An Introduction to Compressible Flows with Applications Quasi-One-Di

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 w

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José Pontes Norberto Mangiavacchi Gustavo R. Anjos

An Introduction to Compressible Flows with Applications Quasi-One-Dimensional Approximation and General Formulation for Subsonic, Transonic and Supersonic Flows 123

SpringerBriefs in Mathematics Series Editors Nicola Bellomo, Torino, Italy Michele Benzi, Pisa, Italy Palle Jorgensen, Iowa, USA Tatsien Li, Shanghai, China Roderick Melnik,Waterloo, Canada Otmar Scherzer, Linz, Austria Benjamin Steinberg, New York, USA Lothar Reichel, Kent, USA Yuri Tschinkel, New York, USA George Yin, Detroit, USA Ping Zhang, Kalamazoo, USA

SpringerBriefs in Mathematics showcases expositions in all areas of mathematics and applied mathematics. Manuscripts presenting new results or a single new result in a classical field, new field, or an emerging topic, applications, or bridges between new results and already published works, are encouraged. The series is intended for mathematicians and applied mathematicians.

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SBMAC SpringerBriefs

Editorial Board Luis Gustavo Nonato University of São Paulo (USP) Institute of Mathematical and Computer Sciences (ICMC) Department of Applied Mathematics and Statistics São Carlos, Brazil Paulo J. S. Silva University of Campinas (UNICAMP) Institute of Mathematics, Statistics and Scientific Computing (IMECC) Department of Applied Mathematics Campinas, Brazil

The SBMAC SpringerBriefs series publishes relevant contributions in the fields of applied and computational mathematics, mathematics, scientific computing, and related areas. Featuring compact volumes of 50 to 125 pages, the series covers a range of content from professional to academic. The Sociedade Brasileira de Matemática Aplicada e Computacional (Brazilian Society of Computational and Applied Mathematics, SBMAC) is a professional association focused on computational and industrial applied mathematics. The society is active in furthering the development of mathematics and its applications in scientific, technological, and industrial fields. The SBMAC has helped to develop the applications of mathematics in science, technology, and industry, to encourage the development and implementation of effective methods and mathematical techniques for the benefit of science and technology, and to promote the exchange of ideas and information between the diverse areas of application.

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José Pontes • Norberto Mangiavacchi Gustavo R. Anjos

An Introduction to Compressible Flows with Applications Quasi-One-Dimensional Approximation and General Formulation for Subsonic, Transonic and Supersonic Flows

José Pontes Faculty of Engineering State University of Rio de Janeiro Rio de Janeiro Rio de Janeiro, Brazil

Norberto Mangiavacchi Faculty of Engineering State University of Rio de Janeiro Rio de Janeiro Rio de Janeiro, Brazil

Gustavo R. Anjos COPPE/Mechanical Engineering Program Federal University of Rio de Janeiro Rio de Janeiro Rio de Janeiro, Brazil

ISSN 2191-8198 ISSN 2191-8201 (electronic) SpringerBrie