Critical Mach Number for Flow around Circular-Arc Airfoil

Abstract:

An approximate method for the account of compressibility, which was successfully applied earlier for airfoil with subsonic-type edge, was used for airfoil with supersonic-type edge in the present paper. Calculations of the critical Mach number of free-stream flow around circular-arc airfoil are considered. This method allows defining the parameters of a compressible fluid through the flow characteristics of an incompressible fluid. The method to account of compressibility of a flow does not depend on mathematical model of calculation of incompressible flow. Calculations of the velocity field for incompressible flow on the basis of Theory Function of Complex Variable (TFCV) have been accomplished. It has been shown that the value of critical Mach number decreases with increasing the relative thickness of the circular-arc airfoil.

• Periodical: Applied Mechanics and Materials (Volume 798)
• Pages: 513-517
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.798.513
• Online since: October 2015
• Authors: Vladimir A. Frolov*
• Keywords: Circular-arc Airfoil, Compressible Flow, Critical Mach Number, Effect of Compressibility

References

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[6] V.A. Frolov, in: AIP Conference Proceedings Vol. 1648, 390009 (2015).