Incompressible Navier–Stokes equations
The incompressible Navier-Stokes equations are a set of mathematical equations that describe how a fluid (like water or air) moves around. They are called "incompressible" because they assume that the fluid cannot be squished or compressed, like when you squeeze a balloon.
The equations basically tell us how the fluid's velocity (how fast it's moving) changes over time, and how that velocity affects the fluid's pressure (how much it pushes against things) and density (how heavy it is).
Think of it like trying to predict the movements of water in a bathtub. The Navier-Stokes equations help us understand what happens to the water when you pull the plug and the water starts to swirl around the drain.
They are named after two famous mathematicians - Claude-Louis Navier and George Gabriel Stokes - who developed the equations in the early 1800s. They are considered one of the most important achievements in fluid mechanics (the study of fluids in motion) and have many real-world applications, from predicting weather patterns to designing airplanes and cars.
The equations basically tell us how the fluid's velocity (how fast it's moving) changes over time, and how that velocity affects the fluid's pressure (how much it pushes against things) and density (how heavy it is).
Think of it like trying to predict the movements of water in a bathtub. The Navier-Stokes equations help us understand what happens to the water when you pull the plug and the water starts to swirl around the drain.
They are named after two famous mathematicians - Claude-Louis Navier and George Gabriel Stokes - who developed the equations in the early 1800s. They are considered one of the most important achievements in fluid mechanics (the study of fluids in motion) and have many real-world applications, from predicting weather patterns to designing airplanes and cars.