By 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