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

STEP 0: Pre-Calculation Summary
Formula Used
Work done against friction in suction pipe = ((Density*[g]*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)
Wfs = ((ρ*[g]*A*L*N)/60)*(hs+hdel+0.66*hfs+0.66*hfd)
This formula uses 1 Constants, 9 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Work done against friction in suction pipe - (Measured in Joule) - Work done against friction in suction pipe is the energy lost due to friction in the suction pipe of a single acting pump during its operation.
Density - (Measured in Kilogram per Cubic Meter) - Density is the mass of a fluid per unit volume, typically measured in units of mass per unit volume, such as kilograms per cubic meter.
Area of cylinder - (Measured in Square Meter) - Area of cylinder is the area of the circular base of a cylinder, used to calculate the volume of a single acting pump.
Length of Stroke - (Measured in Meter) - Length of Stroke is the distance of the piston's movement in a single acting pump, which affects the pump's overall performance and efficiency.
Speed in RPM - Speed in RPM is the rotational speed of the pump's drive shaft, typically measured in revolutions per minute, indicating the pump's operating speed.
Suction Head - (Measured in Meter) - Suction Head is the vertical distance from the centerline of the pump to the suction nozzle of a single acting pump, affecting pump performance.
Delivery Head - (Measured in Meter) - Delivery Head is the maximum pressure or head developed by a single acting pump, typically measured at the pump's outlet, during its operation.
Head Loss due to Friction in Suction Pipe - (Measured in Meter) - Head Loss due to Friction in Suction Pipe is the pressure drop that occurs in the suction pipe of a single acting pump due to frictional resistance.
Head loss due to friction in delivery pipe - (Measured in Meter) - Head loss due to friction in delivery pipe is the reduction in pressure head of a fluid due to frictional forces in the delivery pipe of a single acting pump.
STEP 1: Convert Input(s) to Base Unit
Density: 0.003218 Kilogram per Cubic Meter --> 0.003218 Kilogram per Cubic Meter 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: 0.654872 Meter --> 0.654872 Meter No Conversion Required
Head loss due to friction in delivery pipe: 2.124929 Meter --> 2.124929 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Wfs = ((ρ*[g]*A*L*N)/60)*(hs+hdel+0.66*hfs+0.66*hfd) --> ((0.003218*[g]*0.6*0.88*100)/60)*(7+5+0.66*0.654872+0.66*2.124929)
Evaluating ... ...
Wfs = 0.38420069818957
STEP 3: Convert Result to Output's Unit
0.38420069818957 Joule -->0.38420069818957 Newton Meter (Check conversion ​here)
FINAL ANSWER
0.38420069818957 0.384201 Newton Meter <-- Work done against friction in suction pipe
(Calculation completed in 00.004 seconds)

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Single Acting Pumps Calculators

Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes
​ LaTeX ​ Go Work done against friction in suction pipe = ((Density*[g]*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
​ LaTeX ​ Go Work done against friction in delivery pipe = (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 done against friction in delivery pipe
​ LaTeX ​ Go Work done against friction in delivery pipe = (2/3)*Length of Stroke*Head loss due to friction in delivery pipe
Work done against friction in suction pipe
​ LaTeX ​ Go Work done against friction in suction pipe = (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

​LaTeX ​Go
Work done against friction in suction pipe = ((Density*[g]*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)
Wfs = ((ρ*[g]*A*L*N)/60)*(hs+hdel+0.66*hfs+0.66*hfd)

What is Suction and Delivery Pipes?

Suction and delivery pipes are components used in pump systems to transport fluids. The suction pipe connects the fluid source to the pump, allowing the fluid to be drawn into the pump for processing. The delivery pipe, on the other hand, carries the pressurized fluid from the pump to the discharge point or storage. Both pipes are essential for efficient fluid transfer, with proper design needed to minimize losses and ensure smooth flow throughout the system.

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 done against friction in suction pipe = ((Density*[g]*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 done against friction in suction pipe, Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes formula is defined as the total energy lost due to friction in the suction and delivery pipes of a reciprocating pump, considering the pump's design and operational parameters. Work done against friction in suction pipe is denoted by Wfs 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), Area of cylinder (A), Length of Stroke (L), Speed in RPM (N), Suction Head (hs), Delivery Head (hdel), Head Loss due to Friction in Suction Pipe (hfs) & Head loss due to friction in delivery pipe (hfd) 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 -> 0.383843 = ((0.003218*[g]*0.6*0.88*100)/60)*(7+5+0.66*0.654872+0.66*2.124929).

FAQ

What is 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 formula is defined as the total energy lost due to friction in the suction and delivery pipes of a reciprocating pump, considering the pump's design and operational parameters and is represented as Wfs = ((ρ*[g]*A*L*N)/60)*(hs+hdel+0.66*hfs+0.66*hfd) or Work done against friction in suction pipe = ((Density*[g]*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). Density is the mass of a fluid per unit volume, typically measured in units of mass per unit volume, such as kilograms per cubic meter, Area of cylinder is the area of the circular base of a cylinder, used to calculate the volume of a single acting pump, Length of Stroke is the distance of the piston's movement in a single acting pump, which affects the pump's overall performance and efficiency, Speed in RPM is the rotational speed of the pump's drive shaft, typically measured in revolutions per minute, indicating the pump's operating speed, Suction Head is the vertical distance from the centerline of the pump to the suction nozzle of a single acting pump, affecting pump performance, Delivery Head is the maximum pressure or head developed by a single acting pump, typically measured at the pump's outlet, during its operation, Head Loss due to Friction in Suction Pipe is the pressure drop that occurs in the suction pipe of a single acting pump due to frictional resistance & Head loss due to friction in delivery pipe is the reduction in pressure head of a fluid due to frictional forces in the delivery pipe of a single acting pump.
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 formula is defined as the total energy lost due to friction in the suction and delivery pipes of a reciprocating pump, considering the pump's design and operational parameters is calculated using Work done against friction in suction pipe = ((Density*[g]*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), Area of cylinder (A), Length of Stroke (L), Speed in RPM (N), Suction Head (hs), Delivery Head (hdel), Head Loss due to Friction in Suction Pipe (hfs) & Head loss due to friction in delivery pipe (hfd). With our tool, you need to enter the respective value for Density, 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 done against friction in suction pipe?
In this formula, Work done against friction in suction pipe uses Density, 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 1 other way(s) to calculate the same, which is/are as follows -
  • Work done against friction in suction pipe = (2/3)*Length of Stroke*Head Loss due to Friction in Suction Pipe
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