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

2025/06/30 by Meulens, Rensley A.
#35C05 #35Q30 #35Q35 #35Q51 #37K10 #76D05 #76M20 #76M25 #76N10 #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #G.1.8 #I.6.3 #I.6.8 #J.2 #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2506.23932

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.

Citations

• A note on N-soliton solutions for the viscid incompressible Navier-Stokes differential equation
• Four Lectures on Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics

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