Effect of the stagnation temperature on the normal shock wave

Article type: Research Article

Authors: Zebbiche, Toufik

Affiliations: Department of Aeronautics, Faculty of Engineering, University SAAD Dahleb of Blida, B.P. 270 Blida 09000, Algeria. E-mail: z_toufik270169@yahoo.fr

Abstract: When the stagnation temperature increases, the specific heat does not remain constant and start to vary with this temperature. The gas is perfect; its state equation remains always valid, except, it was called by calorically imperfect gas or gas at high temperature. The purpose of this work is to develop a mathematical model for a normal shock wave at high temperature when the stagnation temperature is taken into account, less than the dissociation of the molecules. A generalisation model for a perfect gas for constant heat specific is obtained. A study on the error given by the perfect gas model compared to our model is presented in order to find a limit of application of the perfect gas model. The application is for air.

Keywords: Supersonic flow, subsonic flow, high temperature, supersonic nozzle, thermodynamics ratios, normal shock wave, entropy, relative error, interpolation

DOI: 10.3233/JCM-2009-0253

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 9, no. 1-2, pp. 79-92, 2009