Aerodynamics or Quantum Collisions: Drag coefficient revision by Schrodinger's equation

Abstract

Despite the fact that the calculations of drag coefficient and pressure distribution for airfoils can be completed by using Navier-Stoke's equation with help of experimental parameters and advanced computer programming, a simple theoretical approach to these classical problems is still lacked. In this paper we show Schrodinger equation can in fact be a handy tool to describe the mechanics of fluids using rigid sphere in air as an example and further investigate the wave-like properties of fluids. We also provide computational results for simulations of drag coefficient, as well as a comparison to potential theory results of velocity distribution along the surface of a sphere. The final discussion will be focusing on potential generalization of the formulas to other geometrical objects (e.g. airfoils).