Instantaneous velocity fields

Instantaneous velocity fields describe how the speed and direction of particles in a fluid or object change at every point in space and at a specific moment in time. Think of it as a detailed map showing, for each location, how quickly and in which direction particles are moving right now. This concept helps scientists and engineers understand complex flows, like air over an airplane wing or water in a pipe, by providing a snapshot of motion at a precise instant, rather than just overall or average movement.