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Uniform Flows with Small Perturbations

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

Abstract

This chapter addresses the principles of small perturbation theory, where a high speed incoming flow is perturbed by slender bodies aligned or quasi aligned to the flow. Steady state is assumed. The equation of the potential ϕ associated with irrotational compressed flow is simplified for subsonic and supersonic regimes, where the problem is linear. The nonlinear equation governing the behavior of steady three-dimensional transonic flow is presented. A derivation is given for the pressure coefficient. The chapter discusses the problem of two-dimensional steady flow over a periodic-shaped wall both in the linear subsonic and supersonic regimes.

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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