The hydrogen gas of question one passes through a pipe network and now has a static...

The hydrogen gas of question one passes through a pipe network and now has a static pressure of 1 atmosphere, temperature of 293 K and a Mach number of 1.7. Let ? = 1.4. It then encounters a normal shock wave. What is the temperature, pressure and Mach number downstream of the shock wave?

Solutions

Expert Solution

Given data,

Pressure (P) = 1 atm, Temperature (T) = 293 K , Mach Number (M) = 1.7, r = 1.4

Now, As we know the Normal shock wave equation for downstream of the shock wave,

1. Pressure

P_d = P * [ ( 2*r*M² - r +1 )/ (r +1) ]

= 1 * [ ( 2*1.4*1.7*1.7 - 1.4 +1)/ (1.4 + 1) ]

= 7.692/2.4

P_d = 3.205 atm

2. Temperature

T_d = T * [ P_d*{( r - 1)M² + 2 }/ (r + 1)M² ]

= 293 * [ 3.205*{(1.4 - 1)*1.7*1.7 + 2 }/ (2.4*1.7*1.7) ]

= 2963.695/6.936

T_d = 427.293 K

3. Mach Number

M_d = {( r - 1)M² + 2 }/ ( 2*r*M² - r +1 )

= 3.156/7.692

M_d = 0.41

samet mamat answered 1 year ago

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