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- Oseen_equations abstract "In fluid dynamics, the Oseen equations (or Oseen flow) describe the flow of a viscous and incompressible fluid at small Reynolds numbers, as formulated by Carl Wilhelm Oseen in 1910. Oseen flow is an improved description of these flows, as compared to Stokes flow, by the partial inclusion of convective acceleration.The fundamental solution due to a singular point force embedded in an Oseen flow is the Oseenlet. The closed-form fundamental solutions for generalized unsteady Stokes and Oseen flows associated with arbitrary time-dependent translational and rotational motions have been derived for Newtonian and micropolar fluids.Using the Oseen equation, Horace Lamb was able to derive improved expressions for the viscous flow around a sphere in 1911, improving on Stokes law towards somewhat higher Reynolds numbers. Also, Lamb derived—for the first time—a solution for the viscous flow around a circular cylinder.The Oseen equations are, in case of an object moving with a steady velocity U through the fluid—which is at rest far from the object—and in a frame of reference attached to the object:whereu is the disturbance velocity induced by the moving object, i.e. the total flow velocity in the frame of reference moving with the object is –U+u,p is the pressure,ρ is the density of the fluid,μ is the dynamic viscosity,∇ is the gradient operator, and∇2 is the Laplace operator.The boundary conditions for the Oseen flow around a rigid object are:with r the distance from the object's center, and p∞ the undisturbed pressure far from the object.".
- Oseen_equations wikiPageID "19554842".
- Oseen_equations wikiPageRevisionID "600156274".
- Oseen_equations hasPhotoCollection Oseen_equations.
- Oseen_equations subject Category:Equations_of_fluid_dynamics.
- Oseen_equations subject Category:Fluid_dynamics.
- Oseen_equations type Abstraction100002137.
- Oseen_equations type Communication100033020.
- Oseen_equations type Equation106669864.
- Oseen_equations type EquationsOfFluidDynamics.
- Oseen_equations type MathematicalStatement106732169.
- Oseen_equations type Message106598915.
- Oseen_equations type Statement106722453.
- Oseen_equations comment "In fluid dynamics, the Oseen equations (or Oseen flow) describe the flow of a viscous and incompressible fluid at small Reynolds numbers, as formulated by Carl Wilhelm Oseen in 1910. Oseen flow is an improved description of these flows, as compared to Stokes flow, by the partial inclusion of convective acceleration.The fundamental solution due to a singular point force embedded in an Oseen flow is the Oseenlet.".
- Oseen_equations label "Oseen equations".
- Oseen_equations label "Oseen-Gleichungen".
- Oseen_equations sameAs Oseen-Gleichungen.
- Oseen_equations sameAs m.04n2v4l.
- Oseen_equations sameAs Q2033185.
- Oseen_equations sameAs Q2033185.
- Oseen_equations sameAs Oseen_equations.
- Oseen_equations wasDerivedFrom Oseen_equations?oldid=600156274.
- Oseen_equations isPrimaryTopicOf Oseen_equations.