Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes Calculator

✖The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.ⓘ Density [ρ]			+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%
✖Crank Speed is the speed of the crank of the reciprocating pump.ⓘ Crank Speed [N_cr]			+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 Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes [W]

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Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work = ((Density*[g]*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)
W = ((ρ*[g]*A*L*N_cr)/60)*(h_s+h_del+h_fs+h_fd)
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.
Density - (Measured in Kilogram per Cubic Meter) - The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
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.
Crank Speed - Crank Speed is the speed of the crank of the reciprocating pump.
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

Density: 1.225 Kilogram per Cubic Meter --> 1.225 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
Crank Speed: 110 --> 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 = ((ρ*[g]*A*L*N_cr)/60)*(h_s+h_del+h_fs+h_fd) --> ((1.225*[g]*0.6*0.88*110)/60)*(7+5+2.4+3)

Evaluating ... ...

W = 202.339824918

STEP 3: Convert Result to Output's Unit

202.339824918 Joule -->202.339824918 Newton Meter (Check conversion here)

FINAL ANSWER

202.339824918 ≈ 202.3398 Newton Meter <-- Work

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Reciprocating Pumps » Mechanical » Double Acting Pumps » Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes

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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 Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes Formula

LaTeX Go

What is a air vessel ?

The air vessel is used as an accumulator to store compressed air, to separate condensate through cooling and to compensate for pressure fluctuations in a compressed air distribution system. In water supply systems, air vessels are used as safety components to avoid surge pressure.

Why the air vessel is fitted in the discharge side of the pump?

An air vessel usually fitted in the discharge pipe work to dampen out the pressure variations during discharge. As the discharge pressure rises the air is compressed in the vessel, and as the pressure falls the air expands.

How to Calculate Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes?

Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes calculator uses Work = ((Density*[g]*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) to calculate the Work, Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes formula is defined as the total energy transferred by the pump in lifting the fluid against gravity and overcoming frictional losses in the suction and delivery pipes of a reciprocating pump system. Work is denoted by W symbol.

How to calculate Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes using this online calculator? To use this online calculator for Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes, enter Density (ρ), Area of Cylinder (A), Length of Stroke (L), Crank Speed (N_cr), 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 Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes calculation can be explained with given input values -> 202.3398 = ((1.225*[g]*0.6*0.88*110)/60)*(7+5+2.4+3).

FAQ

What is Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes?

Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes formula is defined as the total energy transferred by the pump in lifting the fluid against gravity and overcoming frictional losses in the suction and delivery pipes of a reciprocating pump system and is represented as W = ((ρ*[g]*A*L*N_cr)/60)*(h_s+h_del+h_fs+h_fd) or Work = ((Density*[g]*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). The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object, 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, Crank Speed is the speed of the crank of the reciprocating pump, 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 Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes?

Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes formula is defined as the total energy transferred by the pump in lifting the fluid against gravity and overcoming frictional losses in the suction and delivery pipes of a reciprocating pump system is calculated using Work = ((Density*[g]*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). To calculate Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes, you need Density (ρ), Area of Cylinder (A), Length of Stroke (L), Crank Speed (N_cr), 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 Density, Area of Cylinder, Length of Stroke, Crank Speed, 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 Density, Area of Cylinder, Length of Stroke, Crank Speed, 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*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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