Drag decomposition using partial pressure fields in the compressible navier-stokes equations

The static-pressure field in the steady and compressible Navier-Stokes equations is decomposed into Euler (inviscid) and dissipative (viscous) partial-pressure fields. This work is a generalization of the incompressible pressure decomposition previously reported in [Schmitz & Coder, AIAA Journal 53(1) 2015]. The analysis shows that the integral of the Euler pressure over the surface of a lifting body of thickness recovers the Kutta-Joukowski theorem for lift, and results in Maskell’s formula for the vortex-induced drag in the limit of high Reynolds number; the combined integral of the dissipative pressure and wall shear stress results in a generalized form of Oswatitsch’s formula for entropy-flux drag. Transport equations are derived with well-posed boundary conditions for both the Euler and dissipative partial-pressure fields for implementation in Computational Fluid Dynamics codes as an alternative to far-field and volumetric methods for drag decomposition of complex aircraft configurations.