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%
✖The Pipe Diameter refers to the diameter of the pipe in which the liquid is flowing.ⓘ Pipe Diameter [d_pipe]			+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 defined as the measurement of its radius.ⓘ Crank Radius [r_crnk]			+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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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*[g]))*((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_crnk))^2
This formula uses 1 Constants, 9 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

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) - The Pipe Diameter refers to the diameter of the pipe in which the liquid is flowing.
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 defined as the measurement of its radius.

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
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_crnk))^2 --> (2/3)*0.88*((4*0.63*0.1)/(2*1.01*[g]))*((0.6/0.25)*(2.5*3.7))^2

Evaluating ... ...

W = 3.67811969176503

STEP 3: Convert Result to Output's Unit

3.67811969176503 Joule -->3.67811969176503 Newton Meter (Check conversion here)

FINAL ANSWER

3.67811969176503 ≈ 3.67812 Newton Meter <-- Work

(Calculation completed in 00.035 seconds)

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

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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+((2/3)*Head Loss due to Friction in Delivery Pipe)+((2/3)*Head Loss due to Friction in Suction Pipe))

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 pump per stroke against friction Formula

LaTeX Go

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*[g]))*((Area of Cylinder/Area of Delivery Pipe)*(Angular Velocity*Crank Radius))^2 to calculate the Work, Work done by pump per stroke against friction formula is defined as the energy expended by a reciprocating pump in overcoming frictional forces during each stroke, which affects the pump's overall efficiency and performance in fluid transportation systems. 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), Area of Cylinder (A), Area of Delivery Pipe (a_d), Angular Velocity (ω) & Crank Radius (r_crnk) 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 -> 3.67812 = (2/3)*0.88*((4*0.63*0.1)/(2*1.01*[g]))*((0.6/0.25)*(2.5*3.7))^2.

FAQ

What is Work done by pump per stroke against friction?

Work done by pump per stroke against friction formula is defined as the energy expended by a reciprocating pump in overcoming frictional forces during each stroke, which affects the pump's overall efficiency and performance in fluid transportation systems and is represented as W = (2/3)*L*((4*f*L_pipe)/(2*d_pipe*[g]))*((A/a_d)*(ω*r_crnk))^2 or Work = (2/3)*Length of Stroke*((4*Friction Factor*Length of Pipe)/(2*Pipe Diameter*[g]))*((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, The Pipe Diameter refers to the diameter of the pipe in which the liquid is flowing, 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 defined as the measurement of its radius.

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

Work done by pump per stroke against friction formula is defined as the energy expended by a reciprocating pump in overcoming frictional forces during each stroke, which affects the pump's overall efficiency and performance in fluid transportation systems is calculated using Work = (2/3)*Length of Stroke*((4*Friction Factor*Length of Pipe)/(2*Pipe Diameter*[g]))*((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), Area of Cylinder (A), Area of Delivery Pipe (a_d), Angular Velocity (ω) & Crank Radius (r_crnk). With our tool, you need to enter the respective value for Length of Stroke, Friction Factor, Length of Pipe, Pipe Diameter, 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, Area of Cylinder, Area of Delivery Pipe, Angular Velocity & Crank Radius. 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+((2/3)*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)

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