Effect of Aspect Ratio on Undamped Torsional Oscillations of a Thin Rectangular Wing in Supersonic Flow

Effect of Aspect Ratio on Undamped Torsional Oscillations of a Thin Rectangular Wing in Supersonic Flow
Author: Charles E. Watkins
Publisher:
Total Pages: 42
Release: 1949
Genre: Aerodynamics, Supersonic
ISBN:

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The velocity potential and aerodynamic-torsional moment coefficients based on the linearized equations of motion for small disturbances are derived for a rectangular wing by means of appropriate distributions of moving sources and doublets. The aerodynamic-torsional-moment coefficent to study the effect of aspect ratio on the undamped torsional oscillations of a finite rectangular wing. Decreasing the aspect ratio of the wing is found to have a highly stabilizing effect on the undamped torsional oscillations. The results of some selected calculations are presented in the figures that illustrate this fact.

The Spanwise Distribution of Lift for Minimum Induced Drag of Wings Having a Given Lift and a Given Bending Moment

The Spanwise Distribution of Lift for Minimum Induced Drag of Wings Having a Given Lift and a Given Bending Moment
Author: Robert T. Jones
Publisher:
Total Pages: 708
Release: 1950
Genre: Airplanes
ISBN:

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The problem of the minimum induced drag of wings having a given lift and a given span is extended to include cases in which the bending moment to be supported by the wing is also given. Expressions for the spanwise load distribution and the minimum drag in terms of the lateral position of the load centroid are given. The results show a 15-percent reduction of the induced drag with a 15-percent increase in span over that for an elliptic loading having the same total lift and bending moment.

Three-dimensional, Unsteady-lift Problems in High-speed Flight

Three-dimensional, Unsteady-lift Problems in High-speed Flight
Author: Harvard Lomax
Publisher:
Total Pages: 48
Release: 1950
Genre: Boundary value problems
ISBN:

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The problem of the build-u of lift on two- and three-dimensional wings flying at high speeds is discussed as a boundary-value problem for the classical wave equation. Kirchhoff's formula is applied so that the analysis is reduced, just as in the steady state, to an investigation of sources and doublets. Some simple applications of this method are considered, including the determination of the starting lift of a three-dimensional wing and the potential functions for some types of unsteady vortex motion.

Report

Report
Author: United States. National Advisory Committee for Aeronautics
Publisher:
Total Pages: 26
Release: 1951
Genre: Aeronautics
ISBN:

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Annual Report of the National Advisory Committee for Aeronautics

Annual Report of the National Advisory Committee for Aeronautics
Author: United States. National Advisory Committee for Aeronautics
Publisher:
Total Pages: 1200
Release: 1954
Genre: Aeronautics
ISBN:

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Includes the Committee's Technical reports no. 1-1058, reprinted in v. 1-37.

Velocity Distribution on Wing Sections of Arbitrary Shape in Compressible Potential Flow

Velocity Distribution on Wing Sections of Arbitrary Shape in Compressible Potential Flow
Author: Lipman Bers
Publisher:
Total Pages: 700
Release: 1950
Genre: Aerofoils
ISBN:

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The method of computing velocity and pressure distributions along wing profiles under the assumption of the simplified density-speed relation, outlined in NACA Technical Note 1006, is extended to the case of a nonsymmetrical profile and a flow with circulation. The shape of the profile, the speed of the undisturbed flow, and a parameter determing the angle of attack may be prescribed. The problem is reduced to a nonlinear integral equation which can be solved numerical by an iteration method. A numerical example is given.