Mathematical Methods In Aerodynamics

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Mathematical Methods in Aerodynamics

Author : Lazãr Dragos
Publisher : Springer Science & Business Media
ISBN 13 : 9781402016639
Total Pages : 626 pages
Book Rating : 4.0/5 (166 download)

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Book Synopsis Mathematical Methods in Aerodynamics by : Lazãr Dragos

Download or read book Mathematical Methods in Aerodynamics written by Lazãr Dragos and published by Springer Science & Business Media. This book was released on 2003 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Lazăr Dragoş
Publisher :
ISBN 13 : 9789732709863
Total Pages : 573 pages
Book Rating : 4.7/5 (98 download)

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Book Synopsis Mathematical Methods in Aerodynamics by : Lazăr Dragoş

Download or read book Mathematical Methods in Aerodynamics written by Lazăr Dragoş and published by . This book was released on 2003-01-01 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Methods in Aerodynamics

Author : Lazãr Dragos
Publisher : Springer
ISBN 13 : 9789401512480
Total Pages : 0 pages
Book Rating : 4.5/5 (124 download)

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Book Synopsis Mathematical Methods in Aerodynamics by : Lazãr Dragos

Download or read book Mathematical Methods in Aerodynamics written by Lazãr Dragos and published by Springer. This book was released on 2004-03-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Alexander M. Elizarov
Publisher : Wiley-VCH
ISBN 13 :
Total Pages : 300 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Methods of Airfoil Design by : Alexander M. Elizarov

Download or read book Mathematical Methods of Airfoil Design written by Alexander M. Elizarov and published by Wiley-VCH. This book was released on 1997-07-15 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : L. Pamela Cook
Publisher : SIAM
ISBN 13 : 9781611970975
Total Pages : 100 pages
Book Rating : 4.9/5 (79 download)

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Book Synopsis Transonic Aerodynamics by : L. Pamela Cook

Download or read book Transonic Aerodynamics written by L. Pamela Cook and published by SIAM. This book was released on 1993-01-01 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Theory of Lift

Author : G. D. McBain
Publisher : John Wiley & Sons
ISBN 13 : 1118346289
Total Pages : 357 pages
Book Rating : 4.1/5 (183 download)

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Book Synopsis Theory of Lift by : G. D. McBain

Download or read book Theory of Lift written by G. D. McBain and published by John Wiley & Sons. This book was released on 2012-05-22 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Variational Analysis and Aerospace Engineering

Author : Aldo Frediani
Publisher : Springer
ISBN 13 : 3319456806
Total Pages : 535 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Variational Analysis and Aerospace Engineering by : Aldo Frediani

Download or read book Variational Analysis and Aerospace Engineering written by Aldo Frediani and published by Springer. This book was released on 2016-12-27 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computational Aerodynamics

Author : Antony Jameson
Publisher : Cambridge University Press
ISBN 13 : 1108950280
Total Pages : 632 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Computational Aerodynamics by : Antony Jameson

Download or read book Computational Aerodynamics written by Antony Jameson and published by Cambridge University Press. This book was released on 2022-09-01 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational aerodynamics is a relatively new field in engineering that investigates aircraft flow fields via the simulation of fluid motion and sophisticated numerical algorithms. This book provides an excellent reference to the subject for a wide audience, from graduate students to experienced researchers and professionals in the aerospace engineering field. Opening with the essential elements of computational aerodynamics, the relevant mathematical methods of fluid flow and numerical methods for partial differential equations are presented. Stability theory and shock capturing schemes, and vicious flow and time integration methods are then comprehensively outlined. The final chapters treat more advanced material, including energy stability for nonlinear problems, and higher order methods for unstructured and structured meshes. Presenting over 150 illustrations, including representative calculations on unstructured meshes in color. This book is a rich source of information that will be of interest and importance in this pioneering field.

Mathematics in Action

Author : Oliver Graham Sutton
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (649 download)

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Book Synopsis Mathematics in Action by : Oliver Graham Sutton

Download or read book Mathematics in Action written by Oliver Graham Sutton and published by . This book was released on 1962 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Variational Analysis and Aerospace Engineering

Author : Giuseppe Buttazzo
Publisher : Springer Science & Business Media
ISBN 13 : 0387958576
Total Pages : 527 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Variational Analysis and Aerospace Engineering by : Giuseppe Buttazzo

Download or read book Variational Analysis and Aerospace Engineering written by Giuseppe Buttazzo and published by Springer Science & Business Media. This book was released on 2009-08-21 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Theoretical Aerodynamics

Author : Ethirajan Rathakrishnan
Publisher : John Wiley & Sons
ISBN 13 : 1118479378
Total Pages : 560 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis Theoretical Aerodynamics by : Ethirajan Rathakrishnan

Download or read book Theoretical Aerodynamics written by Ethirajan Rathakrishnan and published by John Wiley & Sons. This book was released on 2013-03-26 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Aerodynamics of a Lifting System in Extreme Ground Effect

Author : Kirill V. Rozhdestvensky
Publisher : Springer Science & Business Media
ISBN 13 : 3662042401
Total Pages : 358 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Aerodynamics of a Lifting System in Extreme Ground Effect by : Kirill V. Rozhdestvensky

Download or read book Aerodynamics of a Lifting System in Extreme Ground Effect written by Kirill V. Rozhdestvensky and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the memory of a distinguished Russian engineer, Rostislav E. Alexeyev, who was the first in the world to develop the largest ground effect machine - Ekranoplan. One of Alexeyev's design concepts with the aerodynamic configuration of a jlying wing can be seen on the front page. The book presents a description of a mathematical model of flow past a lifting system, performing steady and unsteady motions in close proximity to the underlying solid surface (ground). This case is interesting for practical purposes because both the aerodynamic and the economic efficiency of the system near the ground are most pronounced. Use of the method of matched asymptotic expansions enables closed form solutions for the aerodynamic characteristics of the wings-in-ground effect. These can be used for design, identification, and processing of experimental data in the course of developing ground effect vehicles. The term extreme ground effect, widely used through out the book, is associated with very small relative ground clearances of the order of 10% or less. The theory of a lifting surface, moving in immediate proximity to the ground, represents one of the few limiting cases that can be treated analytically. The author would like to acknowledge that this work has been influenced by the ideas of Professor Sheila E. Widnall, who was the first to apply the matched asymptotics techniques to treat lifting flows with the ground effect. Saint Petersburg, Russia February 2000 Kirill V. Rozhdestvensky Contents 1. Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Mathematical Models and Methods of Localized Interaction Theory

Author : Abram I. Bunimovich
Publisher : World Scientific
ISBN 13 : 9789810217433
Total Pages : 254 pages
Book Rating : 4.2/5 (174 download)

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Book Synopsis Mathematical Models and Methods of Localized Interaction Theory by : Abram I. Bunimovich

Download or read book Mathematical Models and Methods of Localized Interaction Theory written by Abram I. Bunimovich and published by World Scientific. This book was released on 1995 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Oliver Graham Sutton
Publisher :
ISBN 13 :
Total Pages : 262 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Mathematics in Action by : Oliver Graham Sutton

Download or read book Mathematics in Action written by Oliver Graham Sutton and published by . This book was released on 1984 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Theoretical and Applied Aerodynamics

Author : J. J. Chattot
Publisher : Springer
ISBN 13 : 9401798257
Total Pages : 625 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Theoretical and Applied Aerodynamics by : J. J. Chattot

Download or read book Theoretical and Applied Aerodynamics written by J. J. Chattot and published by Springer. This book was released on 2015-03-31 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers classical and modern aerodynamics, theories and related numerical methods, for senior and first-year graduate engineering students, including: -The classical potential (incompressible) flow theories for low speed aerodynamics of thin airfoils and high and low aspect ratio wings. - The linearized theories for compressible subsonic and supersonic aerodynamics. - The nonlinear transonic small disturbance potential flow theory, including supercritical wing sections, the extended transonic area rule with lift effect, transonic lifting line and swept or oblique wings to minimize wave drag. Unsteady flow is also briefly discussed. Numerical simulations based on relaxation mixed-finite difference methods are presented and explained. - Boundary layer theory for all Mach number regimes and viscous/inviscid interaction procedures used in practical aerodynamics calculations. There are also four chapters covering special topics, including wind turbines and propellers, airplane design, flow analogies and hypersonic (rotational) flows. A unique feature of the book is its ten self-tests and their solutions as well as an appendix on special techniques of functions of complex variables, method of characteristics and conservation laws and shock waves. The book is the culmination of two courses taught every year by the two authors for the last two decades to seniors and first-year graduate students of aerospace engineering at UC Davis.

Computational Aerodynamics and Fluid Dynamics

Author : Jean-Jacques Chattot
Publisher : Springer Science & Business Media
ISBN 13 : 3662050641
Total Pages : 191 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Computational Aerodynamics and Fluid Dynamics by : Jean-Jacques Chattot

Download or read book Computational Aerodynamics and Fluid Dynamics written by Jean-Jacques Chattot and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gives the reader the basis for understanding the way numerical schemes achieve accurate and stable simulations of physical phenomena. It is based on the finite-difference method and simple problems that allow also the analytic solutions to be worked out. ODEs as well as hyperbolic, parabolic and elliptic types are treated. The book builds on simple model equations and, pedagogically, on a host of problems given together with their solutions.

Elementary Flight Dynamics with an Introduction to Bifurcation and Continuation Methods

Author : Nandan K. Sinha
Publisher : CRC Press
ISBN 13 : 1000441903
Total Pages : 389 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Elementary Flight Dynamics with an Introduction to Bifurcation and Continuation Methods by : Nandan K. Sinha

Download or read book Elementary Flight Dynamics with an Introduction to Bifurcation and Continuation Methods written by Nandan K. Sinha and published by CRC Press. This book was released on 2021-09-24 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary Flight Dynamics with an Introduction to Bifurcation and Continuation Methods, Second Edition is aimed at senior undergraduate and graduate students of aerospace and mechanical engineering. The book uses an optimal mix of physical insight and mathematical presentation to illustrate the core concepts of professional aircraft flight dynamics. An updated version of the aerodynamic model is presented with the corrected definition of rate (dynamic) derivatives, supported with examples of real-life airplanes and related data and by open-source computational tools. It introduces bifurcation and continuation methods as a tool for flight dynamic analysis. FEATURES Covers an up-to-date, corrected, ‘clean’ presentation of the elements of flight dynamics Presents a blend of theory, practice and application with real-life practical examples Provides a unique viewpoint of applied aerodynamicists and aircraft designers Introduces bifurcation and continuation methods as a tool for flight dynamics analysis Includes a computational tool with real-life examples carried throughout the chapters The book is enriched with case studies of flight dynamics of a bird’s flight, of a six-seater rigid-wing airplane from a design perspective, and airship dynamics to highlight the modal behaviour of similar-looking vehicles that are distinct from each other. Excerpts from reviews of the first edition: "Flight dynamics is a topic that can cause difficulties to aerospace engineering students. This text leads the reader gently through the material with plenty of practical examples and student exercises. As such, it is easy to follow the material and to gradually develop a deep understanding of a demanding topic. The book is ideal for undergraduate students and is a good text for graduate students."––James F. Whidborne, Cranfield University, United Kingdom "The book covers all the aspects of flight dynamics traditionally found in such texts interspersed with examples of the treatment of features of current air vehicles....In my opinion, this book covers the subject comprehensively and is a desirable reference source for undergraduates and graduates alike."––R.J. Poole, MRAeS, The Aeronautical Journal, June 2014 "The book design and the methodology of interpretation are directed to a wide range of target audience/population interested in studying the dynamics of flight. Given the scale and organization of information, the book will also be a useful tool in the analysis of flight dynamics for professionals in this field. The book is sure to appeal to anyone interested in the dynamics of flight."––Jaroslav Salga, Advances in Military Technology, June 2014