Aerodynamics Of A Moving Curveball In Newtonian Flow
Free (open access)
We propose a dynamical system of the interaction between a ball and a viscid flow in two-dimensional space. It’s the combination of Navier-Stokes equations for the fluid and Newton’s 2nd law for the ball. The ball’s trajectory is unknown and determined by the dynamical system. The author has successfully rewritten the dynamics in coordinates moving with the ball and it makes numerical simulations possible. The curved flight path of the ball is obtained and so is the behavior of the flow around it.