@article{921350,
      recid = {921350},
      author = {Pontes, José. and Mangiavacchi, Norberto. and Anjos,  Gustavo R.},
      title = {An introduction to compressible flows with applications :  Quasi-One-Dimensional Approximation and General Formulation  for Subsonic, Transonic and Supersonic Flows /},
      pages = {1 online resource (ix, 129 pages) :},
      abstract = {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.},
      url = {http://library.usi.edu/record/921350},
      doi = {https://doi.org/10.1007/978-3-030-33253-2},
}