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  2. Derivation of the Navier–Stokes equations - Wikipedia

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

    The derivation of the NavierStokes equations as well as their application and formulation for different families of fluids, is an important exercise in fluid dynamics with applications in mechanical engineering, physics, chemistry, heat transfer, and electrical engineering.

  3. Navier–Stokes equations - Wikipedia

    en.wikipedia.org/wiki/NavierStokes_equations

    The NavierStokes equations, even when written explicitly for specific fluids, are rather generic in nature and their proper application to specific problems can be very diverse. This is partly because there is an enormous variety of problems that may be modeled, ranging from as simple as the distribution of static pressure to as complicated ...

  4. Reynolds-averaged Navier–Stokes equations - Wikipedia

    en.wikipedia.org/wiki/Reynolds-averaged_Navier...

    The basic tool required for the derivation of the RANS equations from the instantaneous NavierStokes equations is the Reynolds decomposition.Reynolds decomposition refers to separation of the flow variable (like velocity ) into the mean (time-averaged) component (¯) and the fluctuating component (′).

  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. Stokes' law - Wikipedia

    en.wikipedia.org/wiki/Stokes'_law

    In fluid dynamics, Stokes' law gives the frictional force – also called drag force – exerted on spherical objects moving at very small Reynolds numbers in a viscous fluid. [1] It was derived by George Gabriel Stokes in 1851 by solving the Stokes flow limit for small Reynolds numbers of the NavierStokes equations. [2]

  7. Hydrodynamic stability - Wikipedia

    en.wikipedia.org/wiki/Hydrodynamic_stability

    NavierStokes equation and the continuity equation [ edit ] In order to analytically find the stability of fluid flows, it is useful to note that hydrodynamic stability has a lot in common with stability in other fields, such as magnetohydrodynamics , plasma physics and elasticity ; although the physics is different in each case, the ...

  8. Large eddy simulation - Wikipedia

    en.wikipedia.org/wiki/Large_eddy_simulation

    LES is currently applied in a wide variety of engineering applications, including combustion, [3] acoustics, [4] and simulations of the atmospheric boundary layer. [5] The simulation of turbulent flows by numerically solving the NavierStokes equations requires resolving a very wide range of time and length scales, all of which affect the ...

  9. 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.