An Introduction to Compressible Flows with Applications by José Pontes & Norberto Mangiavacchi & Gustavo R. Anjos

An Introduction to Compressible Flows with Applications by José Pontes & Norberto Mangiavacchi & Gustavo R. Anjos

Author:José Pontes & Norberto Mangiavacchi & Gustavo R. Anjos
Language: eng
Format: epub
ISBN: 9783030332532
Publisher: Springer International Publishing


(2.67)

Fig. 2.6Balance of Momentum fluxes and forces in an elementary section of a perfect gas flowing in a constant transversal area duct

where D H is the duct hydraulic diameter. The total energy equation becomes an equation of total enthalpy conservation. The equation reads:

In differential form:

By replacing C p = γR∕(γ − 1) we find:

what leads to

(2.68)

Using the definition of the Mach number, we write:

In differential form:

Dividing the last equation by u 2, we have:



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