Use for air, 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 Steady compressible flow: energy, stagnation and the Mach number

Problem

Use

c_p=\gamma R/(\gamma-1)

for air, with

\gamma=1.4

and

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

. ((a)) Still air at

300\,\mathrm{K}

is drawn into a duct and accelerated smoothly and adiabatically, with no work done on it, to a speed of

300\,\mathrm{m\,s^{-1}}

. Using the steady-flow energy equation with

\hat h=c_pT

, find its temperature there. ((b)) A separate mass of air is heated at constant pressure from

300\,\mathrm{K}

600\,\mathrm{K}

. Find its specific entropy change.

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