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Numerical solutions for transonic flow [PDF]
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1949 In a previous paper (Cherry 1947), the author has established a family of exact solutions for steady two-dimensional flow of a compressible fluid past a cylinder; the final formulae are given in theorem 6, equations (5.17) to (5.21). These formulae have now been evaluated (taking γ = 1.405) for the value T 1
T. M. Cherry
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Higher approximations for transonic flows [PDF]
Quarterly of Applied Mathematics, 1971 Using the results of the WKBI method, two hypothetical gases are introduced, whose graphs in the pressure-density plane and that of the polytropic gas have contact of order 4 and 5 at the sonic point. This is in contrast to the fact that such graphs for the Tricomi gas and the generalized Tricomi gas have contact of order 2 and 3, respectively, to that
Nisiki Hayasi
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A smooth transonic flow in the plane [PDF]
Journal of Mathematical Physics, 1984 The implicit function theorem is used to study a symmetric exterior problem for the gas dynamics equation—an equation of mixed type. The existence of families of smooth C1 solutions is demonstrated. These solutions are families of smooth transonic flows in the plane and are of applied interest. Some of these results have appeared in the literature with
P.D. Smith
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Transonic flow on an axially symmetric torus
Journal of Mathematical Analysis and Applications, 1979 AbstractOn a Riemannian manifold the existence (and uniqueness) of subsonic gas flows with prescribed circulation has been previously established (Acta Math. 125 1970, 57–73). If the manifold is a torus of revolution then the gas dynamics equation reduces to a nonlinear ordinary differential equation and the flow can be described explicitly.
L. M. Sibner, Robert J. Sibner
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Prediction of transonic flow over supercritical airfoils using geometric-encoding and deep-learning strategies [PDF]
The Physics of Fluids, 2023 The Reynolds-averaged Navier–Stokes equation for compressible flow over supercritical airfoils under various flow conditions must be rapidly and accurately solved to shorten design cycles for such airfoils.
Zhiwen Deng +9 more
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Resolvent analysis of a finite wing in transonic flow
Flow, 2023 Shock waves interacting with turbulent boundary layers on wings can result first in self-sustained flow unsteadiness and eventually in structural vibration.
J. Houtman, S. Timme, Ati S. Sharma
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Multidimensional transonic shock waves and free boundary problems
Bulletin of Mathematical Sciences, 2022 We are concerned with free boundary problems arising from the analysis of multidimensional transonic shock waves for the Euler equations in compressible fluid dynamics.
Gui-Qiang G. Chen, Mikhail Feldman
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A Unified Asymptotic Theory of Supersonic, Transonic, and Hypersonic Far Fields
Axioms, 2022 The problems of steady, inviscid, isentropic, irrotational supersonic plane flow passing a body with a small thickness ratio was solved by the linearized theory, which is a first approximation at and near the surface but fails at far fields from the body.
Lung-Jieh Yang, Chao-Kang Feng
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Shock Wave Capturing Numerically in Two Dimensional Supersonic Wind Tunnel for Different Configuration [PDF]
Engineering and Technology Journal, 2012 Numerical solutions of two dimensional Euler equations are obtained for transonic and supersonic flows. The shock capturing method is employed to solve compressible Euler equations by using MacCormack's time marching method that an explicit finite ...
Ahmed Fouad Mahdi
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