Reddy, NM (1974) Rotational cut-off and anharmonicity effects on thermodynamic properties of gases at high temperatures. In: Aeronautical Quarterly, 25 . pp. 287-292.
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The exact expressions for the partition function (Q) and the coefficient of specific heat at constant volume (Cv) for a rotating-anharmonic oscillator molecule, including coupling and rotational cut-off, have been formulated and values of Q and Cv have been computed in the temperature range of 100 to 100,000 K for O2, N2 and H2 gases. The exact Q and Cv values are also compared with the corresponding rigid-rotator harmonic-oscillator (infinite rotational and vibrational levels) and rigid-rotator anharmonic-oscillator (infinite rotational levels) values. The rigid-rotator harmonic-oscillator approximation can be accepted for temperatures up to about 5000 K for O2 and N2. Beyond these temperatures the error in Cv will be significant, because of anharmonicity and rotational cut-off effects. For H2, the rigid-rotator harmonic-oscillator approximation becomes unacceptable even for temperatures as low as 2000 K.
| Item Type: | Journal Article |
|---|---|
| Publication: | Aeronautical Quarterly |
| Publisher: | Royal Aeronautical Soc |
| Additional Information: | Copyright of this article belongs to Royal Aeronautical Soc. |
| Keywords: | Harmonic oscillators;high temperature gases;molecular oscillators;molecular rotation;partitions (mathematics);thermodynamic properties;gas dynamics;reentry physics;specific heat;temperature effects. |
| Department/Centre: | Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering) |
| Date Deposited: | 22 Jan 2010 04:48 |
| Last Modified: | 22 Jan 2010 04:48 |
| URI: | http://eprints.iisc.ac.in/id/eprint/24279 |
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