Exact Distributions for the Solutions of the Compressible Viscous Navier Stokes Differential Equations: An Application in the Aeronautical Industry

TL;DR

This paper introduces exact, transient formulas derived from Navier-Stokes equations to precisely separate lift and drag forces on airfoils, enhancing aeronautical simulations beyond traditional statistical methods.

Contribution

It provides novel exact solutions for Navier-Stokes equations that improve the accuracy of force separation in aeronautical applications.

Findings

Exact formulas for lift and drag separation

Improved accuracy over statistical methods

Application in aeronautical industry

Abstract

Wind tunnels and linearized turbulence and boundary-layer models have been so far necessary to simulate and approximate the stationery lift and drag forces on (base-mounted) airfoils by means of statistically determined or approximated values of the relevant situational coefficients as the drag and lift coefficients.To improve this process, we introduce transient and exact formulae to separate these forces in advance by means of the solutions found from the fluid dynamics model of the Navier Stokes differential equations.