All parts use air as an ideal gas with and

PHYSICS · Multi-part · Fermi University Physics · Fluids & Continuum Physics · Waves, acoustics and compressible flow · Waves, acoustics and compressible flow

Signal Speeds in Fluids, Ch Flow through nozzles: area change, choking and thrust

Problem

All parts use air as an ideal gas with

\gamma = 1.4

and

R = 287.05\,\mathrm{J\,kg^{-1}\,K^{-1}}

, in quasi-one-dimensional isentropic flow. ((a)) A duct has area ratio

A/A^* = 1.20

. Find the Mach number on the subsonic branch. ((b)) A duct has area ratio

A/A^* = 3.00

. Find the Mach number on the supersonic branch. ((c)) A converging nozzle is fed from a reservoir at

p_0 = 4.0\,\mathrm{bar}

T_0 = 350\,\mathrm{K}

, discharging into a back pressure of

1.0\,\mathrm{bar}

. Find the exit Mach number, exit pressure and exit velocity.

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