Download or read book Boundary Value Problems for Transonic Flow written by Alexander G Kuz'min and published by John Wiley & Sons. This book was released on 2003-02-28 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transonic flow occurs around moving objects as they approach and cross the sound barrier. Serious problems can occur at this point, such as shock-induced flow separation which can cause the aircraft to spin out of control. Another important practical problem is the achievement of higher aerodynamic performance of aircraft at cruise conditions, which leads to considerable fuel savings. The success in application of numerical methods for simulation of transonic flow and aircraft design depends on developments in the underlying mathematical theory. This book presents a breakthrough in the solvability analysis of boundary value problems, which makes it possible to establish convergence of finite element approximations for shock-free flow and to provide a framework for putting the existing numerical methods on a more sound basis. Also, physical aspects concerned with patterns of formation and propagation of weak shock waves are analysed. This contributes to the understanding of the extreme sensitivity of transonic flow to perturbation of freestream conditions. The developed theoretical knowledge base yields promising concepts of the airfoil design and active flow control by airfoil/wing shape modifications or suction/blowing through a perforated surface. Boundary Value Problems for Transonic Flow * Focuses on Computational Fluid Dynamics. * Addresses practical problems, such as airfoil design and flow control. * Presents developments made in the last two decades. In essence this is a much needed monograph for researchers and engineers in applied mathematics and numerical analysis applied to aerodynamics and for algorithm developers in Computational Fluid Dynamics in the aircraft industry. It gives design engineers the underlying mathematical theory necessary for developing new concepts for airfoil/wing design and flow control.
Download or read book A Well Posed Boundary Value Problem in Transonic Gas Dynamics Classic Reprint written by Jose M. Sanz and published by Forgotten Books. This book was released on 2017-11-02 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Well Posed Boundary Value Problem in Transonic Gas Dynamics The problem of calculating continuous transonic flow past such an airfoil was shown by C. Morawetz [20] to be not well posed. Motivated by the method of complex characteristics, a transonic boundary value problem was developed in [9] for a certain domain obtained by analytic extension to complex values of the independent variables. Complex conjugate characteristic coordinates E and n were introduced. In these coordinates the stream function is real in the subsonic domain but complex otherwise. The new boundary value problem is set by prescribing the real part of on the boundary of the unit circle. This problem has, as yet, not been shown to be well posed, although its numerical solution was found successfully. Our contribution will be to show that a corresponding problem for the Tricomi equation is well posed. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book Unsteady Transonic Flow written by Marten T. Landahl and published by Courier Dover Publications. This book was released on 2019-04-17 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic monograph on unsteady transonic flow — the flow of air encountered at speeds at or near the speed of sound — is of continuing interest to students and professionals in aerodynamics, fluid dynamics, and other areas of applied mathematics. After a brief Introduction, Swedish physicist Mårten T. Landahl presents a chapter in which the two-dimensional solution is derived, succeeded by a discussion of its relation to the subsonic and supersonic solutions. Three chapters on low aspect ratio configurations follow, covering triangular wings and similar planforms with curved leading edges, rectangular wings, and cropped delta wings, and low aspect ratio wing-body combinations. The treatment concludes with a consideration of the experimental determination of air forces on oscillating wings at transonic speeds.
Download or read book The Theory of Transonic Flow written by Karl Gottfried Guderley and published by . This book was released on 1962 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Flow Over a Finite Wedge in the Lower Transonic Region written by Hideo Yoshihara and published by . This book was released on 1956 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Equations of Mixed Type and Transonic Flows written by Eun A. Chong and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We study a small perturbation problem for the nonexistence of shock-free flows. We prove uniqueness theorems for the Tricomi equation with the conormal and oblique derivative boundary conditions in Tricomi and Frankl domains.To solve boundary value problems for mixed-type equations, we use the method developed by Morawetz which relies on the hodograph transformation.When we consider the TSD equation in the physical plane, a flow past airfoil problem gives us a conormal boundary value problem on a Frankl domain for the Tricomi equation.A perturbation problem for supersonic patches behind triple pointsleads to an oblique derivative boundary value problem for the TSD equation.
Download or read book Fluid Dynamics for the Study of Transonic Flow written by Heinrich J. Ramm and published by Oxford University Press. This book was released on 1990-02-01 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new book leads readers step-by-step through the complexities encountered as moving objects approach and cross the sound barrier. The problems of transonic flight were apparent with the very first experimental flights of scale-model rockets when the disastrous impact of shock waves and flow separations caused the aircraft to spin wildly out of control. Today many of these problems have been overcome, and this book offers an introduction to the transonic theory that has made possible many of these advances. The emphasis is on the most important basic approaches to the solution of transonic problems. The book also includes explanations of common pitfalls that must be avoided. An effort has been made to derive the most important equations of inviscid and viscous transonic flow in sufficient detail so that even novices may feel confident in their problem-solving ability. The use of computer approaches is reviewed, with references to the extensive literature in this area, while the critical shortcomings of an exclusive reliance on computational methods are also described. The book will be valuable to anyone who needs to acquire an understanding of transonic flow, including practicing engineers as well as students of fluid mechanics.
Download or read book DFVLR FB 88 6 written by Hannes Fogt and published by . This book was released on 1988 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Transonic Aerodynamics written by J.D. Cole and published by Elsevier. This book was released on 2012-12-02 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book begins with fundamental principles and proceeds to the latest developments in the field. Using a systematic mathematical approach, it covers linearized and transonic theories, simple flows, general theories of lift and drag, subsonic flows, sonic flows, shock waves, airfoils and three-dimensional wings. Also discussed are far fields and the transonic law of stabilization.Significant mathematical areas which enter the discussion are: Partial Differential Equations of Mixed Type, Weak Solutions (Shock Waves), Hodograph Transformations, Similarity Solutions and New Numerical Methods for Equations of Mixed Type.
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 98 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.
Download or read book Transonic Conical Flow written by Kaloust Gregory Agopian and published by . This book was released on 1973 with total page 75 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of inviscid, steady transonic conical flow formulated in terms of the small disturbance theory is studied. The small disturbance equation and similarity rules are presented, and a boundary value problem is formulated for the case of a supersonic freestream Mach number. The equation for the perturbation potential is solved numerically using an elliptic finite difference system. The difference equations are solved with a point relaxation algorithm that is also capable of capturing the shock wave during the iteration procedure by using the boundary conditions at the shock. Numerical calculations, for shock location, pressure distribution and drag coefficient, are presented for a family of nonlifting conical wings. The theory of slender wings is also presented and analytical results for pressure and drag coefficients are obtained. (Author).
Download or read book The Tricomi Equation with Applications to the Theory of Plane Transonic Flow written by A. R. Manwell and published by . This book was released on 1979 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Aspects of Subsonic and Transonic Gas Dynamics written by Lipman Bers and published by Courier Dover Publications. This book was released on 2016-10-05 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise treatment by prominent mathematician covers differential equations of potential gas flow, mathematical background of subsonic flow theory, behavior of flow at infinity, flows in channels and with free boundary, more. 1958 edition.
Download or read book On a Solution of the Nonlinear Differential Equation for Transonic Flow Past a Wave shaped Wall written by Carl Kaplan and published by . This book was released on 1951 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: The simplified nonlinear differential equation for transonic flow past a wavy wall is solved by the method of integration in series. The solution has been carried to the point where the question of the existence or nonexistence of a mixed potential flow can be answered by the behavior of a single power series in the transonic similarity parameter. The calculation of the coefficient of this dominant power series has been reduced to a routine computing problem by means of recursion formumlas resulting from the solution of the differential equation and the boundary condition at the surface of the wavy wall.
Download or read book Far field Boundary Conditions in 20 Unsteady Transonic Flow written by Vincent Goudreault and published by . This book was released on 1985 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Studies Pseudo differential Operators Non coercive Boundary Value Problems Fredholm Operators and the Essential Spectrum the Limiting Amplitude Principal and Transonic Flow written by L. Nirenberg and published by . This book was released on 1965 with total page 3 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Importance of Boundary Conditions in the Numerical Treatment of Hyperbolic Equations written by Gino Moretti and published by . This book was released on 1968 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the existing computations of initial-and-boundary value problems in fluid mechanics suffer from unrealistic treatment of boundary points. Three categories of boundaries are briefly discussed: rigid walls, arbitrary boundaries of a computational region in a subsonic flow, and shock waves. An attempt is made to show in what sense the numerical treatment of such boundaries may be physically wrong and what can be done instead. Examples from the blunt body problem, the transonic flow in a nozzle, the incompressible inviscid flow past a circle, and the quasi-one-dimensional flow in a Laval nozzle, are shown. (Author).
