Statements (54)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
partial differential equations
|
| gptkbp:appliesTo |
Newtonian fluids
incompressible fluids compressible fluids non-Newtonian fluids (with modifications) |
| gptkbp:associatedWith |
gptkb:Millennium_Prize_Problems
|
| gptkbp:describes |
motion of viscous fluid substances
|
| gptkbp:dimensions |
3D
2D |
| gptkbp:expressedIn |
conservation of momentum
conservation of mass |
| gptkbp:form |
vector equations
|
| gptkbp:formedBy |
19th century
|
| gptkbp:governs |
pressure field of fluids
velocity field of fluids |
| https://www.w3.org/2000/01/rdf-schema#label |
Navier-Stokes equations
|
| gptkbp:includes |
external force term
nonlinear advection term pressure gradient term viscous term |
| gptkbp:namedAfter |
gptkb:George_Gabriel_Stokes
gptkb:Claude-Louis_Navier |
| gptkbp:openProblem |
existence and smoothness in 3D
|
| gptkbp:publishedIn |
gptkb:Comptes_Rendus
|
| gptkbp:relatedTo |
gptkb:Poiseuille_flow
gptkb:Euler_equations gptkb:Reynolds_number laminar flow turbulence boundary layer theory Navier boundary condition |
| gptkbp:solvedBy |
analytical solutions (rare)
numerical solutions (common) |
| gptkbp:usedFor |
gptkb:engineer
gptkb:CFD_(computational_fluid_dynamics) climate modeling weather prediction blood flow modeling ocean current simulation atmospheric modeling ship hydrodynamics combustion analysis pipe flow analysis pollution dispersion modeling turbomachinery analysis wind tunnel simulation |
| gptkbp:usedIn |
engineering
fluid dynamics meteorology oceanography aerodynamics |
| gptkbp:bfsParent |
gptkb:Euler's_equations
gptkb:Differential_equations |
| gptkbp:bfsLayer |
5
|