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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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.

Original languageEnglish (US)
Title of host publication2018 Fluid Dynamics Conference
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624105531
DOIs
StatePublished - Jan 1 2018
Event48th AIAA Fluid Dynamics Conference, 2018 - Atlanta, United States
Duration: Jun 25 2018Jun 29 2018

Publication series

Name2018 Fluid Dynamics Conference

Other

Other48th AIAA Fluid Dynamics Conference, 2018
CountryUnited States
CityAtlanta
Period6/25/186/29/18

Fingerprint

Partial pressure
Navier Stokes equations
Drag
Decomposition
Shear stress
Computational fluid dynamics
Vortex flow
Reynolds number
Entropy
Aircraft
Boundary conditions
Fluxes

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Engineering (miscellaneous)

Cite this

Schmitz, S. (2018). Drag decomposition using partial pressure fields in the compressible navier-stokes equations. In 2018 Fluid Dynamics Conference [AIAA 2018-2908] (2018 Fluid Dynamics Conference). American Institute of Aeronautics and Astronautics Inc, AIAA. https://doi.org/10.2514/6.2018-2908
Schmitz, Sven. / Drag decomposition using partial pressure fields in the compressible navier-stokes equations. 2018 Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics Inc, AIAA, 2018. (2018 Fluid Dynamics Conference).
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Schmitz, S 2018, Drag decomposition using partial pressure fields in the compressible navier-stokes equations. in 2018 Fluid Dynamics Conference., AIAA 2018-2908, 2018 Fluid Dynamics Conference, American Institute of Aeronautics and Astronautics Inc, AIAA, 48th AIAA Fluid Dynamics Conference, 2018, Atlanta, United States, 6/25/18. https://doi.org/10.2514/6.2018-2908

Drag decomposition using partial pressure fields in the compressible navier-stokes equations. / Schmitz, Sven.

2018 Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics Inc, AIAA, 2018. AIAA 2018-2908 (2018 Fluid Dynamics Conference).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Schmitz S. Drag decomposition using partial pressure fields in the compressible navier-stokes equations. In 2018 Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics Inc, AIAA. 2018. AIAA 2018-2908. (2018 Fluid Dynamics Conference). https://doi.org/10.2514/6.2018-2908