![]() ![]() We have all seen special effects and visualizations of fluids in movies. Let’s first start with understanding these equations. We would now call such swirling motions vortices, and we have a systematic way of understanding the behavior of fluids through the Navier–Stokes equations. He often observed that water had a swirling motion, sometimes big and sometimes small, as shown in the sketch below. ![]() Leonardo da Vinci made several sketches of the motion of fluid and made a number of observations about how water and air behave. The motion of fluid flow has captured the interest of philosophers and scientists for a long time. ![]()
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