A Study of the Interaction of a Laminar Hypersonic Boundary Layer with a Corner Expansion Wave [microform] PDF Download
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Author: A. K. Lo
Publisher: National Library of Canada
ISBN:
Category :
Languages : en
Pages :
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![A Study of the Interaction of a Laminar Hypersonic Boundary Layer with a Corner Expansion Wave [microform] PDF](https://books.google.com/books/content/images/frontcover/m67snQEACAAJ?fife=w80-h100)
Author: A. K. Lo
Publisher: National Library of Canada
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: A. K. Lo
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 48
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Author: A. K. Lo
Publisher:
ISBN:
Category : Aerodynamics, Hypersonic
Languages : en
Pages : 48
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The thesis describes a study of the application of Dorodnitsyn's method of integral relations and some related techniques belonging to the method of weighted residuals to hypersonic laminar boundary layer problems. Numerical Galerkin-Dorodnitsyn single strip solutions to the viscous-inviscid equations are presented for small turning angles, corner radii comparable to the boundary layer thickness and distances downstream to the point where transverse pressure gradients become negligible. The results show small upstream influence, extended downstream boundary layer-expansion wave interaction, significant pressure differences across the boundary layer, and weak overexpansion of the pressure at the edge of the layer. They also show a peak in heat transfer and skin friction at the corner, and suggest that the extent of the interaction would not be detected by measuring wall pressure. Comparisons of the methods are also made for boundary layer obeying the classical Prandtl equations. (Author).
Author: Philip A. Sullivan
Publisher:
ISBN:
Category : Aerodynamics, Hypersonic
Languages : en
Pages : 15
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A simple method of calculating the extent of the interaction of a corner expansion wave with a hypersonic boundary layer is presented. Arguments are presented to suggest that for small turning angles the principal feature of the flow is the interaction of the boundary layer and the expansion wave downstream of the corner. The net result is a large increase in the thickness of the boundary layer, and a greatly extended region of pressure decay. Numerical results based on the 'cold wall' or local similarity approximation are given. (Author).
Author: P. H. Oosthuizen
Publisher:
ISBN:
Category : Aerodynamics, Supersonic
Languages : en
Pages : 41
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A theoretical study of the effects of the wall boundary layer on the supersonic flow around a sharp convex corner is presented. Fundamentally different methods of analysis are adopted for laminar and for turbulent boundary layers. In the case of interactions involving laminar boundary layers, an analysis based on the use of classical boundary layer theory is used. Results of numerical calculations carried out using this analysis to predict the effects of the major governing parameters are presented. In all cases, a considerable upstream and downstream influence is predicted. A simplified form of this analysis, closely related to that of Curle, is also presented, this analysis leading to a simple set of explicit equations describing the flow quantities in the interaction region. Comparison of the simplified analysis with results obtained from the full analysis indicated, as is to be expected, that the simplified analysis will only give acceptable results for small expansion angles and moderate Mach numbers. In the case of turbulent boundary layer interactions, an analysis based on the assumption that there is no upstream influence and that the major portion of the expansion occurs in an effectively inviscid manner is adopted, the flow properties being calculated by the method of rotational characteristics. (Author).
Author: B. K. Hodge
Publisher:
ISBN:
Category : Aerodynamics, Hypersonic
Languages : en
Pages : 52
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This report presents the results of an investigation of hypersonic laminar boundary-layer/shock-wave interactions using the method of MacCormack to solve the time-dependent compressible Navier-Stokes equations. Comparisons of the numerical solutions with experimental data were made to ascertain the validity of the numerical method and to identify regions of anomalous behavior. The algorithm gave good results when applied to hypersonic laminar interactions that caused either small or no separated regions and marginal performance when applied to hypersonic laminar interactions having large regions of separated flow. The extents of the separated regions in interactions having large regions of separated flow were underpredicted when compared with experimental data. The predicted wall heat-transfer rates exhibited the correct qualitative trend but not the experimentally measured quantitative values. Consideration of the effects of needed stabilizing terms as well as grid resolution suggests inadequate mesh spacing in the longitudinal direction as the cause of the aforementioned anomalies. If inadequate mesh spacing (and the corresponding lack of support for every term of the Navier-Stokes equations) is a prime cause of the cited discrepancies between the numerical results and the experimental data, then the needed reduction of several orders of magnitude in delta x, would increase CPU time and core storage requirements to untenable levels. (Author).
Author: William H. Dorrance
Publisher: Courier Dover Publications
ISBN: 0486822583
Category : Technology & Engineering
Languages : en
Pages : 353
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Designed for advanced undergraduate and graduate courses in modern boundary-layer theory, this frequently cited work offers a self-contained treatment of theories for treating laminar and turbulent boundary layers of reacting gas mixtures. 1962 edition.
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 392
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
This report presents the results of an investigation of hypersonic laminar boundary-layer/shock-wave interactions using the method of MacCormack to solve the time-dependent compressible Navier-Stokes equations. Comparisons of the numerical solutions with experimental data were made to ascertain the validity of the numerical method and to identify regions of anomalous behavior. The algorithm gave good results when applied to hypersonic laminar interactions that caused either small or no separated regions and marginal performance when applied to hypersonic laminar interactions having large regions of separated flow. The extents of the separated regions in interactions having large regions of separated flow were underpredicted when compared with experimental data. The predicted wall heat-transfer rates exhibited the correct qualitative trend but not the experimentally measured quantitative values. Consideration of the effects of needed stabilizing terms as well as grid resolution suggests inadequate mesh spacing in the longitudinal direction as the cause of the aforementioned anomalies. If inadequate mesh spacing (and the corresponding lack of support for every term of the Navier-Stokes equations) is a prime cause of the cited discrepancies between the numerical results and the experimental data, then the needed reduction of several orders of magnitude in delta x, would increase CPU time and core storage requirements to untenable levels. (Author).
