Thermodynamics: An Engineering Approach
8th Edition
ISBN: 9780073398174
Author: Yunus A. Cengel Dr., Michael A. Boles
Publisher: McGraw-Hill Education
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Chapter 2.8, Problem 61P
A geothermal pump is used to pump brine whose density is 1050 kg/m3 at a rate of 0.3 m3/s from a depth of 200 m. For a pump efficiency of 74 percent, determine the required power input to the pump. Disregard frictional losses in the pipes, and assume the geothermal water at 200 m depth to be exposed to the atmosphere.
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A pump takes water at 60°F from a large reservoir and delivers it to the bottom of an open elevated tank 25 ft above the reservoir surface through a 3 inch ID pipe. The inlet to the pump is located 10 ft below the water surface, and the water level in the tank is constant at 160 ft above the reservoir surface. The pump delivers 150 gal/min. If the total loss of energy due to friction in the piping system is 35 ft·lbf/lb. The pump and its motor have an overall efficiency of 55 %.
i. Determine Delta Z (Z2 - Z1) in ft.
ii. What is the actual shaft work needed for this particular mass flow rate in (ft-lbf)/s.
iii. What is the mass flow rate of the water in lbm/s?
A pump takes water at 60°F from a large reservoir and delivers it to the bottom of an open elevated tank 25 ft above the reservoir surface through a 3 inch ID pipe. The inlet to the pump is located 10 ft below the water surface, and the water level in the tank is constant at 160 ft above the reservoir surface. The pump delivers 150 gal/min. If the total loss of energy due to friction in the piping system is 35 ft·lbf/lb. The pump and its motor have an overall efficiency of 55 %.
i.Let us set our first point at the surface of the large reservoir, and the second point at the surface of the open elevated tank. Determine the velocity of the water at point 1 in ft/s.
ii.What is the density of water at the conditions stated in lb/ft3?
iii.If 1 horsepower is equivalent to 500 (ft-lbf)/s, the pump should be able to supply how much hp?
A pump takes water at 60°F from a large reservoir and delivers it to the bottom of an open elevated tank 25 ft above the reservoir surface through a 3 inch ID pipe. The inlet to the pump is located 10 ft below the water surface, and the water level in the tank is constant at 160 ft above the reservoir surface. The pump delivers 150 gal/min. If the total loss of energy due to friction in the piping system is 35 ft·lbf/lb. The pump and its motor have an overall efficiency of 55 %.
answer the ff:
i. Determine the velocity of the water at point 2.
ii. Reynolds number for the flow.
iii. A pump efficiency of 55% means that the theoretical work needed for the process is 55% of the actual work needed. In other words, 55% more shaft work is necessary. Determine the theoretical shaft work required in foot-pound force per pound mass.
Chapter 2 Solutions
Thermodynamics: An Engineering Approach
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