Work Done by Single-acting Pump considering all Head Losses Calculator

✖Specific Weight the ratio of a body’s weight P to its volume V.ⓘ Specific Weight [SW]			+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 considering all Head Losses [W]

⎘ Copy

👎

Formula

✖

Work Done by Single-acting Pump considering all Head Losses

Formula

`"W" = ("SW"*"A"*"L"*"N"/60)*("h"_{"s"}+"h"_{"del"}+((2/3)*"h"_{"fs"})+((2/3)*"h"_{"fd"}))`

Example

`"10296N*m"=("0.75kN/m³"*"0.6m²"*"0.88m"*"100"/60)*("7m"+"5m"+((2/3)*"2.4m")+((2/3)*"3m"))`

Calculator

LaTeX

Reset

👍

Download Fluid Mechanics Formula PDF

Work Done by Single-acting Pump considering all Head Losses Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
W = (SW*A*L*N/60)*(h_s+h_del+((2/3)*h_fs)+((2/3)*h_fd))
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.
Specific Weight - (Measured in Newton per Cubic Meter) - Specific Weight the ratio of a body’s weight P to its volume V.
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

Specific Weight: 0.75 Kilonewton per Cubic Meter --> 750 Newton per Cubic Meter (Check conversion here)
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 = (SW*A*L*N/60)*(h_s+h_del+((2/3)*h_fs)+((2/3)*h_fd)) --> (750*0.6*0.88*100/60)*(7+5+((2/3)*2.4)+((2/3)*3))

Evaluating ... ...

W = 10296

STEP 3: Convert Result to Output's Unit

10296 Joule -->10296 Newton Meter (Check conversion here)

FINAL ANSWER

10296 Newton Meter <-- Work

(Calculation completed in 00.020 seconds)

You are here -

Home » Physics » Fluid Mechanics » Fluid Machinery » Reciprocating Pumps » Single Acting Pumps » Work Done by Single-acting Pump considering all Head Losses

Credits

Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has created this Calculator and 200+ more calculators!

Verified by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has verified this Calculator and 400+ more calculators!

< 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 considering all Head Losses Formula

What is head loss due to friction?

In fluid flow, friction loss is the loss of pressure or “head” that occurs in pipe or duct flow due to the effect of the fluid's viscosity near the surface of the pipe or duct.

How to Calculate Work Done by Single-acting Pump considering all Head Losses?

Work Done by Single-acting Pump considering all Head Losses calculator uses 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)) to calculate the Work, The Work Done by Single-acting Pump considering all Head Losses formula is defined as the product of specific weight, area of the cylinder, stroke length, speed divided by 60 and sum of suction head, delivery head, 2/3 of head loss due to friction during suction and delivery. Work is denoted by W symbol.

How to calculate Work Done by Single-acting Pump considering all Head Losses using this online calculator? To use this online calculator for Work Done by Single-acting Pump considering all Head Losses, enter Specific Weight (SW), 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 considering all Head Losses calculation can be explained with given input values -> 10296 = (750*0.6*0.88*100/60)*(7+5+((2/3)*2.4)+((2/3)*3)).

FAQ

What is Work Done by Single-acting Pump considering all Head Losses?

The Work Done by Single-acting Pump considering all Head Losses formula is defined as the product of specific weight, area of the cylinder, stroke length, speed divided by 60 and sum of suction head, delivery head, 2/3 of head loss due to friction during suction and delivery and is represented as W = (SW*A*L*N/60)*(h_s+h_del+((2/3)*h_fs)+((2/3)*h_fd)) or 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)). Specific Weight the ratio of a body’s weight P to its volume V, 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 considering all Head Losses?

The Work Done by Single-acting Pump considering all Head Losses formula is defined as the product of specific weight, area of the cylinder, stroke length, speed divided by 60 and sum of suction head, delivery head, 2/3 of head loss due to friction during suction and delivery is calculated using 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)). To calculate Work Done by Single-acting Pump considering all Head Losses, you need Specific Weight (SW), 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 Specific Weight, 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 Specific Weight, 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 = (2/3)*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
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)

Home

FREE PDFs

🔍 Search