Work done by pump per stroke against friction Calculator

✖Length of stroke is the range of movement of piston.ⓘ Length of Stroke [L]			+10% -10%
✖The Friction factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.ⓘ Friction Factor [f]			+10% -10%
✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe [L_pipe]			+10% -10%
✖Pipe Diameter is the diameter of the pipe in which the liquid is flowing.ⓘ Pipe Diameter [d_pipe]			+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%
✖Area of delivery pipe through which the liquid is delivered.ⓘ Area of delivery pipe [a_d]			+10% -10%
✖The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.ⓘ Angular Velocity [ω]			+10% -10%
✖Crank radius is radius of the crank.ⓘ Crank radius [r]			+10% -10%

✖Work is done when a force that is applied to an object moves that object.ⓘ Work done by pump per stroke against friction [W]

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Formula

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Work done by pump per stroke against friction

Formula

`"W" = (2/3)*"L"*(((4*"f"*"L"_{"pipe"})/(2*"d"_{"pipe"}*"g"))*(("A"/"a"_{"d"})*("ω"*"r"))^2)`

Example

`"3.680616N*m"=(2/3)*"0.88m"*(((4*"0.63"*"0.10m")/(2*"1.01m"*"9.8m/s²"))*(("0.6m²"/"0.25m²")*("2.5rad/s"*"3.7m"))^2)`

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Work done by pump per stroke against friction Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
W = (2/3)*L*(((4*f*L_pipe)/(2*d_pipe*g))*((A/a_d)*(ω*r))^2)
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.
Length of Stroke - (Measured in Meter) - Length of stroke is the range of movement of piston.
Friction Factor - The Friction factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Pipe Diameter - (Measured in Meter) - Pipe Diameter is the diameter of the pipe in which the liquid is flowing.
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.
Area of delivery pipe - (Measured in Square Meter) - Area of delivery pipe through which the liquid is delivered.
Angular Velocity - (Measured in Radian per Second) - The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
Crank radius - (Measured in Meter) - Crank radius is radius of the crank.

STEP 1: Convert Input(s) to Base Unit

Length of Stroke: 0.88 Meter --> 0.88 Meter No Conversion Required
Friction Factor: 0.63 --> No Conversion Required
Length of Pipe: 0.1 Meter --> 0.1 Meter No Conversion Required
Pipe Diameter: 1.01 Meter --> 1.01 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
Area of delivery pipe: 0.25 Square Meter --> 0.25 Square Meter No Conversion Required
Angular Velocity: 2.5 Radian per Second --> 2.5 Radian per Second No Conversion Required
Crank radius: 3.7 Meter --> 3.7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = (2/3)*L*(((4*f*L_pipe)/(2*d_pipe*g))*((A/a_d)*(ω*r))^2) --> (2/3)*0.88*(((4*0.63*0.1)/(2*1.01*9.8))*((0.6/0.25)*(2.5*3.7))^2)

Evaluating ... ...

W = 3.68061555869873

STEP 3: Convert Result to Output's Unit

3.68061555869873 Joule -->3.68061555869873 Newton Meter (Check conversion here)

FINAL ANSWER

3.68061555869873 ≈ 3.680616 Newton Meter <-- Work

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Reciprocating Pumps » Double Acting Pumps » Work done by pump per stroke against friction

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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

Work done by pump per stroke against friction Formula

What is the function of the pump?

A pump produces liquid movement or flow: it does not generate pressure. It produces the flow necessary for the development of pressure which is a function of resistance to fluid flow in the system.

What is bore and stroke in engine?

An engine's bore is the diameter of each cylinder, while the stroke is the distance within the cylinder the piston travels. Basically, an engine's maximum power depends on how many rpm it can produce.

How to Calculate Work done by pump per stroke against friction?

Work done by pump per stroke against friction calculator uses 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) to calculate the Work, The Work done by pump per stroke against friction formula is defined as 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 pump per stroke against friction using this online calculator? To use this online calculator for Work done by pump per stroke against friction, enter Length of Stroke (L), Friction Factor (f), Length of Pipe (L_pipe), Pipe Diameter (d_pipe), Acceleration Due to Gravity (g), Area of cylinder (A), Area of delivery pipe (a_d), Angular Velocity (ω) & Crank radius (r) and hit the calculate button. Here is how the Work done by pump per stroke against friction calculation can be explained with given input values -> 0.000242 = (2/3)*0.88*(((4*0.63*0.1)/(2*1.01*9.8))*((0.6/0.25)*(2.5*3.7))^2).

FAQ

What is Work done by pump per stroke against friction?

The Work done by pump per stroke against friction formula is defined as 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 = (2/3)*L*(((4*f*L_pipe)/(2*d_pipe*g))*((A/a_d)*(ω*r))^2) or 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). Length of stroke is the range of movement of piston, The Friction factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number, Length of Pipe describes the length of the pipe in which the liquid is flowing, Pipe Diameter is the diameter of the pipe in which the liquid is flowing, 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, Area of delivery pipe through which the liquid is delivered, The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time & Crank radius is radius of the crank.

How to calculate Work done by pump per stroke against friction?

The Work done by pump per stroke against friction formula is defined as 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 = (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). To calculate Work done by pump per stroke against friction, you need Length of Stroke (L), Friction Factor (f), Length of Pipe (L_pipe), Pipe Diameter (d_pipe), Acceleration Due to Gravity (g), Area of cylinder (A), Area of delivery pipe (a_d), Angular Velocity (ω) & Crank radius (r). With our tool, you need to enter the respective value for Length of Stroke, Friction Factor, Length of Pipe, Pipe Diameter, Acceleration Due to Gravity, Area of cylinder, Area of delivery pipe, Angular Velocity & Crank radius 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 Length of Stroke, Friction Factor, Length of Pipe, Pipe Diameter, Acceleration Due to Gravity, Area of cylinder, Area of delivery pipe, Angular Velocity & Crank radius. We can use 5 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+((2/3)*Head loss due to friction in delivery pipe)+((2/3)*Head Loss due to Friction in Suction Pipe))
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 = Specific Weight*Area of Piston*Length of Stroke*Speed in RPM*(Height of centre of cylinder+Height to which liquid is raised)/60
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)

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