An Introduction to Compressible Flows with Applications : Quasi-One-Dimensional Approximation and General Formulation for Subsonic, Transonic and Supersonic Flows
2019 ed.
Book Details
Format
Paperback / Softback
Book Series
SpringerBriefs in Mathematics
ISBN-10
3030332527
ISBN-13
9783030332525
Edition
2019 ed.
Publisher
Springer Nature Switzerland AG
Imprint
Springer Nature Switzerland AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Dec 16th, 2019
Print length
129 Pages
Product Classification:
Mathematical modellingClassical mechanicsMaths for engineersMechanics of fluids
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This book offers a concise and practical survey of the principles governing compressible flows, along with selected applications. It starts with derivation of the time-dependent, three-dimensional equation of compressible potential flows, and a study of weak waves, including evaluation of the sound speed in gases.
This book offers a concise and practical survey of the principles governing compressible flows, along with selected applications.
Further, the book discusses supersonic flows, including the study of oblique shock waves, and supersonic flows over corners and wedges. It also examines Riemann problems, numerical resolution of the wave equation, and of nonlinear hyperbolic problems, including propagation of strong waves. A subsequent chapter focuses on the small perturbation theory of subsonic, transonic and supersonic flows around slender bodies aligned or almost aligned to the uniform inflow. In particular, it explores subsonic and supersonic flows over a wavy wall. Lastly, an appendix with a short derivation of the Fluid Mechanics basic equations is included.
The final chapter addresses the problem of transonic flows where both subsonic and supersonic are present. Lastly, an appendix with a short derivation of the Fluid Mechanics basic equations is included.
Illustrated with several practical examples, this book is a valuable tool to understand the most fundamental mathematical principles of compressible flows. Graduate Mathematics, Physics and Engineering students as well as researchers with an interest in the aerospace sciences benefit from this work.
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