Basic Civil & Mechanical Engineering: UNIT IV: f. Pumps

Reciprocating Pumps - Classification According to the contact of liquid with one side or both sides of the piston

If a reciprocating pump uses one side of the piston for pumping liquid, then it is known as a Single Acting Reciprocating Pump.

 Classification According To THE CONTACT OF LIQUID WITH ONE SIDE OR BOTH SIDES OF THE PISTON


1. SINGLE ACTING RECIPROCATING PUMP

If a reciprocating pump uses one side of the piston for pumping liquid, then it is known as a Single Acting Reciprocating Pump.

Description (Fig. 1)


The main parts of a single acting reciprocating pump are discussed below:

 1. Cylinder, Piston, Piston Rod, Connecting Rod and Crank: A single acting reciprocating pump consists of a piston (or plunger), which moves forwards and backwards inside a close fitting cylinder. The movement of the piston is obtained  by connecting the piston rod to thecrank by means of a connecting rod. The crank is rotated by an electric motor.

 2. Suction Pipe and Suction Valve: Suction pipe is connected to the cylinder. Suction valve is one way valve, i.e., a non-return valve. It allows the liquid to flow in one direction only. That is, it allows the liquid from the suction pipe to the cylinder.

3. Delivery Pipe and Delivery Valve: Delivery pipe is connected to the cylinder. Delivery valve is also one way valve or non-return valve. It allows the liquid to flow in one direction only. That is, it allows the liquid from the cylinder to the delivery pipe.

Working Principle

 When the crank starts rotating, the piston moves to and fro in the cylinder. When the crank is at A, the piston is at the extreme left position in the cylinder called Inner Dead Center.

 Suction Stroke: As the crank rotates from A to C (i.e., Crank Angle 0 increases from 0° to 180°), the piston moves towards right in the cylinder. This is called Suction Stroke.

 Now, the volume covered by the piston within the cylinder increases while the pressure decreases below the atmospheric pressure. On the free surface of water in the sump, atmospheric pressure acts. Thus, there is a pressure difference at the two ends of the suction pipe which connects the sump and the cylinder. This pressure difference between the free surface and inside of the cylinder causes the flow of water from the sump into the cylinder through the suction valve, which is kept open.

During this stroke, the non-return valve at the delivery side will be closed by the atmospheric pressure existing in the delivery pipe. At the end of this stroke, the cylinder will be full of water. Since, the water is continuously sucked into the cylinder, this stroke is called suction stroke. At the end of this stroke, since the pressure in the cylinder is atmospheric, the suction valve is closed.

Return Stroke or Delivery Stroke: When the crank rotates from C to A (i.e., Crank Angle 0 increases from 180° to 360o), the piston from its extreme right position starts moving towards left in the cylinder. This is known as Return or Delivery Stroke.

The movement of piston towards left increases the pressure of the liquid inside the cylinder to a pressure more than atmospheric pressure. Therefore, the suction valve closes and delivery valve opens. Now, the liquid inside the cylinder is forced into the delivery pipe through the delivery valve. Consequently, the liquid is raised to the required height. Note that the liquid is discharged at every alternate stroke.

a. TERMINOLOGY

Discharge through Single Acting Reciprocating Pump

Let            D = Diameter of the cylinder A = Area of cross section of the piston or cylinder = (π/4) D2, r =                 Crank radius;

L = Length of the stroke of the piston = 2r; N = Speed of the crank in rpm.

Discharge in one revolution = Length of stroke × Cross sectional area of piston = L × A

Discharge of the pump per second = Q = Discharge per revolution × (rpm / 60)

= L × A × (N / 60) = LAN / 60

•  Weight of the liquid delivered per second (W)

 Weight of liquid delivered / second = W = w × Q (w = Specific weight of liquid)

   = ( LAN × w) / 60

Total height of lift of liquid (H)

Total height of lift of liquid = H = Hs + Hd where Hs = Suction Head and Hd = Delivery Head

Work Done by Single Acting Reciprocating Pump

Work done per second = Weight of liquid delivered per second × Total height of lift

Work done by the pump per second = W × (Hs + Hd)

. Coefficient of Discharge (Cd)

 Due to leakage and imperfect operation of the valve, the actual discharge is always slightly different from theoretical discharge. The ratio between the actual discharge Qa and the theoretical discharge Qth is defined as the Coefficient of Discharge Cd of the pump.

Cd = Qa/Qth

Slip of the Reciprocating Pump

Slip of the reciprocating pump = Theoretical discharge - Actual discharge

where Theoretical discharge = Qth = LAN / 60

Negative Slip: If the actual discharge is more than the theoretical discharge, the slip of the pump is negative. It is known as Negative Slip. Negative slip occurs when the suction pipe is longer than the delivery pipe and the pipe is running at high speed.

Maximum Speed of a Reciprocating Pump: The pressure in the cylinder should not be below the vapour pressure of the liquid. Hence, dissolved gases will be liberated. This results in Cavitation. Further, continuous flow of liquid may not take place.

• Indicator Diagram for a Reciprocating Pump:

 Indicator Diagram for a Reciprocating Pump is a graph between stroke length of piston for one complete revolution of the crank along the X-axis and the pressure head along the Y-axis.

 

2. DOUBLE ACTING RECIPROCATING PUMP


Working Principle

 See Fig. 2. If the liquid is in contact with both the sides of the piston, it is known as Double Acting Reciprocating Pump. A double acting reciprocating pump has two suction and two delivery pipes. The corresponding two Suction Valves (SV1, and SV2) and two Delivery Valves (DV1, and DV2) are as shown.

During each stroke, when suction takes place on one side of the piston, the other side delivers the liquid. In this way, in the case of a double acting pump, in one complete revolution of the crank, there are two suction strokes and two delivery strokes. Therefore, the liquid is delivered by the pump during these two delivery strokes.

• Work Done by Double Acting Reciprocating Pump

 In this, when there is a suction stroke on one side of the piston, its other side has a delivery stroke. Thus, for one complete revolution of the crank, there are two delivery strokes. The liquid is delivered by the pump during these two delivery strokes.

If the speed of the crank is N rpm, then the number of delivery strokes will be 2N per minute or (N/ 30 ) per second. However, due to the presence of the piston rod on one side, the volume of liquid delivered from both sides of the piston will not be equal.

 

Basic Civil & Mechanical Engineering: UNIT IV: f. Pumps : Tag: : - Reciprocating Pumps - Classification According to the contact of liquid with one side or both sides of the piston