RESEARCH ARTICLE
Explicit Exact and Third-Order-Accurate Pressure-Deflection Solutions for Oblique Shock and Expansion Waves
Dan Mateescu*
Aerospace Program, Mechanical Engineering Department, McGill University, Montreal, QC, Canada
Article Information
Identifiers and Pagination:
Year: 2010Volume: 3
First Page: 1
Last Page: 8
Publisher Id: TOAEJ-3-1
DOI: 10.2174/1874146001003010001
Article History:
Received Date: 30/06/2009Revision Received Date: 17/12/2009
Acceptance Date: 21/12/2009
Electronic publication date: 18/2/2010
Collection year: 2010
© 2010 Mateescu.
open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: https://creativecommons.org/licenses/by/4.0/legalcode. This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: https://creativecommons.org/licenses/by/4.0/legalcode. This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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.
Keywords: Shock waves, Prandtl-Meyer expansions, supersonic flows, aerodynamics.
