The low-pressure side of a shock tube holds air at ( , ).

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

Signal Speeds in Fluids, Ch Steepening and the normal shock wave

Problem

The low-pressure side of a shock tube holds air at

293\ \mathrm{K}

(

\gamma_1=1.4

c_1=343\ \mathrm{m\,s^{-1}}

). ((a)) With air at

293\ \mathrm{K}

as the driver and

p_4/p_1=30

, find the shock Mach number

M_{\rm s}

by bisection on the shock-tube relation, then the shock speed

U

and the laboratory speed

u_2

of the gas behind the shock. ((b)) Replace the driver by helium at

293\ \mathrm{K}

(

\gamma_4=5/3

c_4=1007\ \mathrm{m\,s^{-1}}

). What pressure ratio

p_4/p_1

produces the same

M_{\rm s}

as in (a)? ((c)) With the helium driver at

p_4/p_1=30

, what

M_{\rm s}

results?

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