The Open Aerospace Engineering Journal
2010, 3 : 1-8Published online 2010 February 18. DOI: 10.2174/1874146001003010001
Publisher ID: TOAEJ-3-1
Explicit Exact and Third-Order-Accurate Pressure-Deflection Solutions for Oblique Shock and Expansion Waves
Aerospace Program, Mechanical Engineering Department, McGill University, Montreal, QC, Canada.
ABSTRACT
This paper presents explicit analytical solutions of the pressure coefficient and the pressure ratio across the oblique shock and expansion waves in function of the flow deflection angle. These new explicit pressure-deflection solutions can be efficiently used in solving applied aerodynamic problems in supersonic flows, such as the aerodynamics of airfoils and wings in supersonic-hypersonic flows and the shock and expansion waves interactions, and can be also used to increase the computational efficiency of the numerical methods based on the Riemann problem solution requiring the pressure-deflection solution of the oblique shock and expansion waves, such as the Godunov method.