Abstract
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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References
J.D. Anderson Jr., Modern Compressible Flow with Historical Perspective (McGraw-Hill, New York, 1982)
L.D. Landau, E.M. Lifshitz, Fluid Mechanics (Pergamon, New York, 1959)
W.H. Liepman, A. Roshko, Elements of Gas Dynamics (Wiley, New York, 1957)
M. MacLean, Detailed derivation of Fanno flow relashionships (October 2013). http://wwimeracfd.com/professional/technote/fanno_flow.pdf
P.H. Oosthuizen, W.E. Carscallen, Introduction to Compressible Fluid Flow, 1st edn. (Taylor & Francis Group, Boca Raton, 2014)
J. Pontes, N. Mangiavacchi, Fenômenos de Transferência com Aplicações às Ciências Físicas e à Engenharia – Volume 1: Fundamentos (SBM – Sociedade Brasileira de Matemática, Rio de Janeiro, 2016)
E. Rathakrishnan, Applied Gas Dynamics, 1st edn. (Wiley, Singapore, 2010)
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Pontes, J., Mangiavacchi, N., Anjos, G.R. (2019). One-Dimensional Compressible Flows. In: An Introduction to Compressible Flows with Applications. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-33253-2_2
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DOI: https://doi.org/10.1007/978-3-030-33253-2_2
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Online ISBN: 978-3-030-33253-2
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