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velagapudi ramakrishna siddhartha engineering college (vr siddhartha engineering college), vijayawada
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Work done by pump per stroke against friction Solution

STEP 0: Pre-Calculation Summary
Formula Used
workdone = (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)/(2*dpipe*g))*((A/ad)*(ω*r))^2)
This formula uses 9 Variables
Variables Used
Length of stroke - Length of stroke is the range of movement of piston. (Measured in Meter)
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 - Length of Pipe describes the length of the pipe in which the liquid is flowing. (Measured in Centimeter)
Pipe Diameter - Pipe Diameter is the diameter of the pipe in which the liquid is flowing. (Measured in Meter)
Acceleration Due To Gravity - The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force. (Measured in Meter per Square Second)
Area of cylinder - Area of cylinder is defined as the total space covered by the flat surfaces of the bases of the cylinder and the curved surface. (Measured in Square Meter)
Area of delivery pipe - Area of delivery pipe through which the liquid is delivered. (Measured in Square Meter)
Angular Velocity - 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. (Measured in Radian per Second)
Crank radius - Crank radius is radius of the crank. (Measured in Millimeter)
STEP 1: Convert Input(s) to Base Unit
Length of stroke: 0.5 Meter --> 0.5 Meter No Conversion Required
Friction factor: 1 --> No Conversion Required
Length of Pipe: 10 Centimeter --> 0.1 Meter (Check conversion here)
Pipe Diameter: 1 Meter --> 1 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: 0.5 Square Meter --> 0.5 Square Meter No Conversion Required
Area of delivery pipe: 0.2 Square Meter --> 0.2 Square Meter No Conversion Required
Angular Velocity: 1 Radian per Second --> 1 Radian per Second No Conversion Required
Crank radius: 5 Millimeter --> 0.005 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
W = (2/3)*L*(((4*f*L)/(2*dpipe*g))*((A/ad)*(ω*r))^2) --> (2/3)*0.5*(((4*1*0.1)/(2*1*9.8))*((0.5/0.2)*(1*0.005))^2)
Evaluating ... ...
W = 1.06292517006803E-06
STEP 3: Convert Result to Output's Unit
1.06292517006803E-06 Joule -->1.06292517006803E-06 Newton Meter (Check conversion here)
FINAL ANSWER
1.06292517006803E-06 Newton Meter <-- Work done
(Calculation completed in 00.047 seconds)

7 Work Done Calculators

Work done by pump per stroke against friction
workdone = (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) Go
Work done per second by double-acting pump considering all head losses
work_done = (2*Specific Weight*Area of cylinder*Length of stroke*Speed/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)) Go
Work done per second by single-acting pump considering all head losses
work_done = (Specific Weight*Area of cylinder*Length of stroke*Speed/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)) Go
Work done per second of a double acting reciprocating pump
work = 2*Specific Weight*Area of piston*Length of stroke*(Speed/60)*(Height of the centre of the cylinder+Height to which the liquid is raised) Go
Work done per second for Reciprocating pumps
work = Specific Weight*Area of piston*Length of stroke*Speed*(Height of the centre of the cylinder+Height to which the liquid is raised)/60 Go
Work done against friction in delivery pipe
work_done = (2/3)*Length of stroke*Head loss due to friction in delivery pipe Go
Work done against friction in suction pipe
work_done = (2/3)*Length of stroke*Head loss due to friction in suction pipe Go

Work done by pump per stroke against friction Formula

workdone = (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)/(2*dpipe*g))*((A/ad)*(ω*r))^2)

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 workdone = (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 done, 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 done 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 Diameter (dpipe), Acceleration Due To Gravity (g), Area of cylinder (A), Area of delivery pipe (ad), 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 -> 1.063E-6 = (2/3)*0.5*(((4*1*0.1)/(2*1*9.8))*((0.5/0.2)*(1*0.005))^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)/(2*dpipe*g))*((A/ad)*(ω*r))^2) or workdone = (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, The 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 workdone = (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 Diameter (dpipe), Acceleration Due To Gravity (g), Area of cylinder (A), Area of delivery pipe (ad), 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 done?
In this formula, Work done 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 7 other way(s) to calculate the same, which is/are as follows -
  • work_done = (2/3)*Length of stroke*Head loss due to friction in delivery pipe
  • work_done = (2/3)*Length of stroke*Head loss due to friction in suction pipe
  • work_done = (2*Specific Weight*Area of cylinder*Length of stroke*Speed/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 = (Specific Weight*Area of cylinder*Length of stroke*Speed/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 = Specific Weight*Area of piston*Length of stroke*Speed*(Height of the centre of the cylinder+Height to which the liquid is raised)/60
  • work = 2*Specific Weight*Area of piston*Length of stroke*(Speed/60)*(Height of the centre of the cylinder+Height to which the liquid is raised)
  • workdone = (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)
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