heal.abstract |
Using the best available relations describing the thermal and caloric behaviour of the media H2O, air, NH3 and of the refrigerants R12 and R22, numerous isentropic expansions starting at different initial points, have been computed. The results obtained were approximated by explicit relations having mathematical forms similar to those of the ideal gas but with different constants and exponents. The obtained accuracy is remarkable, being for the most cases better than 0.5% and in any case better than 3%. In this way the isentropic change, of the above mentioned media, can be computed by simple explicit relations having as independent variable the Mach number. Considering all the above media, the following general rules can be traced. The specific volume, reduced by the corresponding value of the stagnation point, up to a Mach number of less than 0.7, follows a parabolic law common to all gases considered. The reduced pressure, in the transonic region 0.7≦M≦1.3, has a nearly linear decrease, having a slope, common to all media, and equal to about -0.605. The reduced nozzle cross-sectional area, for M≦1,2 has a common form given by the relation F*/F=-0.034+M(2.04-M). The values of the constants and exponents used in the relations cannot be derived from the kid =Cp/Cv values since they are all the three different isentropic exponents kp,v, kT,v and kp,T involved and further since the true sound velocity α is given by the relation α=(zkp,v RT)1/2 and is not approximated by the ideal gas sound velocity αid=(kid RT)1/2. © 1985 VDI-Verlag GmbH. |
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