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- Vorticity_equation abstract "The vorticity equation of fluid dynamics describes evolution of the vorticity ω→ of a particle of a fluid as it moves with its flow, that is, the local rotation of the fluid (in terms of vector calculus this is the curl of the velocity field).The equation is:where d/dt the total time derivative operator, also denoted by in capital D notation as D/Dt, v→ is the velocity field, ρ is the local fluid density, p is the local pressure, τ is the viscous stress tensor and B→ represents the sum of the external body forces. The first source term on the right hand side represents vortex stretching.The equation is valid in the absence of any concentrated torques and line forces, for a compressible Newtonian fluid.In the case of incompressible (i.e. low Mach number) and isotropic fluids, with conservative body forces, the equation simplifies to the vorticity transport equationwhere ν is the kinematic viscosity and ∇2 is the Laplace operator.".
- Vorticity_equation wikiPageExternalLink BookCH12.pdf.
- Vorticity_equation wikiPageID "166365".
- Vorticity_equation wikiPageRevisionID "594692491".
- Vorticity_equation hasPhotoCollection Vorticity_equation.
- Vorticity_equation subject Category:Equations_of_fluid_dynamics.
- Vorticity_equation type Abstraction100002137.
- Vorticity_equation type Communication100033020.
- Vorticity_equation type Equation106669864.
- Vorticity_equation type EquationsOfFluidDynamics.
- Vorticity_equation type MathematicalStatement106732169.
- Vorticity_equation type Message106598915.
- Vorticity_equation type Statement106722453.
- Vorticity_equation comment "The vorticity equation of fluid dynamics describes evolution of the vorticity ω→ of a particle of a fluid as it moves with its flow, that is, the local rotation of the fluid (in terms of vector calculus this is the curl of the velocity field).The equation is:where d/dt the total time derivative operator, also denoted by in capital D notation as D/Dt, v→ is the velocity field, ρ is the local fluid density, p is the local pressure, τ is the viscous stress tensor and B→ represents the sum of the external body forces. ".
- Vorticity_equation label "Equazione della vorticità".
- Vorticity_equation label "Vorticity equation".
- Vorticity_equation label "Уравнение вихря".
- Vorticity_equation sameAs Equazione_della_vorticità.
- Vorticity_equation sameAs m.01662l.
- Vorticity_equation sameAs Q3730817.
- Vorticity_equation sameAs Q3730817.
- Vorticity_equation sameAs Vorticity_equation.
- Vorticity_equation wasDerivedFrom Vorticity_equation?oldid=594692491.
- Vorticity_equation isPrimaryTopicOf Vorticity_equation.