Effect of the stagnation temperature on supersonic flow parameters: Application for air in nozzles |
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Authors: | T Zebbiche Z Youbi |
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Institution: | (1) Department of Aeronautics, Faculty of Sciences of Engineering, University SAAD Dahleb of Blida, B.P. 270, Ouled Yaich, 09470 Blida, Algeria |
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Abstract: | When the stagnation temperature of a perfect gas increases, the specific heats and their ratio do not remain constant any
more and start to vary with this temperature. The gas remains perfect and its state equation always remains valid, except
it will be called a calorically imperfect gas. The aim of this research is to develop the relations of the necessary thermodynamics
and geometrical ratios and to study the supersonic flow at high temperature (lower than the threshold of dissociation). The
results are found by the resolution of nonlinear algebraic equations and integration of complex analytical functions where
the exact calculation is impossible. The dichotomy method is used to solve the nonlinear equation, and the Simpson algorithm
is used for the numerical integration of the found integrals. A condensation of the nodes is used, since the functions to
be integrated have a high gradient at the extremity of the interval of integration. A comparison is made with a calorifcally
perfect gas to determine the error of this. An application is made for air in a supersonic nozzle.
The text was submitted by the authors in English. |
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Keywords: | supersonic flow high temperature supersonic nozzle thermodynamics ratios stretching function numerical integration interpolation |
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