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- Velocity_potential abstract "A velocity potential is a scalar potential used in potential flow theory. It was introduced by Joseph-Louis Lagrange in 1788.It is used in fluid dynamics, when a fluid occupies a simply-connected region and is irrotational. In such a case, where denotes the flow velocity of the fluid. As a result, can be represented as the gradient of a scalar function ,is known as a velocity potential for .A velocity potential is not unique. If is a constant, or a function solely of the temporal variable, then is also a velocity potential for . Conversely, if is a velocity potential for then for some constant, or a function solely of the temporal variable . In other words, velocity potentials are unique up to a constant, or a function solely of the temporal variable.If a velocity potential satisfies Laplace equation, the flow is incompressible ; one can check this statement by, for instance, developing and using, thanks to the Clairaut-Schwarz's theorem, the commutation between the gradient and the laplacian operators.Unlike a stream function, a velocity potential can exist in three-dimensional flow.".
- Velocity_potential wikiPageID "2448955".
- Velocity_potential wikiPageRevisionID "600296947".
- Velocity_potential hasPhotoCollection Velocity_potential.
- Velocity_potential subject Category:Equations_of_fluid_dynamics.
- Velocity_potential subject Category:Fluid_dynamics.
- Velocity_potential type Abstraction100002137.
- Velocity_potential type Communication100033020.
- Velocity_potential type Equation106669864.
- Velocity_potential type EquationsOfFluidDynamics.
- Velocity_potential type MathematicalStatement106732169.
- Velocity_potential type Message106598915.
- Velocity_potential type Statement106722453.
- Velocity_potential comment "A velocity potential is a scalar potential used in potential flow theory. It was introduced by Joseph-Louis Lagrange in 1788.It is used in fluid dynamics, when a fluid occupies a simply-connected region and is irrotational. In such a case, where denotes the flow velocity of the fluid. As a result, can be represented as the gradient of a scalar function ,is known as a velocity potential for .A velocity potential is not unique.".
- Velocity_potential label "Geschwindigkeitspotential".
- Velocity_potential label "Velocity potential".
- Velocity_potential label "速度ポテンシャル".
- Velocity_potential label "速度位".
- Velocity_potential sameAs Geschwindigkeitspotential.
- Velocity_potential sameAs 速度ポテンシャル.
- Velocity_potential sameAs m.07dw8h.
- Velocity_potential sameAs Q1331126.
- Velocity_potential sameAs Q1331126.
- Velocity_potential sameAs Velocity_potential.
- Velocity_potential wasDerivedFrom Velocity_potential?oldid=600296947.
- Velocity_potential isPrimaryTopicOf Velocity_potential.