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Navier–Stokes equations

The Navier–Stokes equations (/nævˈjeɪ ˈstoʊks/ nav-YAY STOHKS) describe the motion of viscous fluids. This system of partial differential equations was named after Claude-Louis Navier and George Gabriel Stokes, who developed them over a few decades of progressive work, from 1822 (Navier) to 1842–1850 (Stokes). Siméon Denis Poisson independently achieved…

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Overview

Flow velocity

General continuum equations

Compressible flow

Incompressible flow

Non-inertial frame of reference

Other equations

Stream function for incompressible 2D fluid

Properties

Application to specific problems

Exact solutions of the Navier–Stokes equations

Wyld diagrams

Representations in 3D

General references

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Navier–Stokes equations

Nodes236
Edges235
Triples205
Avg. degree1.99
Density0.008475
Components1

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Navier–Stokes equations

Top relations

related to General references · 104
Navier–Stokes equations → Acheson, ACM Chelsea Publishing, Alexander, Algorithms, An Introduction, Applied, Applied Analysis, Basset, Batchelor, Bell, Cambridge, Cambridge University Press, Checkisbnvalue, Chemical Engineering, Clarendon Press, Co Ltd, CoFox, Complex Fluids, Computational Mathematics, Computing Science Series
related to Exact solutions of the Navier–Stokes equations · 22
Navier–Stokes equations → But, Cartesian, Couette, Examples, For, Green, Hamel, Jeffery, Kummer's, Landau, Navier, Note, Poiseuille, Reynolds, Some, Squire, Stokes, Taylor, Time-dependent, Under
related to Turbulence · 18
Navier–Stokes equations → Allmaras, Attempts, CFD, It, Large, LES, Navier, RANS, Reynolds, Reynolds-averaged Navier, Some, Spalart, SST, Stokes, The, This, To, Turbulence
related to A three-dimensional steady-state vortex solution · 11
Navier–Stokes equations → Clay Millennium, Hopf, It, Let, Navier, Note, One, Other, Pythagorean, Stokes, This
related to Applicability · 9
Navier–Stokes equations → At, Boltzmann, Failing, For, Knudsen, Navier, Stokes, The Navier, Together
related to Radial flow · 8
Navier–Stokes equations → Difficulties, Issues, Navier, Reynolds, Rf, Stokes, The, This
related to Nonlinearity · 7
Navier–Stokes equations → An, Hence, In, Stokes, Such, The, The Navier
related to Wyld diagrams · 7
Navier–Stokes equations → Feynman, In, Mstislav Keldysh's, Navier, Similar, Stokes, Wyld
related to External links · 5
Navier–Stokes equations → Glenn Research Center, NASA, Navier, Simplified, Stokes
related to Application to specific problems · 4
Navier–Stokes equations → Generally, Stokes, The Navier, This

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Important terminology

equations displaystyle stokes navier equation flow fluid velocity mathbf left textstyle right pressure frac nabla partial incompressible cdot rho mu

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SubjectPredicateObjectConfidenceSrc
Navier–Stokes equationsis asecond most commonly seen0.90text
sound absorptioninstance ofthat is whenever we are not dealing with processes0.80text
attenuation of shock wavesinstance ofthat is whenever we are not dealing with processes0.80text
where second viscosity coefficient becomes importantinstance ofthat is whenever we are not dealing with processes0.80text
the Reynolds-averaged Navierinstance oftime-averaged equations0.80text
atoms or moleculesinstance ofit is infinitely divisible and not composed of particles0.80text
Navier–Stokes equationsrelated to A three-dimensional steady-state vortex solutionHopf0.60section
Navier–Stokes equationsrelated to A three-dimensional steady-state vortex solutionLet0.60section
Navier–Stokes equationsrelated to A three-dimensional steady-state vortex solutionOne0.60section
Navier–Stokes equationsrelated to A three-dimensional steady-state vortex solutionThis0.60section
Navier–Stokes equationsrelated to A three-dimensional steady-state vortex solutionNote0.60section
Navier–Stokes equationsrelated to A three-dimensional steady-state vortex solutionClay Millennium0.60section

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