Applied Fluid Mechanics (7th Edition)
7th Edition
ISBN: 9780132558921
Author: Robert L. Mott, Joseph A. Untener
Publisher: PEARSON

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Textbook Question
Chapter 8, Problem 8.38PP

Figure 8.15 shows a system for delivering lawn fertilizer in liquid form. The nozzle on the end of the hose requires 140 kPa of pressure to operate effectively. The hose is smooth plastic with an ID of 25 mm. The fertilizer solution has a specific gravity of 1.10 and a dynamic viscosity of 2.0   ×   10 3 Pa s. If the length of the hose is 85 m, determine (a) the power delivered by the pump to the solution and (b) the pressure at the outlet of the pump. Neglect the energy losses on the suction side of the pump. The flow rate is 95 L/min.

1. Calculate the required height h of the water level in the tank in order to maintain 5.0 psig pressure at point A.

• Assuming that the pressure at point A is 5.0 psig, calculate the power delivered by the pump to the water in order to maintain the pressure at point B at 85 psig. Include energy losses due to friction, but neglect any other energy losses.
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C2. A conical tube is fixed vertically with its smaller end upwards and it forms a part of the pipeline. The diameter at the smaller end is 245 mm and at the larger end is 467 mm. The length of the conical tube is 1.8 m and the flow rate of the oil is 128 liters/s. The pressure at the smaller end is equivalent to a head of 9.7 m of oil. Considering the following two cases: (1) Neglecting friction, (without head loss) determine (i) the velocity at the smaller end in m/s, (ii) the velocity at the larger end in m/s, and (iii) the pressure at the larger end of the tube. (2) If a head loss (with head loss) in the tube is hL= 0.0153(V1-V2)2, where V1 is the velocity at the smaller end and V2 is the velocity at the larger end, determine (iv) the head loss in m of oil and (v) the pressure at the larger end of the tube.
C2. A conical tube is fixed vertically with its smaller end upwards and it forms a part of the pipeline. The diameter at the smaller end is 245 mm and at the larger end is 467 mm. The length of the conical tube is 1.8 m and the flow rate of the oil is 128 liters/s. The pressure at the smaller end is equivalent to a head of 9.7 m of oil. Considering the following two cases: (1) Neglecting friction, (without head loss) determine (i) the velocity at the smaller end in m/s, (ii) the velocity at the larger end in m/s, and (iii) the pressure at the larger end of the tube. (2) If a head loss (with head loss) in the tube is hL= 0.0153(V1-V2)2, where V1 is the velocity at the smaller end and V2 is the velocity at the larger end, determine (iv) the head loss in m of oil and (v) the pressure at the larger end of the tube.
The ethanol solution is pumped into a vessel 25 m above the reference point through a 25 mm diameter steel pipe at a rate of 8 m3/hour. The length of the pipe is 35m and there are 2 elbows. Calculate the pump power requirement. The properties of the solution are density 975 kg/m3 and viscosity 4x 10-4 Pa s. a. Reynolds number = b. Energy Loss along a straight pipe = J/kg. c. Energy Loss in turns = J/kg. d. Total energy to overcome friction = J/kg. e. Energy to raise water to height = J/kg. f. Theoretical energy requirement of the pump kg ethanol/second = J/kg. g. Actual pump power requirement = watt.
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