Problem 4 -Flame Consulting designed an experiment where helium is extracted from a storage tank and flows through a 150 mm diameter pipe that is 90 m long. The inlet conditions for the pipe (location 1 in the diagram) are as follows: inlet temperature of 285 K; absolute pressure of 165 kPa; and inlet velocity of 125 m/sec. The consulting company determined the average friction factor in the pipe (f) is 0.004. Helium's specific heat ratio (k) is 1.667. Determine the mass flow rate through the pipe and if the pipe exit is choked (including justification). Additionally outline how Sparky could determine the friction force acting on the duct (do not solve the problem just outline the solution process). This is a compressible flow problem. Only use equations and tables from the textbook to solve this problem. Note the figures in the textbook and textbook appendices are based on air, not helium, and are not valid. Evaluate the gas constant at 20°C. It may help to create a free-body diagram, but that is not required. 150 mm 90 m 2
Problem 4 -Flame Consulting designed an experiment where helium is extracted from a storage tank and flows through a 150 mm diameter pipe that is 90 m long. The inlet conditions for the pipe (location 1 in the diagram) are as follows: inlet temperature of 285 K; absolute pressure of 165 kPa; and inlet velocity of 125 m/sec. The consulting company determined the average friction factor in the pipe (f) is 0.004. Helium's specific heat ratio (k) is 1.667. Determine the mass flow rate through the pipe and if the pipe exit is choked (including justification). Additionally outline how Sparky could determine the friction force acting on the duct (do not solve the problem just outline the solution process). This is a compressible flow problem. Only use equations and tables from the textbook to solve this problem. Note the figures in the textbook and textbook appendices are based on air, not helium, and are not valid. Evaluate the gas constant at 20°C. It may help to create a free-body diagram, but that is not required. 150 mm 90 m 2
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Problem 4 -Flame Consulting designed an experiment where helium is extracted from a
storage tank and flows through a 150 mm diameter pipe that is 90 m long. The inlet conditions
for the pipe (location 1 in the diagram) are as follows: inlet temperature of 285 K; absolute
pressure of 165 kPa; and inlet velocity of 125 m/sec. The consulting company determined the
average friction factor in the pipe (f) is 0.004. Helium's specific heat ratio (k) is 1.667.
Determine the mass flow rate through the pipe and if the pipe exit is choked (including
justification). Additionally outline how Sparky could determine the friction force acting
on the duct (do not solve the problem just outline the solution process). This is a
compressible flow problem. Only use equations and tables from the textbook to solve this
problem. Note the figures in the textbook and textbook appendices are based on air, not
helium, and are not valid. Evaluate the gas constant at 20°C. It may help to create a free-body
diagram, but that is not required.
150 mm
90 m
2
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