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MIXED EQUATIONS AND TRANSONIC FLOW
Journal of Hyperbolic Differential Equations, 2004This paper reviews the present situation with existence and uniqueness theorems for mixed equations and their application to the problems of transonic flow. Some new problems are introduced and discussed. After a very brief discussion of time-dependent flows (Sec. 1) the steady state and its history is described in Sec. 2. In Secs.
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The Stabilization Law for Transonic Flow
SIAM Journal on Applied Mathematics, 1986The stabilization law for transonic flow expresses the experimentally observed freezing of the local Mach number near the airfoil and ahead of the shock at free stream Mach numbers near one. Mathematically this means that near Mach one the flow over an airfoil is a small perturbation of sonic flow.
F J Zeigler, L. Pamela Cook
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Small unsteady perturbations in transonic flows [PDF]
10th Fluid and Plasmadynamics Conference, 1977 The effects of very small, low-frequency perturbations on steady transonic flows, in the context of twodimensional flows described by the small perturbation equation, are investigated. Previous time-linearized studies failed to account for the shock wave motions that are known to occur.
N. J. Yu, K.-Y. Fung, R. Seebass
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Comparison of transonic flow models
AIAA Journal, 1992During the past 10 years, there has been much discussion of the relative merits of the potential and the Euler formulations of the equations of motion of transonic flow over supercritical wing sections. To study the two models in a common framework, a finite difference version of the Euler solver has been incorporated into the potential code.
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AIAA Journal, 1969
An approximation that can be used to determine how swirl affects the choking constraint on flow through the throat of a nozzle is obtained. The flow model is consistent with an experimentally observed flow pattern that contains a recirculating internal cell upstream of the throat.
W. J. Burns +2 more
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An approximation that can be used to determine how swirl affects the choking constraint on flow through the throat of a nozzle is obtained. The flow model is consistent with an experimentally observed flow pattern that contains a recirculating internal cell upstream of the throat.
W. J. Burns +2 more
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Non-isentropic potential formulation for transonic flows [PDF]
21st Aerospace Sciences Meeting, 1983 A potential equation for nonisentropic transonic flows is formulated. This procedure captures shock waves with Rankine-Hugoniot strengths, but retains the simplicity of the traditional potential equation. Numerical computations are presented that verify the efficiency of the present procedure. It is also shown that Crocco theorem [\textit{L. Crocco}, Z.
Goetz H. Klopfer, David Nixon
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Mathematical Problems in Transonic Flow
Canadian Mathematical Bulletin, 1986AbstractWe present an outline of the problem of irrotational compressible flow past an airfoil at speeds that lie somewhere between those of the supersonic flight of the Concorde and the subsonic flight of commercial airlines. The problem is simplified and the important role of modifying the equations with physics terms is examined.
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Analysis of nonlinear transonic blockage in unsteady transonic flows [PDF]
28th Fluid Dynamics Conference, 1997 Numerical simulation of the oscillation of strong to weak shocks in a Laval nozzle, due to downstream static pressure sinusoidal fluctuations, is presented. The strong shock motion is mainly harmonic. However, static pressure signals, recorded near the shock/boundary layer interaction and on the axis downstream of the shock, show several higher modes ...
P. Ferrand +7 more
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Gurney Flaps in Transonic Flows
2003The application of Gurney flaps to airfoils, high aspect ratio wings and delta wings in transonic flow is being investigated at the Institute of Aerodynamics and Flow Technology of DLR. The present paper gives an overview over these studies explaining the basic working principles and advantages of these trailing edge devices at transonic Mach numbers ...
Rosemann, Henning, Richter, Kai
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A deep learning approach for the transonic flow field predictions around airfoils
Computers & Fluids, 2022C. Duru, Hande Alemdar, O. Baran
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