Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Mathematical Methods in Aerodynamics PDF full book. Access full book title Mathematical Methods in Aerodynamics by Lazãr Dragos. Download full books in PDF and EPUB format.
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.
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.
Author: Lazãr Dragos Publisher: Springer ISBN: 9789401512480 Category : Science Languages : en Pages : 0
Book Description
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.
Author: Alexander M. Elizarov Publisher: Wiley-VCH ISBN: Category : Mathematics Languages : en Pages : 300
Book Description
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.
Author: L. Pamela Cook Publisher: SIAM ISBN: 9781611970975 Category : Technology & Engineering Languages : en Pages : 100
Book Description
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.
Author: Aldo Frediani Publisher: Springer ISBN: 3319456806 Category : Mathematics Languages : en Pages : 535
Book Description
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.
Author: Giuseppe Buttazzo Publisher: Springer Science & Business Media ISBN: 0387958576 Category : Mathematics Languages : en Pages : 527
Book Description
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.
Author: Oliver Graham Sutton Publisher: ISBN: Category : Mathematics Languages : en Pages : 262
Book Description
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.
Author: G. D. McBain Publisher: John Wiley & Sons ISBN: 1118346289 Category : Technology & Engineering Languages : en Pages : 357
Book Description
Starting from a basic knowledge of mathematics and mechanics gained in standard foundation classes, Theory of Lift: Introductory Computational Aerodynamics in MATLAB/Octave takes the reader conceptually through from the fundamental mechanics of lift to the stage of actually being able to make practical calculations and predictions of the coefficient of lift for realistic wing profile and planform geometries. The classical framework and methods of aerodynamics are covered in detail and the reader is shown how they may be used to develop simple yet powerful MATLAB or Octave programs that accurately predict and visualise the dynamics of real wing shapes, using lumped vortex, panel, and vortex lattice methods. This book contains all the mathematical development and formulae required in standard incompressible aerodynamics as well as dozens of small but complete working programs which can be put to use immediately using either the popular MATLAB or free Octave computional modelling packages. Key features: Synthesizes the classical foundations of aerodynamics with hands-on computation, emphasizing interactivity and visualization. Includes complete source code for all programs, all listings having been tested for compatibility with both MATLAB and Octave. Companion website (www.wiley.com/go/mcbain) hosting codes and solutions. Theory of Lift: Introductory Computational Aerodynamics in MATLAB/Octave is an introductory text for graduate and senior undergraduate students on aeronautical and aerospace engineering courses and also forms a valuable reference for engineers and designers.
Author: Ethirajan Rathakrishnan Publisher: John Wiley & Sons ISBN: 1118479378 Category : Technology & Engineering Languages : en Pages : 560
Book Description
Theoretical Aerodynamics is a user-friendly text for a full course on theoretical aerodynamics. The author systematically introduces aerofoil theory, its design features and performance aspects, beginning with the basics required, and then gradually proceeding to higher level. The mathematics involved is presented so that it can be followed comfortably, even by those who are not strong in mathematics. The examples are designed to fix the theory studied in an effective manner. Throughout the book, the physics behind the processes are clearly explained. Each chapter begins with an introduction and ends with a summary and exercises. This book is intended for graduate and advanced undergraduate students of Aerospace Engineering, as well as researchers and Designers working in the area of aerofoil and blade design. Provides a complete overview of the technical terms, vortex theory, lifting line theory, and numerical methods Presented in an easy-to-read style making full use of figures and illustrations to enhance understanding, and moves well simpler to more advanced topics Includes a complete section on fluid mechanics and thermodynamics, essential background topics to the theory of aerodynamics Blends the mathematical and physical concepts of design and performance aspects of lifting surfaces, and introduces the reader to the thin aerofoil theory, panel method, and finite aerofoil theory Includes a Solutions Manual for end-of-chapter exercises, and Lecture slides on the book's Companion Website
Author: Lazãr Dragos
Author: Lazãr Dragos
Author: Lazãr Dragos
Author: Lazăr Dragoş
Author: Alexander M. Elizarov
Author: L. Pamela Cook
Author: Aldo Frediani
Author: Giuseppe Buttazzo
Author: Oliver Graham Sutton
Author: G. D. McBain
Author: Ethirajan Rathakrishnan