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Perturbation of a discontinuous transonic flow

15th Aerospace Sciences Meeting, 1977
The main difficulty in perturbing a discontinuous transonic flow is in the representation of the shift in the location of the discontinuity (shock wave). Herein presented is a method of overcoming this difficulty by using a distorted airfoil as the initial case rather than the real physical airfoil; the distortion is chosen such that the shock location
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Mathematical Problems in Transonic Flow

Canadian Mathematical Bulletin, 1986
AbstractWe 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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Modern Developments in Transonic Flow

SIAM Journal on Applied Mathematics, 1975
A survey is given of transonic small disturbance theory. Basic equations, shock relations, similarity laves, lift and drag integrals are derived., The airfoil boundary value problem is formulated. Finite difference methods and computational algorithms are described. Results are compared with other calculation methods and experiments.
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Transonic Flows

2015
Abstract This chapter considers the far field in the two-dimensional flow past an arbitrary body, assuming that M∞ = 1 .The corresponding solution of the Euler equations can be found in a self-similar form. In this solution, the flow, that is subsonic in front of the body, experiences acceleration to become supersonic before it reaches a
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Applications: Transonic Flows

2018
Solid surfaces in like actuators, fluid mechanical models and surrounding walls can influence the fluid flow and/or can be deformed or displaced by it. The knowledge of the actual surface shape and location is therefore important for many fluid mechanical investigations.
Markus Raffel   +5 more
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The simulation of unsteady transonic flow and the stability of a transonic boundary layer

Journal of Applied Mathematics and Mechanics, 2005
The authors discuss modification of a model (see \textit{O. S. Ryzhov} [Sov. Phys. Dokl. 22(1977), 537--539 (1978; Zbl 0359.76036)]) for investigation of free nonstationary visco-nonviscous interaction at transonic velocities. The model modification consists in taking into account a singular term of transonic extension and allows to refine the Lin ...
Bogdanov, A. N., Diesperov, V. N.
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Transonic Vortical Flow

1989
Transonic flow is generally associated with the inviscid fluid effects when a flow with a freestream Mach number M ∞ ≃ 1 accelerates to locally supersonic velocities, or decelerates to locally subsonic velocities, as it moves streamwise past a body. However, transonic flows can occur in many other circumstances such as on high lift devices at low M ...
E. M. Murman   +2 more
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Transonic swirling flow.

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. S. LEWELLEN   +2 more
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Non-isentropic potential formulation for transonic flows

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.
Klopfer, Goetz H., Nixon, David
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Analysis of nonlinear transonic blockage in unsteady transonic flows

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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