3. A natural gas is flowing through a long distance smooth pipeline (1 m in diameter) at a constant temperature. The gas enters the pipeline at a velocity of 12 m s-1 and at the temperature and pressure of 20 °C and 690 kPa, respectively. Compressors and coolers are provided every 15 km along the pipeline to recompress and cool the gas to its initial temperature and pressure. Calculate the theoretical power requirement to compress the gas by each compressor. Assume that the compression is an adiabatic frictionless process and the work done by the compressor on unit mass of gas is given by: AW = fout vdP [J kg-¹] Pin where Pin and Pout are the pressures at the inlet and outlet of the compressor, respectively, and vis the specific volume of gas. Hint: see Coulson and Richardson, Volume 1, Section 8.3.4, page 347-351. Specific heat ratio y (= Cp/Cy) = 1.3 [Ans. 845631 W]

3. A natural gas is flowing through a long distance smooth pipeline (1 m in diameter) at a constant temperature. The gas enters the pipeline at a velocity of 12 m s-1 and at the temperature and pressure of 20 °C and 690 kPa, respectively. Compressors and coolers are provided every 15 km along the pipeline to recompress and cool the gas to its initial temperature and pressure. Calculate the theoretical power requirement to compress the gas by each compressor. Assume that the compression is an adiabatic frictionless process and the work done by the compressor on unit mass of gas is given by: AW = fout vdP [J kg-¹] Pin where Pin and Pout are the pressures at the inlet and outlet of the compressor, respectively, and vis the specific volume of gas. Hint: see Coulson and Richardson, Volume 1, Section 8.3.4, page 347-351. Specific heat ratio y (= Cp/Cy) = 1.3 [Ans. 845631 W]

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Problem 1.1MA

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Question

3. A natural gas is flowing through a long distance smooth pipeline (1 m in
diameter) at a constant temperature. The gas enters the pipeline at a velocity of
12 m s-1 and at the temperature and pressure of 20 °C and 690 kPa,
respectively. Compressors and coolers are provided every 15 km along the
pipeline to recompress and cool the gas to its initial temperature and pressure.
Calculate the theoretical power requirement to compress the gas by each
compressor.
Assume that the compression is an adiabatic frictionless process and the work
done by the compressor on unit mass of gas is given by:
AW =
Pout vdP [J kg-¹]
Pin
where Pin and Pout are the pressures at the inlet and outlet of the compressor,
respectively, and vis the specific volume of gas. Hint: see Coulson and
Richardson, Volume 1, Section 8.3.4, page 347-351.
Specific heat ratio y (= C₂/C₂) = 1.3
[Ans. 845631 W]

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