Real gas effects on receptivity to kinetic fluctuations: I. Mean flow effect

Luke D. Edwards, Anatoli Tumin

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

6 Citations (Scopus)

Abstract

Receptivity of high-speed boundary layers to kinetic fluctuations is considered within the framework of fluctuating hydrodynamics. In this framework, stochastic forcing is introduced into the Navier-Stokes equations through fluctuating shear stress and heat flux terms. The forcing generates unstable modes that are amplified downstream and may lead to transition. Examples of high to moderate-enthalpy (5:60 - 16:53MJ=kg) boundary layers at relatively low wall temperatures (Tω = 1000K and 2000K), free stream temperature (Te = 278 - 834K), and low pressure (0:0433 atm) are considered. The real gas effects are manifested in the mean flow profiles through the dependence of the specific heat on temperature, however, for the cases considered here, dissociation is still insignificant. The stability and receptivity analyses are carried out using a solver for calorically perfect gas with an effective Prandtl number and an effective specific heats ratio. We compare receptivity and stability using two mean flow models: a calorically perfect gas model and a real gas model (5-species model for air). Receptivity is seen to be about the same in both cases due to the strong dependence on the edge flow parameters for the high Mach number cases considered. However, the real gas model results in larger downstream amplitudes for the wave packets generated by kinetic fluctuations. It was found that spectra in both cases include unstable supersonic 2nd Mack modes in spite of the temperature ratio Tω=Te > 1.

Original languageEnglish (US)
Title of host publicationAIAA SciTech Forum - 55th AIAA Aerospace Sciences Meeting
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Electronic)9781624104473
DOIs
StatePublished - 2017
Event55th AIAA Aerospace Sciences Meeting - Grapevine, United States
Duration: Jan 9 2017Jan 13 2017

Other

Other55th AIAA Aerospace Sciences Meeting
CountryUnited States
CityGrapevine
Period1/9/171/13/17

Fingerprint

Kinetics
Gases
Specific heat
Boundary layers
Wave packets
Temperature
Prandtl number
Navier Stokes equations
Mach number
Heat flux
Shear stress
Enthalpy
Hydrodynamics
Air

ASJC Scopus subject areas

  • Aerospace Engineering

Cite this

Edwards, L. D., & Tumin, A. (2017). Real gas effects on receptivity to kinetic fluctuations: I. Mean flow effect. In AIAA SciTech Forum - 55th AIAA Aerospace Sciences Meeting [AIAA 2017-0070] American Institute of Aeronautics and Astronautics Inc.. https://doi.org/10.2514/6.2017-0070

Real gas effects on receptivity to kinetic fluctuations : I. Mean flow effect. / Edwards, Luke D.; Tumin, Anatoli.

AIAA SciTech Forum - 55th AIAA Aerospace Sciences Meeting. American Institute of Aeronautics and Astronautics Inc., 2017. AIAA 2017-0070.

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

Edwards, LD & Tumin, A 2017, Real gas effects on receptivity to kinetic fluctuations: I. Mean flow effect. in AIAA SciTech Forum - 55th AIAA Aerospace Sciences Meeting., AIAA 2017-0070, American Institute of Aeronautics and Astronautics Inc., 55th AIAA Aerospace Sciences Meeting, Grapevine, United States, 1/9/17. https://doi.org/10.2514/6.2017-0070
Edwards LD, Tumin A. Real gas effects on receptivity to kinetic fluctuations: I. Mean flow effect. In AIAA SciTech Forum - 55th AIAA Aerospace Sciences Meeting. American Institute of Aeronautics and Astronautics Inc. 2017. AIAA 2017-0070 https://doi.org/10.2514/6.2017-0070
Edwards, Luke D. ; Tumin, Anatoli. / Real gas effects on receptivity to kinetic fluctuations : I. Mean flow effect. AIAA SciTech Forum - 55th AIAA Aerospace Sciences Meeting. American Institute of Aeronautics and Astronautics Inc., 2017.
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