# Modeling of stagnation-line nonequilibrium flows by means of quantum based collisional models

## Abstract

The stagnation-line flow over re-entry bodies is analyzed by means of a quantum based collisional model which accounts for dissociation and energy transfer in N{sub 2}-N interactions. The physical model is based on a kinetic database developed at NASA Ames Research Center. The reduction of the kinetic mechanism is achieved by lumping the rovibrational energy levels of the N{sub 2} molecule in energy bins. The energy bins are treated as separate species, thus allowing for non-Boltzmann distributions of their populations. The governing equations are discretized in space by means of the Finite Volume method. A fully implicit time-integration is used to obtain steady-state solutions. The results show that the population of the energy bins strongly deviate from a Boltzmann distribution close to the shock wave and across the boundary layer. The sensitivity analysis to the number of energy bins reveals that accurate estimation of flow quantities (such as chemical composition and wall heat flux) can be obtained by using only 10 energy bins. A comparison with the predictions obtained by means of conventional multi-temperature models indicates that the former can lead to an overestimation of the wall heat flux, due to an inaccurate modeling of recombination in the boundary layer.

- Authors:

- Aeronautics and Aerospace Department, von Karman Institute for Fluid Dynamics, 1640 Rhode-Saint-Genèse (Belgium)

- Publication Date:

- OSTI Identifier:
- 22311058

- Resource Type:
- Journal Article

- Journal Name:
- Physics of Fluids (1994)

- Additional Journal Information:
- Journal Volume: 26; Journal Issue: 9; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-6631

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUNDARY LAYERS; CHEMICAL COMPOSITION; DISTRIBUTION; ENERGY LEVELS; ENERGY TRANSFER; HEAT FLUX; MATHEMATICAL SOLUTIONS; MOLECULES; NASA; RECOMBINATION; SENSITIVITY ANALYSIS; SHOCK WAVES; SIMULATION; STEADY-STATE CONDITIONS

### Citation Formats

```
Munafò, A., E-mail: munafo@vki.ac.be, and Magin, T. E., E-mail: magin@vki.ac.be.
```*Modeling of stagnation-line nonequilibrium flows by means of quantum based collisional models*. United States: N. p., 2014.
Web. doi:10.1063/1.4894842.

```
Munafò, A., E-mail: munafo@vki.ac.be, & Magin, T. E., E-mail: magin@vki.ac.be.
```*Modeling of stagnation-line nonequilibrium flows by means of quantum based collisional models*. United States. doi:10.1063/1.4894842.

```
Munafò, A., E-mail: munafo@vki.ac.be, and Magin, T. E., E-mail: magin@vki.ac.be. Mon .
"Modeling of stagnation-line nonequilibrium flows by means of quantum based collisional models". United States. doi:10.1063/1.4894842.
```

```
@article{osti_22311058,
```

title = {Modeling of stagnation-line nonequilibrium flows by means of quantum based collisional models},

author = {Munafò, A., E-mail: munafo@vki.ac.be and Magin, T. E., E-mail: magin@vki.ac.be},

abstractNote = {The stagnation-line flow over re-entry bodies is analyzed by means of a quantum based collisional model which accounts for dissociation and energy transfer in N{sub 2}-N interactions. The physical model is based on a kinetic database developed at NASA Ames Research Center. The reduction of the kinetic mechanism is achieved by lumping the rovibrational energy levels of the N{sub 2} molecule in energy bins. The energy bins are treated as separate species, thus allowing for non-Boltzmann distributions of their populations. The governing equations are discretized in space by means of the Finite Volume method. A fully implicit time-integration is used to obtain steady-state solutions. The results show that the population of the energy bins strongly deviate from a Boltzmann distribution close to the shock wave and across the boundary layer. The sensitivity analysis to the number of energy bins reveals that accurate estimation of flow quantities (such as chemical composition and wall heat flux) can be obtained by using only 10 energy bins. A comparison with the predictions obtained by means of conventional multi-temperature models indicates that the former can lead to an overestimation of the wall heat flux, due to an inaccurate modeling of recombination in the boundary layer.},

doi = {10.1063/1.4894842},

journal = {Physics of Fluids (1994)},

issn = {1070-6631},

number = 9,

volume = 26,

place = {United States},

year = {2014},

month = {9}

}