Linked from

The 69 pages that link to Navier–Stokes equations, each with the reason it gives.

• Computational fluid dynamicsNarrower topic: They supply the governing flow equations that most CFD methods approximate.

• Boundary layerNarrower topic: Boundary-layer equations are approximations of Navier–Stokes equations for thin near-wall regions.

• TurbulenceNarrower topic: Turbulence emerges from their nonlinear dynamics, though solving them remains difficult.

• Numerical weather predictionNarrower topic: Atmospheric dynamics are fluid motion governed by equations in this broader family.

• MagnetohydrodynamicsNarrower topic: Magnetohydrodynamics extends fluid dynamics by adding electromagnetic forces and field evolution.

• Bernoulli's principleNarrower topic: They describe viscous flows beyond Bernoulli's idealized energy balance.

• Stokes' lawNarrower topic: Stokes' law follows from their creeping-flow limit around a sphere.

• No-slip conditionNarrower topic: No-slip supplies a boundary condition needed to solve these equations near solid walls.

• Rayleigh–Taylor instabilityNarrower topic: They describe how viscosity and inertia shape the unstable flow.

• Kelvin–Helmholtz instabilityNarrower topic: They provide the dynamical framework for modeling shear layers and their evolution.

• Direct numerical simulationNarrower topic: DNS computes fluid evolution by numerically solving these governing equations.

• Hagen–Poiseuille equationNarrower topic: The equation follows from simplifying these fluid-motion equations for a pipe.

• Darcy's lawNarrower topic: At pore scale, fluid motion follows these equations rather than a bulk Darcy relation.

• Osborne ReynoldsNarrower topic: Reynolds’s analysis interpreted their terms and derived averaged equations for turbulent motion.

• CurrentNarrower topic: These equations provide a general mathematical framework for predicting currents.

• Rayleigh–Plesset equationNarrower topic: The bubble equation follows from radial fluid momentum under simplifying assumptions.

• Hele-Shaw cellNarrower topic: Hele-Shaw flow follows from simplifying these equations for a thin gap and slow motion.

• Low Reynolds number flowNarrower topic: Low-Reynolds-number flow emerges when their inertial terms become negligible.

• Rayleigh problemNarrower topic: The Rayleigh problem is a special solution of these governing equations.

• Taylor–Proudman theoremNarrower topic: The theorem is an idealized limit of rotating-fluid momentum equations.