Mathematical Methods In Aerodynamics
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Mathematical Methods In Aerodynamics
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Author : Lazãr Dragos
language : en
Publisher: Springer Science & Business Media
Release Date : 2003
Mathematical Methods In Aerodynamics written by Lazãr Dragos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
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.
Mathematical Methods In Aerodynamics
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Author : Lazăr Dragoş
language : en
Publisher:
Release Date : 2003-01-01
Mathematical Methods In Aerodynamics written by Lazăr Dragoş and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with Aerodynamics categories.
Mathematical Methods In Aerodynamics
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Author : Lazãr Dragos
language : en
Publisher: Springer
Release Date : 2004-03-14
Mathematical Methods In Aerodynamics written by Lazãr Dragos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-14 with Science categories.
The researchers in Aerodynamics know that there is not a unitary method of investigation in this field. The first mathematical model of the air plane wing, the model meaning the integral equation governing the phe nomenon, was proposed by L. Prandtl in 1918. The integral equation deduced by Prandtl, on the basis of some assumptions which will be specified in the sequeL furnishes the circulation C(y) (see Chapter 6). U sing the circulation, one calculates the lift and moment coefficients, which are very important in Aerodynamics. The first hypothesis made by Prandtl consists in replacing the wing by a distribution of vortices on the plan-form D of the wing (i. e. the projection of the wing on the plane determined by the direction of the uniform stream at infinity and t he direction of the span of the wing). Since such a distribution leads to a potential flow in the exterior of D and the experiences show that downstream the flow has not this character, Prandtl introduces as a sup plementary hypothesis another vortices distribution on the trace of the domain D in the uniform stream. The first kind of vortices are called tied vortices and the second kind of vortices are called free vortices.
Mathematical Methods Of Airfoil Design
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Author : Alexander M. Elizarov
language : en
Publisher: Wiley-VCH
Release Date : 1997-07-15
Mathematical Methods Of Airfoil Design written by Alexander M. Elizarov and has been published by Wiley-VCH this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-07-15 with Mathematics categories.
Devoted to the theory of aerodynamic design of subsonic airfoils. It presents the results of more than thirty years research in Russia as well as research by new authors. The state-of-the-art situation in this theory is fully reflected.
Transonic Aerodynamics
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Author : L. Pamela Cook
language : en
Publisher: SIAM
Release Date : 1993-01-01
Transonic Aerodynamics written by L. Pamela Cook and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-01 with Technology & Engineering categories.
This volume offers exciting results, perspectives, and case studies for the treatment of problems arising in transonic aerodynamics. New advances including triple deck theory, analysis of stagnation at the nose of a body, transonic choked flow, and the transonic area rule are presented. Interest in analyzing the transonic range of flight, its stability properties, and especially the question of designing reduced drag (shockless or weak shock) airfoils keeps growing. Present day commercial aircraft cruise in the transonic range. Mechanical and aeronautical engineers interested in compressible fluid flows, design of optimal wings, and an understanding of transonic flow held about wings and airfoils will find the book invaluable. This book is understandable to those with a knowledge of continuum mechanics (fluids) and asymptotic methods. It is appropriate for graduate courses in aerodynamics and mathematical methods.
Variational Analysis And Aerospace Engineering
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Author : Aldo Frediani
language : en
Publisher: Springer
Release Date : 2016-12-27
Variational Analysis And Aerospace Engineering written by Aldo Frediani and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-27 with Mathematics categories.
This book presents papers surrounding the extensive discussions that took place from the ‘Variational Analysis and Aerospace Engineering’ workshop held at the Ettore Majorana Foundation and Centre for Scientific Culture in 2015. Contributions to this volume focus on advanced mathematical methods in aerospace engineering and industrial engineering such as computational fluid dynamics methods, optimization methods in aerodynamics, optimum controls, dynamic systems, the theory of structures, space missions, flight mechanics, control theory, algebraic geometry for CAD applications, and variational methods and applications. Advanced graduate students, researchers, and professionals in mathematics and engineering will find this volume useful as it illustrates current collaborative research projects in applied mathematics and aerospace engineering.
Variational Analysis And Aerospace Engineering
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Author : Giuseppe Buttazzo
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-08-21
Variational Analysis And Aerospace Engineering written by Giuseppe Buttazzo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-21 with Mathematics categories.
The Variational Analysis and Aerospace Engineering conference held in Erice, Italy in September 2007 at International School of Mathematics, Guido Stampacchia provided a platform for aerospace engineers and mathematicians to discuss the problems requiring an extensive application of mathematics. This work contains papers presented at the workshop.
Computational Aerodynamics
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Author : Antony Jameson
language : en
Publisher: Cambridge University Press
Release Date : 2022-09
Computational Aerodynamics written by Antony Jameson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09 with Science categories.
Learn the design and analysis of numerical algorithms for aerodynamics. Ideal for graduates, researchers, and professionals in the field.
Mathematical Models And Methods Of Localized Interaction Theory
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Author : Abram I. Bunimovich
language : en
Publisher: World Scientific
Release Date : 1995
Mathematical Models And Methods Of Localized Interaction Theory written by Abram I. Bunimovich and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
The interaction of the environment with a moving body is called ?localized? if it has been found or assumed that the force or/and thermal influence of the environment on each body surface point is independent and can be determined by the local geometrical and kinematical characteristics of this point as well as by the parameters of the environment and body?environment interactions which are the same for the whole surface of contact.Such models are widespread in aerodynamics and gas dynamics, covering supersonic and hypersonic flows, and rarefied gas flows. They describe the influence of light on a body, and are used for modelling penetration of solids into metals and soils, etc.Localized Interaction Theory (LIT) studies various theoretical and applied problems using the most general description of the influence of the environment on the body. This makes it possible to integrate results obtained from different models and to create new universal methods that can be used for various conditions, even if the description of the real interaction model is unknown. Such a unified approach to the problems of analysis, calculation and optimization of the integral characteristics of bodies moving in different media is the main content of this book which is the first monograph on this subject. Many applications, chiefly in aerodynamics and space engineering are presented.
Mathematics In Action
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Author : Oliver Graham Sutton
language : en
Publisher:
Release Date : 1984
Mathematics In Action written by Oliver Graham Sutton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.
According to Sir Graham Sutton, "The task of the applied mathematician is exactly that of using the tools provided by pure mathematics to clarify and extend the observations of the physicist." Phenomena must be measured and reduced to number in order to become part of the body of scientific knowledge. It is the purpose of this book to show that process in action. Unlike many texts in this area, this straightforward account is written for the layman, and is accessible to high school students and undergraduates - anyone with a grasp of rudimentary calculus. Moreover, its generalized view of the topic makes the book of special interest to young mathematicians, physicists and engineers. In illuminating the nature of applied mathematics and its influence on modern ideas concerning the physical nature of the universe, the author illustrates his points with examples from ballistics, automatic calculating machines, radio waves, atoms and electrons, theory of flight, statistics and meterology. The book is divided into seven chapters: I. The Mathematician and his Task - II. Tools of the trade - III. Ballistics, or Newtonian dynamics in war - IV. An essay on waves - V. Mathematics of flight -- VI. Statistics, or the weighing of evidence - VII. Mathematics and the weather. In the first two chapters, Sir Graham gives a lucid account of the role of the mathematician in applied sicence and the nature of his tools, covering such topics as theories of physics, mathematical techniques, complex numbers, new geometries and atomistic and field theories of physics. The remaining five chapters are devoted to specific applications in ballistics (gunnery as an exact science, calculation of trajectories, etc), waves (waves in the natural world, Fourier series, waves and particles, etc.) mathematics of flight (fundamentals of fluid motion theory, Joukowski's solution of the two dimension aerofoil problem, etc.), as well as applications in statistics and meteorology. -- from back cover.