Work Done by Double Acting Pump due to Friction in Suction and Delivery Pipes Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
W = ((2*ρ*A*L*N)/60)*(hs+hdel+0.66*hfs+0.66*hfd)
This formula uses 9 Variables
Variables Used
Work - (Measured in Joule) - Work is done when a force that is applied to an object moves that object.
Density - (Measured in Kilogram per Cubic Meter) - The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
Area of Cylinder - (Measured in Square Meter) - Area of cylinder is defined as the total space covered by the flat surfaces of the bases of the cylinder and the curved surface.
Length of Stroke - (Measured in Meter) - Length of Stroke is the range of movement of piston.
Speed in RPM - Speed in RPM is the number of turns of the object divided by time, specified as revolutions per minute (rpm).
Suction Head - (Measured in Meter) - Suction Head is the vertical height of the center line of the pump shaft.
Delivery Head - (Measured in Meter) - Delivery head is vertical height of the liquid surface in the tank/reservoir to which the liquid is delivered.
Head Loss due to Friction in Suction Pipe - (Measured in Meter) - Head loss due to friction in suction pipe is ratio of product of friction coeff, length of suction pipe, and velocity squared to product of diameter of pipe and acceleration due to gravity.
Head Loss due to Friction in Delivery Pipe - (Measured in Meter) - Head loss due to friction in delivery pipe is ratio of product of friction coeff, length of delivery pipe, and velocity squared to product of diameter of delivery pipe and acceleration due to gravity.
STEP 1: Convert Input(s) to Base Unit
Density: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Area of Cylinder: 0.3 Square Meter --> 0.3 Square Meter No Conversion Required
Length of Stroke: 0.88 Meter --> 0.88 Meter No Conversion Required
Speed in RPM: 100 --> No Conversion Required
Suction Head: 1.1 Meter --> 1.1 Meter No Conversion Required
Delivery Head: 2.01 Meter --> 2.01 Meter No Conversion Required
Head Loss due to Friction in Suction Pipe: 0.9 Meter --> 0.9 Meter No Conversion Required
Head Loss due to Friction in Delivery Pipe: 0.6 Meter --> 0.6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
W = ((2*ρ*A*L*N)/60)*(hs+hdel+0.66*hfs+0.66*hfd) --> ((2*1.225*0.3*0.88*100)/60)*(1.1+2.01+0.66*0.9+0.66*0.6)
Evaluating ... ...
W = 4.4198
STEP 3: Convert Result to Output's Unit
4.4198 Joule -->4.4198 Newton Meter (Check conversion ​here)
FINAL ANSWER
4.4198 Newton Meter <-- Work
(Calculation completed in 00.004 seconds)

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Double Acting Pumps Calculators

Work Done by Double-acting Pump considering all Head Losses
​ LaTeX ​ Go Work = (2*Specific Weight*Area of Cylinder*Length of Stroke*Speed in RPM/60)*(Suction Head+Delivery Head+(2*Head Loss due to Friction in Delivery Pipe)/3+(2*Head Loss due to Friction in Suction Pipe)/3)
Work Done by Double Acting Reciprocating Pump
​ LaTeX ​ 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)
Discharge of Double Acting Reciprocating Pump
​ LaTeX ​ Go Discharge = pi/4*Length of Stroke*(2*Piston Diameter^2-Diameter of Piston Rod^2)*Speed in RPM/60
Discharge of Double Acting Reciprocating Pump neglecting Diameter of Piston Rod
​ LaTeX ​ Go Discharge = 2*Area of Piston*Length of Stroke*Speed in RPM/60

Work Done by Double Acting Pump due to Friction in Suction and Delivery Pipes Formula

​LaTeX ​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)
W = ((2*ρ*A*L*N)/60)*(hs+hdel+0.66*hfs+0.66*hfd)

What is a double acting pump ?

Double-acting pumps have two power strokes. As a piston of the pump is pushed forward, the fluid is discharged from the forward chamber into the discharge line much like a single-action piston.

What is the difference between single acting and double acting pump?

Single Acting cylinder only extends by pressure from a pump and then retracts by the weight of the load or by an inbuilt spring. A Double Acting cylinder uses hydraulic power to both extend and retract. A simple way to tell the cylinders apart is by looking at the number of ports.

How to Calculate Work Done by Double Acting Pump due to Friction in Suction and Delivery Pipes?

Work Done by Double Acting Pump due to Friction in Suction and Delivery Pipes calculator uses 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) to calculate the Work, Work Done by Double Acting Pump due to Friction in Suction and Delivery Pipes formula is defined as the total energy lost due to friction in the suction and delivery pipes of a reciprocating pump, which affects the pump's overall efficiency and performance. Work is denoted by W symbol.

How to calculate Work Done by Double Acting Pump due to Friction in Suction and Delivery Pipes using this online calculator? To use this online calculator for Work Done by Double Acting Pump due to Friction in Suction and Delivery Pipes, enter Density (ρ), Area of Cylinder (A), Length of Stroke (L), Speed in RPM (N), Suction Head (hs), Delivery Head (hdel), Head Loss due to Friction in Suction Pipe (hfs) & Head Loss due to Friction in Delivery Pipe (hfd) and hit the calculate button. Here is how the Work Done by Double Acting Pump due to Friction in Suction and Delivery Pipes calculation can be explained with given input values -> 4.4198 = ((2*1.225*0.3*0.88*100)/60)*(1.1+2.01+0.66*0.9+0.66*0.6).

FAQ

What is Work Done by Double Acting Pump due to Friction in Suction and Delivery Pipes?
Work Done by Double Acting Pump due to Friction in Suction and Delivery Pipes formula is defined as the total energy lost due to friction in the suction and delivery pipes of a reciprocating pump, which affects the pump's overall efficiency and performance and is represented as W = ((2*ρ*A*L*N)/60)*(hs+hdel+0.66*hfs+0.66*hfd) or 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). The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object, Area of cylinder is defined as the total space covered by the flat surfaces of the bases of the cylinder and the curved surface, Length of Stroke is the range of movement of piston, Speed in RPM is the number of turns of the object divided by time, specified as revolutions per minute (rpm), Suction Head is the vertical height of the center line of the pump shaft, Delivery head is vertical height of the liquid surface in the tank/reservoir to which the liquid is delivered, Head loss due to friction in suction pipe is ratio of product of friction coeff, length of suction pipe, and velocity squared to product of diameter of pipe and acceleration due to gravity & Head loss due to friction in delivery pipe is ratio of product of friction coeff, length of delivery pipe, and velocity squared to product of diameter of delivery pipe and acceleration due to gravity.
How to calculate Work Done by Double Acting Pump due to Friction in Suction and Delivery Pipes?
Work Done by Double Acting Pump due to Friction in Suction and Delivery Pipes formula is defined as the total energy lost due to friction in the suction and delivery pipes of a reciprocating pump, which affects the pump's overall efficiency and performance is calculated using 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). To calculate Work Done by Double Acting Pump due to Friction in Suction and Delivery Pipes, you need Density (ρ), Area of Cylinder (A), Length of Stroke (L), Speed in RPM (N), Suction Head (hs), Delivery Head (hdel), Head Loss due to Friction in Suction Pipe (hfs) & Head Loss due to Friction in Delivery Pipe (hfd). With our tool, you need to enter the respective value for Density, Area of Cylinder, Length of Stroke, Speed in RPM, Suction Head, Delivery Head, Head Loss due to Friction in Suction Pipe & Head Loss due to Friction in Delivery Pipe and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Work?
In this formula, Work uses Density, Area of Cylinder, Length of Stroke, Speed in RPM, Suction Head, Delivery Head, Head Loss due to Friction in Suction Pipe & Head Loss due to Friction in Delivery Pipe. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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 = (2*Specific Weight*Area of Cylinder*Length of Stroke*Speed in RPM/60)*(Suction Head+Delivery Head+(2*Head Loss due to Friction in Delivery Pipe)/3+(2*Head Loss due to Friction in Suction Pipe)/3)
  • Work = Specific Weight*Area of Piston*Length of Stroke*Speed in RPM*(Height of Centre of Cylinder+Height to which Liquid is Raised)/60
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