For the inlet conditions of Example 6.2, what is the maximum length of pipe that may be used if the pipe is 2 in. in diameter? What is it for the inlet conditions of Example 6.3?

EXAMPLE 6.2

EXAMPLE 6.1

 

EXAMPLE 6.3
 

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Air flows from a reservoir through an isentropic nozzle into a long. straight pipe. The pressure and temperature in the reservoir are 20 atm and 1,000°R (555.6 K), respectively, and the Mach number at the entrance of the pipe is 0.05. (a) What is the value of f Lmax/"H? (b) What are the pressure, temperature, density, lin- ear velocity, and mass velocity when L, = Lma? (c) What is the mass velocity when fLmax /"H = 400? Solution (a) Values for substitution in Eq. (6.45) are y = 1.4 and Ma, = 0.05. Then jLmax 1 1.4 0.052 1.4 +1 1 2{1+[(1.4 – 1)/2]0.052} In = 280 (1.4 + 1)0.052 Air flows from a reservoir through an isentropic nozzle into a long. straight pipe. The pressure and temperature in the reservoir are 20 atm and 1,000°R (555.6 K), respectively, and the Mach number at the entrance of the pipe is 0.05. (a) What is the value of f Lmax/"H? (b) What are the pressure, temperature, density, lin- ear velocity, and mass velocity when L, = Lma? (c) What is the mass velocity when fLmax /"H = 400? Solution (a) Values for substitution in Eq. (6.45) are y = 1.4 and Ma, = 0.05. Then jLmax 1 1.4 0.052 1.4 +1 1 2{1+[(1.4 – 1)/2]0.052} In = 280 (1.4 + 1)0.052