Boundary value problems in aerodynamics of lifting surfaces in non-uniform motion
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This article is published in Bulletin of the American Mathematical Society.The article was published on 1949-09-01 and is currently open access. It has received 33 citations till now. The article focuses on the topics: Boundary value problem & Mixed boundary condition.read more
Citations
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System Mode Shapes in the Flutter of Compressor Blade Rows
TL;DR: In this article, the existence and uniqueness of extremely simple system flutter modes are proved for blade rows consisting of identical blades equally spaced about a common rotor, with no loss of generality whatsoever, in terms of a single "equivalent blade."
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Spectral representations for finite Hilbert transformations
TL;DR: In this paper, the authors refer to the operator H ~s the Hilbert transformation, which is a unitary symmetric operator acting on functions x (4) of class L ~ (- 0% oo).
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Unsteady Lifting Line Theory Using the Wagner Function for the Aerodynamic and Aeroelastic Modeling of 3D Wings
TL;DR: In this article, a method is presented to model the incompressible, attached, unsteady lift and pitching moment acting on a thin three-dimensional wing in the time domain.
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Interaction of a Shock Wave with a Thermal Boundary Layer
TL;DR: In this article, the interaction of a plane shock wave with a thermal boundary layer has been studied experimentally in the shock tube and a theory developed for those cases in which the shock is sufficiently strong and the heating small enough for the shock to extend clear to the surface.
References
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General Theory of Aerodynamic Instability and the Mechanism of Flutter
TL;DR: In this paper, the Kutta condition was used to analyze the aerodynamic forces on an oscillating airfoil or an air-foil-aileron combination of three independent degrees of freedom.
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Airfoil Theory for Non-Uniform Motion
Th. von Kármán,W. R. Sears +1 more
TL;DR: In this paper, the lift and moment acting upon an airfoil in the two-dimensional case may be calculated directly from simple physical considerations of momentum and moment of momentum after a calculation of the induction effects of a wake vortex.
Propulsion of a flapping and oscillating airfoil
TL;DR: In this article, the authors give formulas for the propelling or drag force experience in a uniform air stream by an airfoil or an air-foil-aileron combination, oscillating in any of three degrees of freedom; vertical flapping, torsional oscillations about a fixed axis parallel to the span and angular oscillations of the aileron about a hinge.
The unsteady lift of a wing of finite aspect ratio
TL;DR: In this paper, the aerodynamic inertia and the angle of attack of the infinite wing of a fixed aspect ratio plane were corrected by correcting the aerodynamics inertia and angle of attacks of the plane.