Local Piston Theory with Viscous Correction and Its Application

This paper introduces a local piston theory with viscous correction for the prediction of hypersonic unsteady aerodynamic loads at high attitudes and large Mach numbers. A semi-empirical relation accounting for the viscous interaction effects to determine the effective shape is proposed. The method...

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Bibliographic Details
Published in:AIAA journal 2017-03, Vol.55 (3), p.942-954
Main Authors: Liu, Wen, Zhang, Chen-An, Han, Han-Qiao, Wang, Fa-Min
Format: Article
Language:English
Subjects:
Aerodynamic characteristics
Aerodynamic forces
Aerodynamic loads
Aerodynamics
Aerospace engineering
Angle of attack
Configuration management
Damping
Flow control
Flutter
High altitude
Hypersonic flow
Hypersonic vehicles
Loads (forces)
Mach number
Mathematical models
Piston theory
Thin airfoils
Three dimensional models
Unsteady aerodynamics
Viscosity
Waveriders
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Summary:This paper introduces a local piston theory with viscous correction for the prediction of hypersonic unsteady aerodynamic loads at high attitudes and large Mach numbers. A semi-empirical relation accounting for the viscous interaction effects to determine the effective shape is proposed. The method is validated by applying to thin airfoils at various Mach numbers, angles of attack, and operating altitudes. Sample two- and three-dimensional aerodynamic forces calculations are conducted demonstrating this method. Furthermore, flutter boundary predictions for a two-dimensional airfoil and pitching-in-damping derivative evaluations for a three-dimensional waverider configuration are performed with this unsteady aerodynamic model. Compared with the Euler-based local piston theory, this model performs much better at high altitudes for a wide range of Mach numbers, angles of attack, and shapes. Results suggest the feasibility of using the effective shape of hypersonic vehicles to efficiently and accurately obtain the unsteady aerodynamic characteristics in hypersonic flow environment.
ISSN:0001-1452
1533-385X
DOI:10.2514/1.J055207