Drag decomposition using partial-pressure fields in the compressible Navier-Stokes equations

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Abstract

The static-pressure field in the steady and compressible Navier-Stokes equations is decomposed into Euler (inviscid) and dissipative (viscous) partial-pressure fields as a generalization of the incompressible pressure decomposition previously reported by Schmitz and Coder (“Inviscid Circulatory-Pressure Field Derived from the Incompressible Navier-Stokes Equations,” AIAA Journal, Vol. 53, No. 1, 2015, pp. 33-41). The primary purpose of partial-pressure fields is to provide a means of dissecting local drag contributors over a lifting body. 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 a complement to far-field and volumetric methods for drag decomposition of complex aircraft configurations.

Original languageEnglish (US)
Pages (from-to)2030-2038
Number of pages9
JournalAIAA journal
Volume57
Issue number5
DOIs
StatePublished - May 2019

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering

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