SUMMARY
To find stagnation points for incompressible flow around a cylinder using the stream function, identify representative nodes and solve the Navier-Stokes equation using finite differences. The velocity components can be derived from the stream function with the equations u = dψ/dy and v = -dψ/dx. Stagnation points occur where both velocity components, u and v, equal zero, typically at the surface of the cylinder.
PREREQUISITES
- Understanding of the Navier-Stokes equation
- Familiarity with stream functions in fluid dynamics
- Knowledge of finite difference methods for solving PDEs
- Basic concepts of incompressible flow
NEXT STEPS
- Study the application of finite difference methods in fluid dynamics
- Learn how to derive velocity components from stream functions
- Explore the characteristics of incompressible flow around various geometries
- Investigate advanced techniques for solving the Navier-Stokes equations
USEFUL FOR
Fluid dynamics engineers, researchers in computational fluid dynamics, and students studying incompressible flow phenomena will benefit from this discussion.