Power Required to Drive Double acting Reciprocating Pump Solution

STEP 0: Pre-Calculation Summary
Formula Used
Power = 2*Specific Weight*Area of Piston*Length of Stroke*Speed*(Height of centre of cylinder+Height to which liquid is raised)/60
P = 2*γ*Ap*L*N*(hs+hd)/60
This formula uses 7 Variables
Variables Used
Power - (Measured in Watt) - Power is the amount of energy liberated per second in a device.
Specific Weight - (Measured in Newton per Cubic Meter) - Specific Weight is defined as weight per unit volume. It is the specific weight of the liquid for which the calculation is being done.
Area of Piston - (Measured in Square Meter) - Area of piston is the value of area of the piston in a piston pump.
Length of Stroke - (Measured in Meter) - Length of stroke is the range of movement of piston.
Speed - Speed of a machine/body in rpm.
Height of centre of cylinder - (Measured in Meter) - Height of centre of cylinder in meters.
Height to which liquid is raised - (Measured in Meter) - Height to which liquid is raised in meters.
STEP 1: Convert Input(s) to Base Unit
Specific Weight: 112 Newton per Cubic Meter --> 112 Newton per Cubic Meter No Conversion Required
Area of Piston: 0.05 Square Meter --> 0.05 Square Meter No Conversion Required
Length of Stroke: 0.88 Meter --> 0.88 Meter No Conversion Required
Speed: 100 --> No Conversion Required
Height of centre of cylinder: 1.45 Meter --> 1.45 Meter No Conversion Required
Height to which liquid is raised: 2.6 Meter --> 2.6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = 2*γ*Ap*L*N*(hs+hd)/60 --> 2*112*0.05*0.88*100*(1.45+2.6)/60
Evaluating ... ...
P = 66.528
STEP 3: Convert Result to Output's Unit
66.528 Watt --> No Conversion Required
FINAL ANSWER
66.528 Watt <-- Power
(Calculation completed in 00.004 seconds)

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Created by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
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15 Double Acting Pumps Calculators

Pressure Head when Connecting Rod is not very long as compared to Crank Length
Go Pressure Head due to Acceleration = ((Length of Pipe 1*Area of cylinder*(Angular Velocity^2)*Radius of crank*cos(Angle turned by crank))/([g]*Area of pipe))*(cos(Angle turned by crank)+(cos(2*Angle turned by crank)/Ratio of length of connecting rod to crank length))
Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes
Go Work = ((Density*Acceleration Due to Gravity*Area of cylinder*Length of Stroke*Crank Speed)/60)*(Suction Head+Delivery Head+Head Loss due to Friction in Suction Pipe+Head loss due to friction in delivery pipe)
Work done by pump per stroke against friction
Go Work = (2/3)*Length of Stroke*(((4*Friction Factor*Length of Pipe)/(2*Pipe Diameter*Acceleration Due to Gravity))*((Area of cylinder/Area of delivery pipe)*(Angular Velocity*Crank radius))^2)
Work Done by Double-acting Pump considering all Head Losses
Go Work = (2*Specific Weight*Area of cylinder*Length of Stroke*Speed in RPM/60)*(Suction Head+Delivery Head+((2/3)*Head loss due to friction in delivery pipe)+((2/3)*Head Loss due to Friction in Suction Pipe))
Work Done by Double Acting Pump due to Friction in Suction and Delivery Pipes
Go Work = ((2*Density*Area of cylinder*Length of Stroke*Speed in RPM)/60)*(Suction Head+Delivery Head+0.66*Head Loss due to Friction in Suction Pipe+0.66*Head loss due to friction in delivery pipe)
Work Done by Double Acting Reciprocating Pump
Go Work = 2*Specific Weight*Area of Piston*Length of Stroke*(Speed in RPM/60)*(Height of centre of cylinder+Height to which liquid is raised)
Work Done by Reciprocating Pumps
Go Work = Specific Weight*Area of Piston*Length of Stroke*Speed in RPM*(Height of centre of cylinder+Height to which liquid is raised)/60
Power Required to Drive Double acting Reciprocating Pump
Go Power = 2*Specific Weight*Area of Piston*Length of Stroke*Speed*(Height of centre of cylinder+Height to which liquid is raised)/60
Rate of Flow of Liquid into Air Vessel given Stroke Length
Go Rate of Flow = (Area of cylinder*Angular Velocity*(Length of stroke/2))*(sin(Angle between crank and flow rate)-(2/pi))
Discharge of Double Acting Reciprocating Pump
Go Discharge = (pi/4)*Length of stroke*((2*(Piston Diameter^2))-(Diameter of piston rod^2))*(Speed/60)
Volume of liquid delivered in one revolution of crank- double acting reciprocating pump
Go Volume of Liquid = (pi/4)*Length of stroke*((2*(Piston Diameter^2))-(Diameter of piston rod^2))
Weight of Water Delivered by Reciprocating Pump given Speed
Go Weight of liquid = Specific Weight*Area of Piston*Length of Stroke*Speed/60
Discharge of Double Acting Reciprocating Pump neglecting Diameter of Piston Rod
Go Discharge = 2*Area of Piston*Length of stroke*Speed/60
Discharge of Reciprocating Pump
Go Discharge = Area of Piston*Length of stroke*Speed/60
Volume of liquid sucked in during suction stroke
Go Volume of liquid sucked = Area of Piston*Length of stroke

Power Required to Drive Double acting Reciprocating Pump Formula

Power = 2*Specific Weight*Area of Piston*Length of Stroke*Speed*(Height of centre of cylinder+Height to which liquid is raised)/60
P = 2*γ*Ap*L*N*(hs+hd)/60

What are reciprocating pumps?

The reciprocating pump is a positive displacement pump as it sucks and raises the liquid by actually displacing it with a piston/plunger that executes a reciprocating motion in a closely fitting cylinder. The amount of liquid pumped is equal to the volume displaced by the piston.

How to Calculate Power Required to Drive Double acting Reciprocating Pump?

Power Required to Drive Double acting Reciprocating Pump calculator uses Power = 2*Specific Weight*Area of Piston*Length of Stroke*Speed*(Height of centre of cylinder+Height to which liquid is raised)/60 to calculate the Power, The Power Required to Drive Double acting Reciprocating Pump formula is defined as work done per second divided by 1000. Power is denoted by P symbol.

How to calculate Power Required to Drive Double acting Reciprocating Pump using this online calculator? To use this online calculator for Power Required to Drive Double acting Reciprocating Pump, enter Specific Weight (γ), Area of Piston (Ap), Length of Stroke (L), Speed (N), Height of centre of cylinder (hs) & Height to which liquid is raised (hd) and hit the calculate button. Here is how the Power Required to Drive Double acting Reciprocating Pump calculation can be explained with given input values -> 66.528 = 2*112*0.05*0.88*100*(1.45+2.6)/60.

FAQ

What is Power Required to Drive Double acting Reciprocating Pump?
The Power Required to Drive Double acting Reciprocating Pump formula is defined as work done per second divided by 1000 and is represented as P = 2*γ*Ap*L*N*(hs+hd)/60 or Power = 2*Specific Weight*Area of Piston*Length of Stroke*Speed*(Height of centre of cylinder+Height to which liquid is raised)/60. Specific Weight is defined as weight per unit volume. It is the specific weight of the liquid for which the calculation is being done, Area of piston is the value of area of the piston in a piston pump, Length of stroke is the range of movement of piston, Speed of a machine/body in rpm, Height of centre of cylinder in meters & Height to which liquid is raised in meters.
How to calculate Power Required to Drive Double acting Reciprocating Pump?
The Power Required to Drive Double acting Reciprocating Pump formula is defined as work done per second divided by 1000 is calculated using Power = 2*Specific Weight*Area of Piston*Length of Stroke*Speed*(Height of centre of cylinder+Height to which liquid is raised)/60. To calculate Power Required to Drive Double acting Reciprocating Pump, you need Specific Weight (γ), Area of Piston (Ap), Length of Stroke (L), Speed (N), Height of centre of cylinder (hs) & Height to which liquid is raised (hd). With our tool, you need to enter the respective value for Specific Weight, Area of Piston, Length of Stroke, Speed, Height of centre of cylinder & Height to which liquid is raised and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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