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  2. Oseen equations - Wikipedia

    en.wikipedia.org/wiki/Oseen_equations

    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 , with the (partial) inclusion of convective acceleration .

  3. Kelvin's circulation theorem - Wikipedia

    en.wikipedia.org/wiki/Kelvin's_circulation_theorem

    In fluid mechanics, Kelvin's circulation theorem states: [1] [2] In a barotropic, ideal fluid with conservative body forces, the circulation around a closed curve (which encloses the same fluid elements) moving with the fluid remains constant with time. The theorem is named after William Thomson, 1st Baron Kelvin who published it in 1869.

  4. Boundary conditions in fluid dynamics - Wikipedia

    en.wikipedia.org/wiki/Boundary_conditions_in...

    Showing wall boundary condition. The most common boundary that comes upon in confined fluid flow problems is the wall of the conduit. The appropriate requirement is called the no-slip boundary condition, wherein the normal component of velocity is fixed at zero, and the tangential component is set equal to the velocity of the wall. [1]

  5. Rayleigh problem - Wikipedia

    en.wikipedia.org/wiki/Rayleigh_problem

    In fluid dynamics, Rayleigh problem also known as Stokes first problem is a problem of determining the flow created by a sudden movement of an infinitely long plate from rest, named after Lord Rayleigh and Sir George Stokes. This is considered as one of the simplest unsteady problems that have an exact solution for the Navier-Stokes equations.

  6. Turbulence modeling - Wikipedia

    en.wikipedia.org/wiki/Turbulence_modeling

    In computational fluid dynamics, the k–omega (k–ω) turbulence model [10] is a common two-equation turbulence model that is used as a closure for the Reynolds-averaged Navier–Stokes equations (RANS equations). The model attempts to predict turbulence by two partial differential equations for two variables, k and ω, with the first ...

  7. Helmholtz's theorems - Wikipedia

    en.wikipedia.org/wiki/Helmholtz's_theorems

    In fluid mechanics, Helmholtz's theorems, named after Hermann von Helmholtz, describe the three-dimensional motion of fluid in the vicinity of vortex lines. These theorems apply to inviscid flows and flows where the influence of viscous forces are small and can be ignored.

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  9. Tea leaf paradox - Wikipedia

    en.wikipedia.org/wiki/Tea_leaf_paradox

    In fluid dynamics, the tea leaf paradox is a phenomenon where tea leaves in a cup of tea migrate to the center and bottom of the cup after being stirred rather than being forced to the edges of the cup, as would be expected in a spiral centrifuge. The correct physical explanation of the paradox was for the first time given by James Thomson in 1857.