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A Comparison of the Potential and the Euler Formulations of the Equations of Motion for Transonic Flow (Classic Reprint) - Softcover

 
9781332115099: A Comparison of the Potential and the Euler Formulations of the Equations of Motion for Transonic Flow (Classic Reprint)

Synopsis

Excerpt from A Comparison of the Potential and the Euler Formulations of the Equations of Motion for Transonic Flow

It is well known that the most efficient cruising speed of modern commercial aircraft lies in a range of free stream Mach numbers M0° near 7, where the fluid flow past the body may be characterized as transonic or supercritical. The flight efficiency is measured by the dimensionless parameter Moo CL C D, where C L and C D are the coefficients of lift and drag, respectively. In this range of Mach numbers a region of supersonic flow forms above the wing, which is terminated by a shock wave across which the pressure, density, and velocity of the fluid change rapidly. A rapid rise in the drag due to these shock waves, which reduces the overall flight efficiency, occurs in the transonic range. The goal of the aeronautical engineer is to design supercritical airfoils that will postpone the onset of strong shocks until a higher cruising speed can be attained.

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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.

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  • PublisherForgotten Books
  • Publication date2020
  • ISBN 10 1332115098
  • ISBN 13 9781332115099
  • BindingPaperback
  • LanguageEnglish
  • Number of pages107

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Kevin McGrattan
Published by Forgotten Books, 2020
ISBN 10: 1332115098 ISBN 13: 9781332115099
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Paperback. Condition: New. Print on Demand. This book explores the transonic boundary value problem that is notably ill-posed in gas dynamics, by presenting a comparison between the potential and Euler formulations of the equations of motion for transonic flow. The book first delves into the governing equations that model fluid dynamics before discussing the boundary conditions that should be satisfied by their solutions. The book then discusses the numerical methods for solving these systems of equations and the challenges associated with implementing them. The theoretical development is complemented by computational results obtained from the BGK and FLO52 codes, along with a study of wave drag calculation and the entropy inequality. By assessing the strengths and limitations of potential and Euler models, this book offers insights into designing efficient supercritical airfoils and contributes to the understanding of shock wave behaviour in transonic flows. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332115099_0

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