| Description |
The development of means of producing high energy flow systems in the last few years has created many flow situations which do not lend themselves to present-day methods and techniques for analysis. The thermodynamic behavior of high temperature flow systems is thus receiving extensive study. Recent calculations of the thermodynamic properties of high temperature air including dissociation and ionization have been presented by The National Bureau of Standards. However, no analytical relationships have been presented which correlate 'the various thermodynamic variables of internal energy, pressure, density, and temperature. This thesis presents the development of an approximate caloric equation of state for ionizing air which relates the internal energy of the air to its pressure, density, and temperature. From statistical mechanical considerations, it is shown that the portion of the total change of internal energy of the system which goes to excite new degrees of freedom may be represented by P(i)d (_EV)· Considering the ionization of air as the excitation \P(-) , N of a new degree of freedom for the system, and applying the term p(v-n) d (e-vp-n) to that portion o£ the total change o£ internal energy N which goes to produce the ionization, it is shown that the ratio E/pV may be approximated by E/pV = (1.675 (p/p )-0.053 (T)O.15. |
