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 84 percent, determine the power wasted in the transportation line. The roughness of a galvanized steel pipe is given to be ε = 0.00015 m. The dynamic viscosity of air at 60°C is = 2.008 × 10-5 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 = Pin = P = Pline = 100 kPa (0.287 kPa-m³/kg-K) (20+273 K) Pline RTline = 1.189 kg/m³ 900 kPa (0.287 kPa-m³/kg-K) (60+273 K) The power wasted in the transportation line is 0.00483 = = = 9.417 kg/m³ 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 84 percent, determine the power wasted in the transportation line. The roughness of a galvanized steel pipe is given to be ε = 0.00015 m. The dynamic viscosity of air at 60°C is = 2.008 × 10-5 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 = Pin = P = Pline = 100 kPa (0.287 kPa-m³/kg-K) (20+273 K) Pline RTline = 1.189 kg/m³ 900 kPa (0.287 kPa-m³/kg-K) (60+273 K) The power wasted in the transportation line is 0.00483 = = = 9.417 kg/m³ kW.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

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 84 percent, determine
the power wasted in the transportation line. The roughness of a galvanized steel pipe is given to be ε = 0.00015 m. The dynamic
viscosity of air at 60°C is μ = 2.008 × 10-5 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 =
Pin
RT
100 kPa
(0.287 kPa-m³/kg-K)(20+273 K)
P= Pline =
= 1.189 kg/m³
Pline
900 kPa
RTline (0.287 kPa-m³/kg-K)(60+273 K)
The power wasted in the transportation line is 0.00483 kW.
= 9.417 kg/m³

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