The Blunt-body Problem in Hypersonic Flow at Low Reynolds Number

The Blunt-body Problem in Hypersonic Flow at Low Reynolds Number

Author: H. K. Cheng

Publisher:

Published: 1963

Total Pages: 136

ISBN-13:

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Existing theoretical analyses and experimental results of the stagnation region in hypersonic flow at low Reynolds number are discussed. The approach based on the thin-shock-layer approxi mation is extended to study flow fields beyond the stagnation region as well as in the shock transition zone. The basic flow model consists of two adjoining thin layers: a shock-transition zone and a shock layer. The system of partial differential equations governing the high-density shock layer reduces to the parabolic type. The system governing the shock-transition zone reduces to ordinary differential equations similar to those of the one-dimensional shock wave. They give rise to a set of conservation relations across the shock, which account for the transport processes immediately behind the shock but do not involve details of shock-wave structure. With the modified Rankine-Hugoniot relations, the flow field in shock layer can be determined independ ently of the shock-transition zone. An essential feature of this formulation is that, when applied in conjunction with nonslip surface conditions, it always yields the appropriate surface heat transfer rate and skin friction (for unit accommo dation coefficients) in the free-molecule limit. (Author).


On Radiative Transfer in the Low Reynolds Number Blunt Body Stagnation Region at Hypersonic Speeds. Part I. Emission Dominated Case

On Radiative Transfer in the Low Reynolds Number Blunt Body Stagnation Region at Hypersonic Speeds. Part I. Emission Dominated Case

Author: Joseph T. C. Liu

Publisher:

Published: 1968

Total Pages: 38

ISBN-13:

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One objective of the paper is to contribute to an understanding of radiative transfer effects in the low Reynolds number or merged layer regime of hypersonic flow about axisymmetric blunt bodies. The other objective is to illustrate how the concept of thin shock layer theory can be extended to the radiative case, where the shock structure and shock layer are radiatively coupled, through the introduction of a psuedo-jump condition across the shock structure, accompanied by an iteration technique. The radiative transfer is simplified to the emission dominated case. The gas is taken as calorically and thermally perfect, the viscosity taken as a linear function of the temperature, and the absorption coefficient of the gas is assumed to be gray. The problem is formulated for the flow about a blunt body but the detailed calculations are carried out for the stagnation region in order to illustrate the techniques used. Radiative cooling decreases the convective heat transfer from the corresponding radiationless case. The additional contributions to the heat transfer due to radiative transfer come from both the shock structure and the shock layer. The relative importance of these contributions are assessed in terms of the rarefaction parameter. Radiative contributions become less important toward the free-molecular range. Radiative cooling decreases the overall shock structure and shock layer thicknesses. (Author).


Viscous, Hypersonic Flow Around a Blunt Body

Viscous, Hypersonic Flow Around a Blunt Body

Author: John Edward Kaiser

Publisher:

Published: 1968

Total Pages: 182

ISBN-13:

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A simplified form of the Navier-Stokes equations was used to describe the flow in the shock layer of a blunt body. The equations are solved near the axis of the body by using the method of series truncation. The main method of solution is a finite difference method, which in principle allows one to handle axisymmetric bodies of arbitrary shape. The body shape is assumed to be given and the bow shock shape is determined step by step. (Author).


Nonequilibrium Blunt Body Flow of Air at Low Reynolds Number

Nonequilibrium Blunt Body Flow of Air at Low Reynolds Number

Author: Arnold J. Galloway

Publisher:

Published: 1972

Total Pages: 132

ISBN-13:

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The report treats the nonequilibrium air flow around blunt bodies at high altitudes and reentry conditions. The inverse method is employed, and a reduced form of the Navier-Stokes equations is solved by finite difference techniques. Solutions are obtained for the flow around bodies which generate spherical, parabolic, and hyperbolic shock shapes. Body shapes closely resembling spherically blunted cones are obtained. The present solutions are compared with a very limited data base and other calculations. The results are shown to agree reasonably well with the data and the independent calculations.


Hypersonic Flow Research

Hypersonic Flow Research

Author: F.R. Riddell

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 769

ISBN-13: 0323142621

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Progress in Astronautics and Rocketry, Volume 7: Hypersonic Flow Research compiles papers presented at a conference on hypersonics held at the Massachusetts Institute of Technology in August 1961. This book discusses the low Reynolds number effects, chemical kinetics effects, inviscid flow calculations, and experimental techniques relating to the problems in acquiring an understanding of hypersonic flow. The structure and composition of hypersonic wakes with attendant complex chemical kinetic effects is only briefly mentioned. This text consists of five parts. Parts A to C comprise of theoretical papers on the problems of calculating flow fields at hypersonic speeds. The experimental techniques that are of immediate practical interest in view of the difficulty of flight testing are discussed in Parts D and E. This publication is beneficial to engineers involved in advanced design problems.


Super- and Hypersonic Aerodynamics and Heat Transfer

Super- and Hypersonic Aerodynamics and Heat Transfer

Author: V.Z. Parton

Publisher: Routledge

Published: 2018-03-29

Total Pages: 352

ISBN-13: 1351412949

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Recent government and commercial efforts to develop orbital and suborbital passenger and transport aircraft have resulted in a burgeoning of new research. The articles in this book, translated from Russian, were contributed by the world's leading authorities on supersonic and hypersonic flows and heat transfer. This superb book addresses the physics and engineering aspects of ultra high-speed aerodynamic problems. Thorough coverage is given to an array of specific problem-solving equations. Super- and Hypersonic Aerodynamics and Heat Transfer will be essential reading for all aeronautical engineers, mechanical engineers, mathematicians, and physicists involved in this exciting field of research.