Thermodynamic Properties of Air in the Temperature Interval from 1000 to 12,000 K and the Pressure Intervals from 0.001 to 1000 Atm

Stupochenko, E. V.; Stakhanov, I. P.; Samuilov, E. V.; Pleshanov, A. S.; ROZHDESTVENSKII, I. B.

doi:10.2514/8.4997

Cited by 10 publications

(4 citation statements)

References 10 publications

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“…The treatment of the diatomic molecules follows the method developed by Drellishak 12,13 and by Stupochenko 14 . In this method the energy of a particular state in the molecule € E nJv is split into three contributions: the electronic excitation energy € E el n ( ) , the vibrational energy € E vib n,v ( ) and the rotational energy Assuming that (22) is valid for all vibrational states up to dissociation, we can determine the maximum permissible value € v max of the vibrational quantum number for each rotationless (J=0) molecular state from the equation…”

Section: Diatomic Moleculesmentioning

confidence: 99%

High-Temperature Thermodynamic Properties of Mars-Atmosphere Components

Capitelli¹,

Colonna²,

Giordano

et al. 2004

37th AIAA Thermophysics Conference

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Section: Diatomic Moleculesmentioning

confidence: 99%

High-Temperature Thermodynamic Properties of Mars-Atmosphere Components

Capitelli¹,

Colonna²,

Giordano

et al. 2004

37th AIAA Thermophysics Conference

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“…Both problems are reported in the paper of Park [26] and Lee [27] for the development of multitemperature model. In the early 1960s, several studies were conducted by Drellishak et al [18,28] and Stupochenko et al [29] to develop a calculation method for local thermodynamic equilibrium systems. Subsequently, Capitelli et al [20,[30][31][32] performed a large body of calculations for diatomic components and predicted atmospheric partition functions.…”

Section: Introductionmentioning

confidence: 99%

Partition functions of atomic and diatomic species in high‐temperature atmospheric plasmas

Liu

2021

Contributions to Plasma Physics

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Accurate atomic and diatomic partition functions are required to determine the level populations for the calculations of radiative properties in thermodynamic equilibrium and nonequilibrium plasmas produced by various atmospheric re-entries. In this work, a reliable partition functions database was rebuilt for some atomic and diatomic species from 100 K to 50000 K. The atomic partition functions were obtained by a four-level model, while the diatomic partition functions were predicted based upon a more rigorous approach for the computation of the energy levels. Compared with previous publications, the number of diatomic electronic states considered in our work is as large as possible. Estimates are made for the contributions of each electronic state of the diatomic molecule to the partition function. Moreover, the effect of the number of electronic states on the partition function was also evaluated. Finally, we calculated the specific heat based upon the obtained partition functions. All the results were validated by the available data in recent references and the relative errors were systematically analysed.

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“…The derivations of Herzberg [41,40], build upon the work of Dunham to produce partition functions that sum the coupled vib-rotational energy levels, and he presents concise expressions for the evaluation of the thermodynamic properties from these partition functions. These have seen use by various authors since the early 1960s through the work of Stupochenko [71] and Drellishak [19]. Jaffe too uses this approach to produce specific heat curves up to a temperature of 50, 000K for O 2 , N 2 and N O in 1987 [46].…”

Section: Diatomic Speciesmentioning

confidence: 99%

“…It has been experimentally verified however, that a number of states may exist in a quasi-steady coupling of v and J, with energies above the dissociation limit [40,19,71,10]. These discrete cases must be included inside the partition function sum, through the energy matching of the potential at the peak of the barrier r m and vib-rotational energy.…”

Section: Derivation Of R M and Maximum Rotational Quantum Number J Maxmentioning

confidence: 99%

UQ eSpace

Murdoch¹

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This thesis details the methodology and findings of a an extensive investigation into the definition and use of thermodynamic properties in the context of the hypersonic flight regime for air species. A surveying of common hypersonic flow solvers is presented, with the majority found to source their properties from the NASA Lewis/Glenn Chemical Equilibrium with Applications (CEA), including the University of Queensland's CFD package Eilmer4. A critical review was then performed on the sources of thermodynamic properties, in an effort to determine whether the current 20, 000K temperature limit of the CEA data could be increased, or more accurately modeled under this temperature. Despite its widespread use, flaws in the CEA modeling approach were identified for both atomic and molecular air species, making it erroneous when compared to the more modern and sophisticated publishings by Mario Capitelli. A complete build of the thermodynamic properties was then implemented using the Capitelli treatment of the internal partition function for both diatomic and monatomic species. Consideration in the monatomic species was made for the choice in ionization potential lowering technique, and a number of extrapolation methods were utilized to complete the electronic spectral levels where experimental observations were found to be lacking. Modeling of diatomic species was performed with consideration for the vibrational-rotational coupling of the atomic nuclei, using a Morse potential approach for determining the maximum permissible vibrational and rotational excitation modes. Quasi stable modes were identified and shown to good agreement with literature results. Good agreement was observed in the resulting thermodynamic properties to modern literature sources, which were then formatted for use in the Eilmer4 project. A preliminary evaluation of the influence these updated properties has on simulated results was presented, however insufficient evidence between the simulated results and available experimental data was found to conclusively validate the improvement made by these new results.

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Thermodynamic Properties of Air in the Temperature Interval from 1000 to 12,000 K and the Pressure Intervals from 0.001 to 1000 Atm

Cited by 10 publications

References 10 publications

High-Temperature Thermodynamic Properties of Mars-Atmosphere Components

High-Temperature Thermodynamic Properties of Mars-Atmosphere Components

Partition functions of atomic and diatomic species in high‐temperature atmospheric plasmas

UQ eSpace

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