Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes Calculator

✖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.ⓘ Density [ρ]			+10% -10%
✖Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration Due to Gravity [g]			+10% -10%
✖Area of cylinder is defined as the total space covered by the flat surfaces of the bases of the cylinder and the curved surface.ⓘ Area of cylinder [A]			+10% -10%
✖Length of stroke is the range of movement of piston.ⓘ Length of Stroke [L]			+10% -10%
✖Speed in RPM is the number of turns of the object divided by time, specified as revolutions per minute (rpm).ⓘ Speed in RPM [N]			+10% -10%
✖Suction Head is the vertical height of the center line of the pump shaft.ⓘ Suction Head [h_s]			+10% -10%
✖Delivery head is vertical height of the liquid surface in the tank/reservoir to which the liquid is delivered.ⓘ Delivery Head [h_del]			+10% -10%
✖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 Suction Pipe [h_fs]			+10% -10%
✖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.ⓘ Head loss due to friction in delivery pipe [h_fd]			+10% -10%

✖Work is done when a force that is applied to an object moves that object.ⓘ Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes [W]

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Formula

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

Formula

`"W" = (("ρ"*"g"*"A"*"L"*"N")/60)*("h"_{"s"}+"h"_{"del"}+0.66*"h"_{"fs"}+0.66*"h"_{"fd"})`

Example

`"164.4243N*m"=(("1.225kg/m³"*"9.8m/s²"*"0.6m²"*"0.88m"*"100")/60)*("7m"+"5m"+0.66*"2.4m"+0.66*"3m")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Work = ((Density*Acceleration Due to Gravity*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 = ((ρ*g*A*L*N)/60)*(h_s+h_del+0.66*h_fs+0.66*h_fd)
This formula uses 10 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.
Acceleration Due to Gravity - (Measured in Meter per Square Second) - Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.
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
Acceleration Due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Area of cylinder: 0.6 Square Meter --> 0.6 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: 7 Meter --> 7 Meter No Conversion Required
Delivery Head: 5 Meter --> 5 Meter No Conversion Required
Head Loss due to Friction in Suction Pipe: 2.4 Meter --> 2.4 Meter No Conversion Required
Head loss due to friction in delivery pipe: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = ((ρ*g*A*L*N)/60)*(h_s+h_del+0.66*h_fs+0.66*h_fd) --> ((1.225*9.8*0.6*0.88*100)/60)*(7+5+0.66*2.4+0.66*3)

Evaluating ... ...

W = 164.4243216

STEP 3: Convert Result to Output's Unit

164.4243216 Joule -->164.4243216 Newton Meter (Check conversion here)

FINAL ANSWER

164.4243216 ≈ 164.4243 Newton Meter <-- Work

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Reciprocating Pumps » Single Acting Pumps » Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes

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< 9 Single Acting Pumps Calculators

Loss of head due to friction in delivery pipe

Go Head loss due to friction in delivery pipe = ((2*Coefficient of Friction*Length of delivery pipe)/(Diameter of delivery pipe*[g]))*(((Area of cylinder/Area of delivery pipe)*Angular Velocity*Radius of crank*sin(Angle turned by crank))^2)

Loss of head due to friction in suction pipe

Go Head loss due to friction in suction pipe = ((2*Coefficient of Friction*Length of suction pipe)/(Diameter of suction pipe*[g]))*(((Area of cylinder/Area of Suction Pipe)*Angular Velocity*Radius of crank*sin(Angle turned by crank))^2)

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

Go Work = ((Density*Acceleration Due to Gravity*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 Single-acting Pump considering all Head Losses

Go Work = (Specific Weight*Area of cylinder*Length of Stroke*Speed in RPM/60)*(Suction Head+Delivery Head+((2/3)*Head Loss due to Friction in Suction Pipe)+((2/3)*Head loss due to friction in delivery pipe))

Pressure Head due to Acceleration in Delivery Pipe

Go Pressure Head due to Acceleration in Delivery Pipe = (Length of delivery pipe*Area of cylinder*(Angular Velocity^2)*Radius of crank*cos(Angle turned by crank))/([g]*Area of delivery pipe)

Pressure Head due to Acceleration in Suction Pipe

Go Pressure head due to acceleration in suction pipe = (Length of suction pipe*Area of cylinder*(Angular Velocity^2)*Radius of crank*cos(Angle turned by crank))/([g]*Area of Suction Pipe)

Velocity of water in suction and delivery pipes due to acceleration or retardation

Go Velocity = (Area of cylinder/Area of Suction Pipe)*(Angular Velocity*Radius of crank*sin(Angle turned by crank))

Work done against friction in delivery pipe

Go Work = (2/3)*Length of Stroke*Head loss due to friction in delivery pipe

Work done against friction in suction pipe

Go Work = (2/3)*Length of Stroke*Head Loss due to Friction in Suction Pipe

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

What is single-acting pump?

Single-acting reciprocating pump consists of a piston of which only one side engages the fluid being displaced. The simplest example would be a syringe. Double-acting reciprocating pump engage with both sides of the piston, each stroke of the piston carries out both suction and expulsion at the same time.

What is the function of single-acting cylinder?

A single-acting cylinder in a reciprocating engine is a cylinder in which the working fluid acts on one side of the piston only. A single-acting cylinder relies on the load, springs, other cylinders, or the momentum of a flywheel, to push the piston back in the other direction.

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

Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes calculator uses Work = ((Density*Acceleration Due to Gravity*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, The Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes formula is defined as the measure of energy transfer that occurs when fluid is moved over a distance by an external force at least part of which is applied in the direction of the displacement. Work is denoted by W symbol.

How to calculate Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes using this online calculator? To use this online calculator for Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes, enter Density (ρ), Acceleration Due to Gravity (g), Area of cylinder (A), Length of Stroke (L), Speed in RPM (N), Suction Head (h_s), Delivery Head (h_del), Head Loss due to Friction in Suction Pipe (h_fs) & Head loss due to friction in delivery pipe (h_fd) and hit the calculate button. Here is how the Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes calculation can be explained with given input values -> 164.4243 = ((1.225*9.8*0.6*0.88*100)/60)*(7+5+0.66*2.4+0.66*3).

FAQ

What is Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes?

The Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes formula is defined as the measure of energy transfer that occurs when fluid is moved over a distance by an external force at least part of which is applied in the direction of the displacement and is represented as W = ((ρ*g*A*L*N)/60)*(h_s+h_del+0.66*h_fs+0.66*h_fd) or Work = ((Density*Acceleration Due to Gravity*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, Acceleration Due to Gravity is acceleration gained by an object because of gravitational force, 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 Single Acting Pump due to Friction in Suction and Delivery Pipes?

The Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes formula is defined as the measure of energy transfer that occurs when fluid is moved over a distance by an external force at least part of which is applied in the direction of the displacement is calculated using Work = ((Density*Acceleration Due to Gravity*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 Single Acting Pump due to Friction in Suction and Delivery Pipes, you need Density (ρ), Acceleration Due to Gravity (g), Area of cylinder (A), Length of Stroke (L), Speed in RPM (N), Suction Head (h_s), Delivery Head (h_del), Head Loss due to Friction in Suction Pipe (h_fs) & Head loss due to friction in delivery pipe (h_fd). With our tool, you need to enter the respective value for Density, Acceleration Due to Gravity, 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, Acceleration Due to Gravity, 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 = (Specific Weight*Area of cylinder*Length of Stroke*Speed in RPM/60)*(Suction Head+Delivery Head+((2/3)*Head Loss due to Friction in Suction Pipe)+((2/3)*Head loss due to friction in delivery pipe))
Work = (2/3)*Length of Stroke*Head Loss due to Friction in Suction Pipe
Work = (2/3)*Length of Stroke*Head loss due to friction in delivery pipe

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