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Investigations on the transonic flow around aerosoils

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TLDR
In this paper, the stability of two-dimensional potential flows with embedded regions of supersonic flow adjacent to a body is examined and the behaviour of unsteady disturbances is investigated.
Abstract
The question of the stability of steady compressible two-dimensional potential flows with embedded regions of supersonic flow adjacent to a body is examined. The behaviour of unsteady disturbances is investigated and an essential difference between the stability of transonic one-dimensional and two-dimensional flow is shown to exist. It is shown that two-dimensional transonic potential flows are stable. An experimental investigation on quasi-elliptical aerofoil sections is discussed. The results of this investigation suggest that the theoretical potential flows can be approached arbitrarily close. It is concluded that the use of potential flow theory in the transonic region is equally acceptable as anywhere else in aerodynamics.

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Approximation of the perturbation equations of a quasi-linear hyperbolic system in the neighborhood of a bicharacteristic

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Nonlinear wave propagation in a two-dimensional steady transonic flow

TL;DR: In this article, the history of two nonlinear pulses is computed by numerically integrating the equation of the wave front and its turning effect, owing to a non-zero gradient of the fluid velocity in a direction normal to the streamlines.

Chapter I. Transonic Aerodynamics—History and Statement of the Problem

TL;DR: An historical account is given of the state of transonic aerodynamics research and theorization before 1940, and at selected points between that year and 1975, in order to provide a basis for the understanding and evaluation of the most recent developments in the field.
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Shock-Free Configurations in Two- and Three- Dimensional Transonic Flow,

TL;DR: In this paper, the problem of finding an airfoil in two dimensional, irrotational flow that has a prescribed pressure distribution is addressed, using a fictitious gas for finding shock-free airfoils in the physical plane.