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%
✖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%
✖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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Formula

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

Formula

`"W" = (("ρ"*"g"*"A"*"L"*"N"_{"cr"})/60)*("h"_{"s"}+"h"_{"del"}+"h"_{"fs"}+"h"_{"fd"})`

Example

`"202.2026N*m"=(("1.225kg/m³"*"9.8m/s²"*"0.6m²"*"0.88m"*"110")/60)*("7m"+"5m"+"2.4m"+"3m")`

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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*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)
W = ((ρ*g*A*L*N_cr)/60)*(h_s+h_del+h_fs+h_fd)
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.
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.
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.
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
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
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*9.8*0.6*0.88*110)/60)*(7+5+2.4+3)

Evaluating ... ...

W = 202.202616

STEP 3: Convert Result to Output's Unit

202.202616 Joule -->202.202616 Newton Meter (Check conversion here)

FINAL ANSWER

202.202616 ≈ 202.2026 Newton Meter <-- Work

(Calculation completed in 00.020 seconds)

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

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

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*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) to calculate the Work, The Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes formula is defined as the 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 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), Acceleration Due to Gravity (g), 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 -> 202.2026 = ((1.225*9.8*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?

The Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes formula is defined as the 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 = ((ρ*g*A*L*N_cr)/60)*(h_s+h_del+h_fs+h_fd) or 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). 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, 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, 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?

The Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes formula is defined as the 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 = ((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). To calculate Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes, you need Density (ρ), Acceleration Due to Gravity (g), 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, Acceleration Due to Gravity, 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, Acceleration Due to Gravity, 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 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 = (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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