Mathematical Aspects of Subsonic and Transonic Gas Dynamics PDF Download
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Author: Lipman Bers
Publisher: Courier Dover Publications
ISBN: 0486816338
Category : Science
Languages : en
Pages : 178
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Book Description
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.
Author: Lipman Bers
Publisher: Courier Dover Publications
ISBN: 0486816338
Category : Science
Languages : en
Pages : 178
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Book Description
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.
Author: Jun Chen
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
We establish the existence and uniqueness of transonic shocks in the steady flows through a two-dimensional nozzle with varying cross-sections. The flow is governed by the steady full Euler equations. The problem is approached by a one-phase free boundary problem where the shock front is a free boundary. We show that the solutions behind the shock front remain subsonic in a downstream region and the shock front is smooth for the given supersonic flows perturbed from the uniform supersonic flows. The steady full Euler equations are decomposed into an elliptic equation and a system of transport equations for the free boundary problem. To solve the free boundary problem, the Schauder fixed point theorem is used.
Author: H. W. Liepmann
Publisher: Courier Corporation
ISBN: 0486316858
Category : Technology & Engineering
Languages : en
Pages : 436
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Book Description
The increasing importance of concepts from compressible fluid flow theory for aeronautical applications makes the republication of this first-rate text particularly timely. Intended mainly for aeronautics students, the text will also be helpful to practicing engineers and scientists who work on problems involving the aerodynamics of compressible fluids. Covering the general principles of gas dynamics to provide a working understanding of the essentials of gas flow, the contents of this book form the foundation for a study of the specialized literature and should give the necessary background for reading original papers on the subject. Topics include introductory concepts from thermodynamics, including entropy, reciprocity relations, equilibrium conditions, the law of mass action and condensation; one-dimensional gasdynamics, one-dimensional wave motion, waves in supersonic flow, flow in ducts and wind tunnels, methods of measurement, the equations of frictionless flow, small-perturbation theory, transonic flow, effects of viscosity and conductivity, and much more. The text includes numerous detailed figures and several useful tables, while concluding exercises demonstrate the application of the material in the text and outline additional subjects. Advanced undergraduate or graduate physics and engineering students with at least a working knowledge of calculus and basic physics will profit immensely from studying this outstanding volume.
Author: E. V. Laitone
Publisher:
ISBN:
Category : Gas dynamics
Languages : en
Pages : 44
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Book Description
Author: Heinrich J. Ramm
Publisher: Oxford University Press, USA
ISBN: 0195060970
Category : Language Arts & Disciplines
Languages : en
Pages : 211
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Book Description
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.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 355
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Book Description
Contents: Computational Fluid Dynamics of Airfoils and Wings; Shock-Free Configurations in Two-and Three-Dimensional Transonic Flow; Steady-State Solution of the Euler Equations for Transonic Flow; Calculation of Transonic Potential Flow Past Three-Dimensional Configurations; Computational Study of the Asymptotic Flow Structure of a High-Aspect-Ratio Swept Wing in Transonic Flow; Some Remarks on the Numerical Solution of Tricomi-Type Equations; Numerical Solution of the Equations of Compressible Viscous Flow; Implicit Finite Difference Simulation of Inviscid and Viscous Compressible Flow; Transonic Flows with Viscous Effects; Towards a Closer Cooperation Between Theoretical and Numerical Analysis in Gas Dynamics; Tracking of Interfaces for Fluid flow: Accurate Methods for Piecewise Smooth Problems; Shock Calculations and the Numerical Solution of Singular Perturbation Problems; Convergence of Approximate Solutions to Conservation Laws; and The Design and Numerical Analysis of Vortex Methods.
Author: I. A. Chernov
Publisher:
ISBN:
Category :
Languages : en
Pages : 50
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Book Description
Some general properties of self-similar solutions of transonic flows, both plane and axisymmetric, are investigated in detail. A given governing differential equation is rewritten, using the given Legendre transformation. Conditions for a similar solution are obtained from a given equation where it is shown that the functions g and q must have a given form. The main analysis is carried out in the (s, t) plane instead of in the hodograph plane. It is shown that a given curve can be determined if a given function is known. A complete description is then given of shown integral curves. Self-similar solutions for three special cases are investigated. The flow inside a nozzle is considered first. The second special case is that of a local supersonic flow bounded by a shock wave from below. The third case is that of a plane transonic flow far from the surface of an object.
Author: Ya B. Zel'dovich
Publisher: Courier Corporation
ISBN: 0486420027
Category : Science
Languages : en
Pages : 946
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Book Description
Physical, chemical processes in gases at high temperatures are focus of outstanding text by two distinguished physicists. Combines material from gas dynamics, shock-wave theory, thermodynamics and statistical physics, molecular physics, spectroscopy, radiation theory, other fields for comprehensive treatment. 284 black-and-white illustrations. 1966–1967 edition, originally published in two volumes.
Author: Klaus Oswatitsch
Publisher: Springer Science & Business Media
ISBN: 3322910822
Category : Science
Languages : en
Pages : 446
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Book Description
Ever since airplane speeds started to approach the speed of sound, the study of compressible flow problems attracted much talent and support in the major indus trialized countries. Today, gas dynamics is a mature branch of science whose many aspects and applications are much too numerous to be mastered by a single person or to be described in a few volumes. This book commemorates the 70th birthday of a great pioneer and teacher of gas dynamics, Dr. Klaus Oswatitsch, Professor of Fluid Mechanics at the Technical University of Vienna and former Director of the Institute for Theoretical Gas Dyna mics, Deutsche Forschungs-und Versuchsanstalt fUr Luft-und Raumfahrt. Several reasons motivated us to prepare an English translation of Oswatitsch's selected sci entific papers. First, we hope that a book containing his major papers will be wel come as a valuable reference text in gas dynamics. Oswatitsch's work is frequently used in the literature in one form or another, but it is usually quite time-consuming for the English speaking reader to consult the original texts. As a result, reference to and understanding of his papers is often incomplete. For example, Oswatitsch's formulation of the equivalence rule hardly ever is quoted in recent textbooks, al though it preceded declassification of Whitcomb's results by several years. Further more, his papers contain much information, which has not yet been fully appreciated in the Anglo-American literature.
Author: James E. A. John
Publisher: Prentice Hall
ISBN:
Category : Science
Languages : en
Pages : 462
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Book Description
A comprehensive examination of the fundamentals of compressible flow and gas dynamics.
