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The Basic Equations of Compressible Fluid Flow

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Book cover An Introduction to Compressible Flows with Applications

Part of the book series: SpringerBriefs in Mathematics ((BRIEFSMATH))

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Abstract

This chapter summarizes the basic equations of compressible fluid flow. The complete time-dependent three-dimensional continuity and momentum equations are presented, including the constitutive equation of Newtonian fluids. The time-dependent Bernoulli equation for both compressible rotational and irrotational flows are discussed. The chapter presents the evolution equation of the circulation, where conditions for generation of vorticity and the necessary conditions for an irrotational flow to stay irrotational are discussed. One-dimensional mass, momentum, and energy equation are then presented.

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Authors and Affiliations

  1. Faculty of Engineering, State University of Rio de Janeiro, Rio de Janeiro, Rio de Janeiro, Brazil

    José Pontes & Norberto Mangiavacchi

  2. COPPE/Mechanical Engineering Program, Federal University of Rio de Janeiro, Rio de Janeiro, Rio de Janeiro, Brazil

    Gustavo R. Anjos

Authors
  1. José Pontes
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  2. Norberto Mangiavacchi
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  3. Gustavo R. Anjos
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© 2019 The Author(s), under exclusive licence to Springer Nature Switzerland AG

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Pontes, J., Mangiavacchi, N., Anjos, G.R. (2019). The Basic Equations of Compressible Fluid Flow. In: An Introduction to Compressible Flows with Applications. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-33253-2_5

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