An ideal gas whose specific heat ratio is k flows
Chapter 9, Problem 9.12D(choose chapter or problem)
An ideal gas whose specific heat ratio is k flows adiabatically with friction through a nozzle, entering with negligible velocity at temperature \(T_{0}\) and pressure \(p_{0}\). Operation is at steady state and potential energy effects can be ignored.
(a) Showing all details, develop the following expression giving the mass flow rate per unit of nozzle flow area in dimensionless form as a function of local Mach number and k.
where \(\eta\) denotes the isentropic nozzle efficiency, which is assumed constant.
(b) Using the result of part (a), investigate nozzle performance for three isentropic nozzle efficiency values in the range 0.98 to 1.0. For each value, determine the Mach number at the throat and where Mach number unity occurs within the nozzle. Interpret the effect of friction in such a nozzle flow.
Report your results in a 15-minute PowerPoint presentation suitable for your class in thermodynamics.
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