Fluid Dynamics
Navier–Stokes Equations
The fundamental equations of viscous fluid motion.
ρ(∂u/∂t + u·∇u) = −∇p + μ∇²u + f
What it means
The Navier–Stokes equations express conservation of momentum for a fluid, balancing inertia against pressure, viscous, and body forces. Solving them underlies all of computational fluid dynamics.
Variables
| u | velocity field |
| p | pressure |
| ρ | density |
| μ | dynamic viscosity |
| f | body force |
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