The compressed air requirements of a textile factory are met by a large compressor that draws in 0.6 m³/s air at atmospheric conditions of 20°C and 1 bar (100 kPa) and consumes 300 kW electric power when operating. Air is compressed to a gage pressure of 8 bar (absolute pressure of 900 kPa), and compressed air is transported to the production area through a 30-cm- internal-diameter, 83-m-long, galvanized steel pipe with a surface roughness of 0.15 mm. The average temperature of compressed air in the pipe is 60°C. The compressed air line has 8 elbows with a loss coefficient of 0.6 each. If the compressor efficiency is 76 percent, determine the power wasted in the transportation line. The roughness of a galvanized steel pipe is given to be ɛ = 0.00015 m. The dynamic viscosity of air at 60°C is µ = 2.008 × 105 kg/m-s, and it is independent of pressure. The density of air listed in that table is for 1 atm. The density at 2O°C, 100 kPa and 60°C, 900 kPa can be determined from the ideal gas relation to be Pin 100 kPa Pin = = 1.189 kg/m³ RTn (0.287 kPa-m³/kg-K)(20+273 K) Pline p = Pline = 900 kPa 9.417 kg/m³ %3D RTine (0.287 kPa-m³/kg•K)(60+273 K) The power wasted in the transportation line is kW.

The compressed air requirements of a textile factory are met by a large compressor that draws in 0.6 m³/s air at atmospheric conditions of 20°C and 1 bar (100 kPa) and consumes 300 kW electric power when operating. Air is compressed to a gage pressure of 8 bar (absolute pressure of 900 kPa), and compressed air is transported to the production area through a 30-cm- internal-diameter, 83-m-long, galvanized steel pipe with a surface roughness of 0.15 mm. The average temperature of compressed air in the pipe is 60°C. The compressed air line has 8 elbows with a loss coefficient of 0.6 each. If the compressor efficiency is 76 percent, determine the power wasted in the transportation line. The roughness of a galvanized steel pipe is given to be ɛ = 0.00015 m. The dynamic viscosity of air at 60°C is µ = 2.008 × 105 kg/m-s, and it is independent of pressure. The density of air listed in that table is for 1 atm. The density at 2O°C, 100 kPa and 60°C, 900 kPa can be determined from the ideal gas relation to be Pin 100 kPa Pin = = 1.189 kg/m³ RTn (0.287 kPa-m³/kg-K)(20+273 K) Pline p = Pline = 900 kPa 9.417 kg/m³ %3D RTine (0.287 kPa-m³/kg•K)(60+273 K) The power wasted in the transportation line is kW.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

The compressed air requirements of a textile factory are met by a large compressor that draws in 0.6 m/s air at atmospheric
conditions of 20°C and 1 bar (100 kPa) and consumes 300 kW electric power when operating. Air is compressed to a gage
pressure of 8 bar (absolute pressure of 900 kPa), and compressed air is transported to the production area through a 30-cm-
internal-diameter, 83-m-long, galvanized steel pipe with a surface roughness of 0.15 mm. The average temperature of
compressed air in the pipe is 60°C. The compressed air line has 8 elbows with a loss coefficient of 0.6 each. If the compressor
efficiency is 76 percent, determine the power wasted in the transportation line. The roughness of a galvanized steel pipe is given
to be ɛ = 0.00015 m. The dynamic viscosity of air at 60°C is u= 2.008 x 10° kg/m-s, and it is independent of pressure. The
density of air listed in that table is for 1 atm. The density at 20°C, 100 kPa and 60°C, 900 kPa can be determined from the ideal
gas relation to be
Pin
100 kPa
Pin
= 1.189 kg/m³
3
(0.287 kPa-m³/kg-K)(20+273 K)
Pline
900 kPa
p = Pline
= 9.417 kg/m³
RT
line
(0.287 kPa-m³/kg-K)(60+273 K)
The power wasted in the transportation line is
kW.

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The compressed air requirements of a textile factory are met by a large compressor that draws in 0.6 m3/s air at atmospheric conditions of 20°C and 1 bar (100 kPa) and consumes 300 kW electric power when operating. Air is compressed to a gage pressure of 8 bar (absolute pressure of 900 kPa), and compressed air is transported to the production area through a 15-cm-internal-diameter, 83-m-long, plastic (smooth) pipes with a surface roughness of 0.15 mm. The average temperature of compressed air in the pipe is 60°C. The compressed air line has 8 elbows with a loss coefficient of 0.6 each. In order to reduce the head losses in the piping and thus the power wasted, someone suggests doubling the diameter of the 83-m-long compressed air pipes. Calculating the reduction in wasted power, and determine if this is a worthwhile idea. Considering the cost of replacement, does this proposal make sense to you?
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