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  2. Navier–Stokes equations - Wikipedia

    en.wikipedia.org/wiki/NavierStokes_equations

    The NavierStokes equations (/ n æ v ˈ j eɪ s t oʊ k s / nav-YAY STOHKS) are partial differential equations which describe the motion of viscous fluid substances. They were named after French engineer and physicist Claude-Louis Navier and the Irish physicist and mathematician George Gabriel Stokes. They were developed over several decades ...

  3. Pressure-correction method - Wikipedia

    en.wikipedia.org/wiki/Pressure-correction_method

    () then provides the governing equation for pressure computation. The idea of pressure-correction also exists in the case of variable density and high Mach numbers, although in this case there is a real physical meaning behind the coupling of dynamic pressure and velocity as arising from the continuity equation

  4. Derivation of the Navier–Stokes equations - Wikipedia

    en.wikipedia.org/wiki/Derivation_of_the_Navier...

    This equation is called the mass continuity equation, or simply the continuity equation. This equation generally accompanies the NavierStokes equation. In the case of an incompressible fluid, ⁠ Dρ / Dt ⁠ = 0 (the density following the path of a fluid element is constant) and the equation reduces to:

  5. Stokes flow - Wikipedia

    en.wikipedia.org/wiki/Stokes_flow

    The equation of motion for Stokes flow can be obtained by linearizing the steady state NavierStokes equations.The inertial forces are assumed to be negligible in comparison to the viscous forces, and eliminating the inertial terms of the momentum balance in the NavierStokes equations reduces it to the momentum balance in the Stokes equations: [1]

  6. Astrophysical fluid dynamics - Wikipedia

    en.wikipedia.org/wiki/Astrophysical_fluid_dynamics

    Many regular fluid dynamics equations are used in astrophysical fluid dynamics. Some of these equations are: [2] Continuity equations; The NavierStokes equations; Euler's equations; Conservation of mass. The continuity equation is an extension of conservation of mass to fluid flow.

  7. Navier-Stokes equation - Wikipedia

    en.wikipedia.org/?title=Navier-Stokes_equation&...

    Navier-Stokes equation. Add languages. Add links. Article; Talk; ... Download as PDF; Printable version; In other projects Appearance. move to sidebar hide. From ...

  8. Navier–Stokes existence and smoothness - Wikipedia

    en.wikipedia.org/wiki/NavierStokes_existence...

    In mathematics, the NavierStokes equations are a system of nonlinear partial differential equations for abstract vector fields of any size. In physics and engineering, they are a system of equations that model the motion of liquids or non-rarefied gases (in which the mean free path is short enough so that it can be thought of as a continuum mean instead of a collection of particles) using ...

  9. Non-dimensionalization and scaling of the Navier–Stokes ...

    en.wikipedia.org/wiki/Non-dimensionalization_and...

    In fluid mechanics, non-dimensionalization of the NavierStokes equations is the conversion of the NavierStokes equation to a nondimensional form. This technique can ease the analysis of the problem at hand, and reduce the number of free parameters. Small or large sizes of certain dimensionless parameters indicate the importance of certain ...

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