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A Theory of Supercritical Wing Sections, with Computer Programs and Examples

A Theory of Supercritical Wing Sections, with Computer Programs and Examples PDF Author: F. Bauer
Publisher: Springer Science & Business Media
ISBN: 3642806783
Category : Business & Economics
Languages : en
Pages : 218

Book Description
At present, there is considerable interest in supercritical wing technology for the development of aircraft designed to fly near the speed of sound. The basic principle is the suppression of boundary layer separation by shifting the shock waves that occur on the wing toward the trailing edge and making them as weak as possible. The purpose of this report is to make available to the engineering public mathematical methods for the design of supercritical wings. These methods depend on the numerical solution of the partial differential equations of two-dimensional gas dynamics. The main contribution is a computer program for the design of shockless transonic airfoils using the hodograph transformation and analytic continuation into the complex domain. Another contribution is a program for the analysis of transonic flow with shocks past an airfoil at off-design conditions. In our design work we include a turbulent boundary layer correction. Part I of the paper is devoted to a description of the mathemati cal theory and need not be studied by those primarily concerned with running the programs. Part II is a manual for users of our programs which is independent of the theoretical part. In Part III and in Appendices II and III we give numerical examples and discuss computa tional results. The main substance of the report, however, is contained in the listing of the computer programs themselves in Appendix IV. We have used the Fortran language throughout and we have included numerous comment cards in the listing.

A Theory of Supercritical Wing Sections, with Computer Programs and Examples

A Theory of Supercritical Wing Sections, with Computer Programs and Examples PDF Author: F. Bauer
Publisher: Springer Science & Business Media
ISBN: 3642806783
Category : Business & Economics
Languages : en
Pages : 218

Book Description
At present, there is considerable interest in supercritical wing technology for the development of aircraft designed to fly near the speed of sound. The basic principle is the suppression of boundary layer separation by shifting the shock waves that occur on the wing toward the trailing edge and making them as weak as possible. The purpose of this report is to make available to the engineering public mathematical methods for the design of supercritical wings. These methods depend on the numerical solution of the partial differential equations of two-dimensional gas dynamics. The main contribution is a computer program for the design of shockless transonic airfoils using the hodograph transformation and analytic continuation into the complex domain. Another contribution is a program for the analysis of transonic flow with shocks past an airfoil at off-design conditions. In our design work we include a turbulent boundary layer correction. Part I of the paper is devoted to a description of the mathemati cal theory and need not be studied by those primarily concerned with running the programs. Part II is a manual for users of our programs which is independent of the theoretical part. In Part III and in Appendices II and III we give numerical examples and discuss computa tional results. The main substance of the report, however, is contained in the listing of the computer programs themselves in Appendix IV. We have used the Fortran language throughout and we have included numerous comment cards in the listing.

A theory of supercritical wing sections, with computer programs and examples

A theory of supercritical wing sections, with computer programs and examples PDF Author: Frances Bauer
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description


A Theory of Supercritical Wing Sections

A Theory of Supercritical Wing Sections PDF Author: Frances Bauer
Publisher: Springer
ISBN:
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Book Description


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A theory of supercritical wing sections, with computer programs and examples

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Publisher:
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Mathematical Methods in Aerodynamics

Mathematical Methods in Aerodynamics PDF Author: Lazãr Dragos
Publisher: Springer Science & Business Media
ISBN: 9781402016639
Category : Mathematics
Languages : en
Pages : 626

Book Description
The book provides a solid and unitary mathematical foundation of the basic and advanced principles of aerodynamics. The densities of the fundamental solutions are determined from singular integral equations. The fundamental solutions method in aerodynamics was considered for the first time and used by the author in over 30 papers published in prestigious journals (e.g. QAM, AIAA, ZAMM, etc) in order to develop a unitary theory. The boundary element method is used for numerical approximations in compressible aerodynamics. The text incorporates several original contributions, among other traditional mathematical methods. The book also represents a comprehensive presentation of research results since the seminal books on aerodynamics of Ashley and Landahl (1965) and Katz & Plotkin (1991). A rigorous mathematical approach is used to present and explain classic and modern results in this field of science. The author has therefore conceived several appendices on the Distribution Theory, the singular Integral Equations Theory, the Finite Part, Gauss Quadrature Formulae, etc. The book is concluded by a relevant bibliographical list which is especially useful for researchers. The book is aimed primarily at applied mathematicians, aeronautical engineers and space science researchers. The text may be used also as a comprehensive introduction to the mathematical foundations fo aerodynamics, by graduate students n engineering and fluid dynamics with a strong mathematical background.

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Publisher:
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Nonlinear Functional Analysis and its Applications PDF Author: E. Zeidler
Publisher: Springer Science & Business Media
ISBN: 1461245664
Category : Mathematics
Languages : en
Pages : 1007

Book Description
The fourth of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self-contained and accessible to the non-specialist, and topics covered include applications to mechanics, elasticity, plasticity, hydrodynamics, thermodynamics, statistical physics, and special and general relativity including cosmology. The book contains a detailed physical motivation of the relevant basic equations and a discussion of particular problems which have played a significant role in the development of physics and through which important mathematical and physical insight may be gained. It combines classical and modern ideas to build a bridge between the language and thoughts of physicists and mathematicians. Many exercises and a comprehensive bibliography complement the text.

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ISBN:
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Publisher: Cambridge University Press
ISBN: 1108837883
Category : Science
Languages : en
Pages : 627

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Learn the design and analysis of numerical algorithms for aerodynamics. Ideal for graduates, researchers, and professionals in the field.