fluid-dynamics

name	fluid-dynamics
description	Fluid flow and motion behavior
license	MIT
compatibility	opencode
metadata	{"audience":"engineers","category":"physics"}

What I do

• Analyze laminar and turbulent flow
• Solve Navier-Stokes equations
• Calculate boundary layer behavior
• Model compressible and incompressible flows
• Study multiphase fluid dynamics
• Analyze aerodynamic forces

When to use me

When designing aircraft, ships, pipelines, or any system involving fluid flow.

Key Concepts

• Navier-Stokes: ρ(∂v/∂t + v·∇v) = -∇p + μ∇²v + ρg
• Reynolds Number: Re = ρVL/μ characterizes laminar vs turbulent flow
• Bernoulli's Equation: P + ½ρv² + ρgh = constant along streamlines
• Continuity Equation: ∇·v = 0 for incompressible flow
• Boundary Layer: Thin region near surfaces where viscosity matters
• Drag Force: F_D = ½ρv²C_D A for bodies in flow