The Singular Nature of Three-dimensional Perturbations of Boundary Layers and the Small Cross Flow Theory PDF Download
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Author: Raymond Sedney
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 26
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Book Description
Three-dimensional perturbations on two-dimensional boundary layer flows are considered. First initially induced perturbations are studied and a general solution obtained. Second a specific externally induced perturbation is discussed. In both the streamwise velocity perturbation becomes infinite but the cross flow decays as downstream infinity is approached. This implies that the small cross flow approximation is a singular perturbation. The basis for this lies in the fact that the nature of the equations is changed by the approximation, viz., the zone of dependence property is lost.
Author: Raymond Sedney
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 26
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Book Description
Three-dimensional perturbations on two-dimensional boundary layer flows are considered. First initially induced perturbations are studied and a general solution obtained. Second a specific externally induced perturbation is discussed. In both the streamwise velocity perturbation becomes infinite but the cross flow decays as downstream infinity is approached. This implies that the small cross flow approximation is a singular perturbation. The basis for this lies in the fact that the nature of the equations is changed by the approximation, viz., the zone of dependence property is lost.
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 248
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Book Description
Author: C.M. Brauner
Publisher: Springer
ISBN: 3540373403
Category : Mathematics
Languages : en
Pages : 551
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Book Description
Author: Raymond Sedney
Publisher:
ISBN:
Category :
Languages : en
Pages : 54
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Book Description
The study of three-dimensional boundary layers is synonymous with the study of cross flow or streamwise vorticity in the boundary layer. The research is concerned with the initial value problem for the 3-D boundary layer equations. Results are reported on exact solutions for the decay of streamwise vorticity, on a combined oil-flow--optical method of visualizing the surface flow field in the presence of 3D protuberances, and nonuniform behavior of the small crossflow approximation.
Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 636
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Book Description
Author: Raymond Sedney
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 56
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Book Description
The primary purpose of this report is to survey the available information mainly experimental, on the subject. Most attention is given to the complex flow field resulting when a 3-D protuberance is introduced into a laminar boundary layer; less can be said about the turbulent case or 2-D protuberances because enough detailed, careful experiments have not been made. There are some features of the induced flow fields common to all speed ranges; applications range from flow in the atmospheric boundary layer to hypersonic vehicle problems. Some attempts to analyze the downstream flow are also summarized.
Author: J. C. Cooke
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 52
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Book Description
Recent adances in the theory of three-dimensional boundary layers are discussed in three main parts. The first part consists of general considerations. The boundary layer equations for laminar compressible flow, and the corresponding momentum integral equations, are written down, in an orthogonal curvilinear system of co-ordinates. Special forms for streamline and geodesic co-rdinates are also given. Cross-flows are then discussed, and this is followed by an account of an axially symmetric analogy and a compressibility correlation that hold when cross-flows are small. In the second part, the extensive exact solutions of Yohner and Hansen for the boundary layer having similar solutions or combinations of similar solutions, and of Sedney - for the boundary layer on a yawed spinning cone, are described. The third part concerns momentum integral methods in which streamline co-ordinates are employed. Works by Timman and Hall are described, and are contrasted as examples of extensions to three dimensions of the Pohlhausen and the Thwaites approaches respectively. The methods of Zaat and Cooke for(liminar) boundary layers with small cross-flow are then presented. (Author).
Author: Hermann Schlichting (Deceased)
Publisher: Springer
ISBN: 366252919X
Category : Technology & Engineering
Languages : en
Pages : 814
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Book Description
This new edition of the near-legendary textbook by Schlichting and revised by Gersten presents a comprehensive overview of boundary-layer theory and its application to all areas of fluid mechanics, with particular emphasis on the flow past bodies (e.g. aircraft aerodynamics). The new edition features an updated reference list and over 100 additional changes throughout the book, reflecting the latest advances on the subject.
Author: Y. Y. Chan
Publisher: 1969.
ISBN:
Category :
Languages : en
Pages : 24
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Book Description
Three-dimensional laminar boundary layers with suction or injection are examined by using an approximate method based on a small cross-flow assumption. The basic equations are derived in detail and the computational method is developed. The method is tested against exact solutions and is found to be reasonably accurate. Two examples with the same external condition, but with different surface conditions, are analyzed. In one case the distribution of the normal velocity at the surface satisfies the similarity requirement and in the other case the normal velocity is constant over the complete surface. Although the results of these two cases are different in detail, the general trend of both shows that the three-dimensional behaviour of the boundary layer diminishes with suction and amplifies with injection. (Author).
Author: Herrmann Schlichting
Publisher: Springer Science & Business Media
ISBN: 9783540662709
Category : Technology & Engineering
Languages : en
Pages : 840
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Book Description
A new edition of the almost legendary textbook by Schlichting completely revised by Klaus Gersten is now available. This book presents a comprehensive overview of boundary-layer theory and its application to all areas of fluid mechanics, with emphasis on the flow past bodies (e.g. aircraft aerodynamics). It contains the latest knowledge of the subject based on a thorough review of the literature over the past 15 years. Yet again, it will be an indispensable source of inexhaustible information for students of fluid mechanics and engineers alike.
