Navier-Stokes Equation

The Navier-Stokes equations describe how fluids—liquids and gases—move and flow. They balance forces like pressure, viscosity, and external influences to predict the velocity and pressure of a fluid at any point. Essentially, they are mathematical rules that explain phenomena like weather patterns, ocean currents, airflow over aircraft, and pipeline flows. These equations help scientists and engineers understand complex fluid behavior, whether in natural systems or technological applications. Despite their importance, solving them precisely for real-world situations can be very challenging, often requiring advanced computations.