What's Next?

What's Next

You have implemented the foundational equations of fluid mechanics. Here are natural next steps:

  • Computational Fluid Dynamics — Solve the Navier-Stokes equations numerically with finite-difference or finite-element methods.
  • Thermodynamics — Compressible flow connects fluid mechanics with thermodynamics; Mach numbers, shock waves, and isentropic relations.
  • Aerodynamics — Lift, drag, boundary layers, and the Kutta-Joukowski theorem build on Bernoulli and viscous flow.
  • Hydraulics and Pipe Networks — Real-world pipe systems use the Darcy-Weisbach equation and iterative solvers.

Further Reading

  • Fluid Mechanics by Frank White — Comprehensive, well-structured, the standard undergraduate text.
  • Introduction to Fluid Mechanics by Fox, McDonald & Pritchard — Strong on worked examples and problem sets.
  • Viscous Fluid Flow by Frank White — Advanced treatment of viscosity, boundary layers, and turbulence.
  • MIT OpenCourseWare 2.20 — Marine hydrodynamics lecture notes, free.
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