One-Dimensional Compressible Flows

  • José Pontes
  • Norberto Mangiavacchi
  • Gustavo R. Anjos
Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)


This chapter deals with quasi one-dimensional flows, including isentropic flows, normal shock waves, including the thickness of the waves, and flow in ducts with constant cross section with heat transfer and friction (Rayleigh and Fanno lines). The chapter also addresses the effects of friction and heat transfer in variable transversal section ducts, where the critical Mach number M = 1 is not attained at ducts throat. In sequence, the chapter discusses the flow of gases in isothermal ducts, followed by pointing the analogy with open channel hydraulics.


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Copyright information

© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2019

Authors and Affiliations

  • José Pontes
    • 1
  • Norberto Mangiavacchi
    • 1
  • Gustavo R. Anjos
    • 2
  1. 1.Faculty of EngineeringState University of Rio de JaneiroRio de JaneiroBrazil
  2. 2.COPPE/Mechanical Engineering ProgramFederal University of Rio de JaneiroRio de JaneiroBrazil

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