SpringerBriefs in Mathematics

An Introduction to Compressible Flows with Applications

Quasi-One-Dimensional Approximation and General Formulation for Subsonic, Transonic and Supersonic Flows

Authors: Pontes, José, Mangiavacchi, Norberto, Rabello dos Anjos, Gustavo

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  • Offers a detailed explanation of the compressible flow theory, illustrated with practical examples
  • Gathers together key information on compressible fluid flows, acoustic waves, shock and numerical simulation applied to one- and multi-dimensional problems
  • Presents a formal deduction of the nonlinear three-dimensional plus time equation governing the velocity potential of irrotational and isentropic compressible flow, not found in the standard literature
  • Uses modern, easily accessible language
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  • ISBN 978-3-030-33253-2
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Softcover 51,99 €
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About this book

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. The following chapter addresses quasi-one-dimensional flows, the study of normal shock waves, and flow in ducts with constant cross section subjected to friction and/or heat transfer. It also investigates the effects of friction and heat transfer in ducts with variable cross section. The chapter ends by pointing to the analogy between one-dimensional compressible flows and open channel hydraulics.
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.

About the authors

José Pontes is an Aeronautical Engineer and an Adjunct Professor at the Faculty of Engineering of the State University of Rio de Janeiro (UERJ), Brazil. He holds a PhD in Physics (1994) from the Free University of Brussels, Belgium, and completed postdoctoral studies at the Complutense University of Madrid, Spain. His research focuses on computational fluid dynamics, finite differences methods, hydrodynamic stability and pattern formation.
Norberto Mangiavacchi is a Mechanical Engineer and Professor at the Faculty of Engineering of the State University of Rio de Janeiro (UERJ), Brazil. He completed his PhD (1994) in Mechanical Engineering and Scientific Computing at the University of Michigan, USA, with studies at the CERFACS – Centre Européen de Recherche et de Formation Avancée in Calcul Scientifique, in Toulouse, France. He research focuses on numerical simulation, finite element methods, free surfaces, turbulence, and two-phase flows.
Gustavo R. Anjos, a Mechanical Engineer, is a Professor at the Faculty of Engineering of the State University of Rio de Janeiro (UERJ), Brazil. He holds a PhD (2012) from the École Polytechnique Fédérale de Lausanne (EPFL), Switzerland, with postdoctoral studies at the Massachusetts Institute of Technology (MIT), USA. His research interests include numerical simulation, multi-phase flows, heat and mass transfer, and computational fluid dynamics.

Reviews

“The book under review is suitable for advanced undergraduate students or beginning graduate students, and also researchers in academia and in industry. … I recommend this book to all the people interested in this field.” (Titus Petrila, zbMATH 1435.76003, 2020)


Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook 39,99 €
price for Spain (gross)
  • ISBN 978-3-030-33253-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 51,99 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
An Introduction to Compressible Flows with Applications
Book Subtitle
Quasi-One-Dimensional Approximation and General Formulation for Subsonic, Transonic and Supersonic Flows
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
The Author(s), under exclusive licence to Springer Nature Switzerland AG
eBook ISBN
978-3-030-33253-2
DOI
10.1007/978-3-030-33253-2
Softcover ISBN
978-3-030-33252-5
Series ISSN
2191-8198
Edition Number
1
Number of Pages
IX, 129
Number of Illustrations
26 b/w illustrations, 3 illustrations in colour
Topics