Interpretation: The maximum length of the pipe for different inlet conditions is to be determined.
Concept introduction: The length between the starting and the end point of a pipe is known as the maximum length of the pipe. The maximum length for a given Mach number is given as,
The notations used here are,
The Reynolds number is given as,
The notations used here are,
G = Gas Mass velocity
D = Diameter of pipe
The Mach number is given as,
The speed of sound is given as,
M = Molecular weight of the air
R = Universal gas constant
T = Temperature of the air
Answer to Problem 6.1P
The maximum length for the inlet conditions of example 6.2 is 2383 ft and the maximum length for the inlet conditions of example 6.3 is 83.17 m.
Explanation of Solution
The data from example 6.2 are,
The data for air at
Substitute the value in equation (2),
Corresponding to the given Reynolds number the value of f = 0.0049 from chart of Re vs f.
f =
rH =
Substitute these values in equation (5),
The data for the air is,
Substitute these values in equation (4),
From example 6.3, the data useful is,
Substitute the value of u and a in equation (3),
Other data from example 6.3,
Substitute the data in equation (1),
The maximum length for the inlet conditions of example 6.2 is 2383 ft and the maximum length for the inlet conditions of example 6.3 is 83.17 m.
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Chapter 6 Solutions
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