Basic Notions of Hydrodynamics

  • Ilya L. Shapiro
  • Guilherme de Berredo-Peixoto
Chapter
Part of the Undergraduate Lecture Notes in Physics book series (ULNP)

Abstract

Our goal is to present a very brief introduction to the basics of Hydrodynamics. Namely, we will introduce the notions of ideal fluid, Pascal’s law and the continuity equation. Furthermore, we shall obtain Euler’s equation as an analog of Newton’s second law for the ideal fluid and consider some consequences, such as Bernoulli’s equation, which can be seen as the continuous version of energy conservation. Finally, we will discuss the equation for sound waves, representing a propagating perturbation of density and pressure.

Keywords

Entropy Dust Electromagnetism Line Source 

References

  1. 6.
    G.K. Batchelor, An Introduction to Fluid Dynamics (Cambridge Mathematical Library, Cambridge University Press,Cambridge/New York, 2000)Google Scholar
  2. 13.
    R.A. Granger, Fluid Mechanics. Dover Books on Physics (Dover, New York, 1995)Google Scholar
  3. 22.
    L.D. Landau, E.M. Lifshitz, Hydrodynamics. Course of Theoretical Physics Series, vol. 6, 2nd edn. (Butterworth-Heinemann, 1987)Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2013

Authors and Affiliations

  • Ilya L. Shapiro
    • 1
    • 2
  • Guilherme de Berredo-Peixoto
    • 1
  1. 1.Departamento de Fisica – ICEUniversidade Federal de Juiz de ForaJuiz de ForaBrazil
  2. 2.Tomsk State Pedagogical UniversityTomskRussia

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