Problem-5: A Plunger is fitted to a vertical pipe filled with water. The lower end of the pipe is submerged in a sump. If the plunger is drawn up with an acceleration of 5 m/s², find the maximum height above the sump level at which the plunger will work without separation. Assume atmospheric pressure = 10 m water abs, and separation occurs at 2 m water abs. Take acceleration due to gravity as 10 m/s². [Ans. H₂ = 5.33 m]

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Problem-5: A Plunger is fitted to a vertical pipe filled with water. The lower end of the pipe is submerged in a sump. If the plunger is drawn up with an acceleration of 5 m/s², find the maximum height above the sump level at which the plunger will work without separation. Assume atmospheric pressure = 10 m water abs, and separation occurs at 2 m water abs. Take acceleration due to gravity as 10 m/s². [Ans. H₂ = 5.33 m]

Exercises
Problem-1: A single acting reciprocating pump has the piston diameter of 300 mm, stroke length of 500
mm, rotational speed of 40 rpm and the total lift (of water) of 25 m. If the actual discharge delivered at the
pump outlet is 1380 liters/minute, calculate the slip, coefficient of discharge and theoretical power in kW
required to drive the pump. [Ans. Slip = 2.34%, Coefficient of discharge = 0.9766, Power = 5.78 kW]
Problem-2: A double acting reciprocating pump running at 40 rpm is discharging 1 m³/min. The pump
has a stroke of 400 mm and the diameter of the piston is 200 mm. The delivery and suction heads are 20
m and 5 m respectively. Find the slip of the pump and the power required to drive the pump.
[Ans. Slip = 0.53%, Power = 4.08 kW]
Problem-3: For a single acting reciprocating pump, piston diameter is 150 mm, stroke length is 300 mm,
rotational speed is 50 rpm and the water is to be raised through 18 m. Determine (i) theoretical
discharge, (ii) if the actual discharge is 4 liters/s, determine volumetric efficiency, slip and actual power
required. Take the mechanical efficiency as 80%. [Ans. 4.4185 l/s, 90.53%, 94.72%, 882.9 watt]
Problem-4: A double acting reciprocating pump has a cylinder of diameter 200 mm and stroke of 300 mm.
The piston makes 30 strokes/minute. Estimate the maximum velocity and acceleration in the suction pipe
of diameter 200 mm and delivery pipe of diameter 250 mm.
[Ans. Suction = 0.471 m/s and 1.480 m/s²; Delivery = 0.301 m/s and 0.947 m/s²]
Problem-5: A Plunger is fitted to a vertical pipe filled with water. The lower end of the pipe is submerged in
a sump. If the plunger is drawn up with an acceleration of 5 m/s², find the maximum height above the sump
level at which the plunger will work without separation. Assume atmospheric pressure 10 m water abs,
and separation occurs at 2 m water abs. Take acceleration due to gravity as 10 m/s². [Ans. H, = 5.33 m]
=
Problem-6: A single acting reciprocating pump has plunger diameter 200 mm and stroke 300 mm. The
suction pipe is 100 mm in diameter and 8 m long. The water surface from which the pump draws water is 5
Im below the pump cylinder axis. If the pump is working at 30 rpm, find the pressure in the cylinder at the
beginning, middle and end of suction stroke. Take the friction factor, f = 0.04.
[Ans. 0.4708 (beginning), 4.7205 (middle) and 10.129 (end) m water abs]
Transcribed Image Text:Exercises Problem-1: A single acting reciprocating pump has the piston diameter of 300 mm, stroke length of 500 mm, rotational speed of 40 rpm and the total lift (of water) of 25 m. If the actual discharge delivered at the pump outlet is 1380 liters/minute, calculate the slip, coefficient of discharge and theoretical power in kW required to drive the pump. [Ans. Slip = 2.34%, Coefficient of discharge = 0.9766, Power = 5.78 kW] Problem-2: A double acting reciprocating pump running at 40 rpm is discharging 1 m³/min. The pump has a stroke of 400 mm and the diameter of the piston is 200 mm. The delivery and suction heads are 20 m and 5 m respectively. Find the slip of the pump and the power required to drive the pump. [Ans. Slip = 0.53%, Power = 4.08 kW] Problem-3: For a single acting reciprocating pump, piston diameter is 150 mm, stroke length is 300 mm, rotational speed is 50 rpm and the water is to be raised through 18 m. Determine (i) theoretical discharge, (ii) if the actual discharge is 4 liters/s, determine volumetric efficiency, slip and actual power required. Take the mechanical efficiency as 80%. [Ans. 4.4185 l/s, 90.53%, 94.72%, 882.9 watt] Problem-4: A double acting reciprocating pump has a cylinder of diameter 200 mm and stroke of 300 mm. The piston makes 30 strokes/minute. Estimate the maximum velocity and acceleration in the suction pipe of diameter 200 mm and delivery pipe of diameter 250 mm. [Ans. Suction = 0.471 m/s and 1.480 m/s²; Delivery = 0.301 m/s and 0.947 m/s²] Problem-5: A Plunger is fitted to a vertical pipe filled with water. The lower end of the pipe is submerged in a sump. If the plunger is drawn up with an acceleration of 5 m/s², find the maximum height above the sump level at which the plunger will work without separation. Assume atmospheric pressure 10 m water abs, and separation occurs at 2 m water abs. Take acceleration due to gravity as 10 m/s². [Ans. H, = 5.33 m] = Problem-6: A single acting reciprocating pump has plunger diameter 200 mm and stroke 300 mm. The suction pipe is 100 mm in diameter and 8 m long. The water surface from which the pump draws water is 5 Im below the pump cylinder axis. If the pump is working at 30 rpm, find the pressure in the cylinder at the beginning, middle and end of suction stroke. Take the friction factor, f = 0.04. [Ans. 0.4708 (beginning), 4.7205 (middle) and 10.129 (end) m water abs]
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