?An ideal gas with constant heat capacities enters a converging/diverging nozzle with

Chapter 7, Problem 7.8

(choose chapter or problem)

An ideal gas with constant heat capacities enters a converging/diverging nozzle with negligible velocity. If it expands isentropically within the nozzle, show that the throat velocity is given by:

\(u_{throat}^{2} = \frac {γRT_{1}}{ℳ} (\frac {2}{γ + 1} )\)

where \(T_{1}\) is the temperature of the gas entering the nozzle, ℳ is the molar mass, and R is the molar gas constant.

Text Transcription:

u_throat^2 = γRT_1 / ℳ   (2 / γ + 1)

T_1

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