is, if is an irrotational vector field. VorticityThe 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 potentialIf an irrotational flow occupies a simplyconnected 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.) Categories: Fluid dynamics  Fluid mechanics 

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. 