Work Done by Double-acting Pump considering all Head Losses Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
W = (2*SW*A*L*N/60)*(hs+hdel+((2/3)*hfd)+((2/3)*hfs))
This formula uses 9 Variables
Variables Used
Work - (Measured in Joule) - Work is done when a force that is applied to an object moves that object.
Specific Weight - (Measured in Newton per Cubic Meter) - Specific Weight the ratio of a body’s weight P to its volume V.
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.
Speed in RPM - Speed in RPM is the number of turns of the object divided by time, specified as revolutions per minute (rpm).
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 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.
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.
STEP 1: Convert Input(s) to Base Unit
Specific Weight: 0.75 Kilonewton per Cubic Meter --> 750 Newton per Cubic Meter (Check conversion here)
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 delivery pipe: 3 Meter --> 3 Meter No Conversion Required
Head Loss due to Friction in Suction Pipe: 2.4 Meter --> 2.4 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
W = (2*SW*A*L*N/60)*(hs+hdel+((2/3)*hfd)+((2/3)*hfs)) --> (2*750*0.6*0.88*100/60)*(7+5+((2/3)*3)+((2/3)*2.4))
Evaluating ... ...
W = 20592
STEP 3: Convert Result to Output's Unit
20592 Joule -->20592 Newton Meter (Check conversion here)
FINAL ANSWER
20592 Newton Meter <-- Work
(Calculation completed in 00.020 seconds)

Credits

Created by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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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 Double-acting Pump considering all Head Losses Formula

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))
W = (2*SW*A*L*N/60)*(hs+hdel+((2/3)*hfd)+((2/3)*hfs))

What is head loss due to friction?

In fluid flow, friction loss is the loss of pressure or “head” that occurs in pipe or duct flow due to the effect of the fluid's viscosity near the surface of the pipe or duct.

How to Calculate Work Done by Double-acting Pump considering all Head Losses?

Work Done by Double-acting Pump considering all Head Losses calculator uses 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)) to calculate the Work, The Work Done by Double-acting Pump considering all Head Losses formula is defined as the product of specific weight, area of the cylinder, stroke length, speed divided by 60 and sum of suction head, delivery head, 2/3 of head loss due to friction during suction and delivery. Work is denoted by W symbol.

How to calculate Work Done by Double-acting Pump considering all Head Losses using this online calculator? To use this online calculator for Work Done by Double-acting Pump considering all Head Losses, enter Specific Weight (SW), Area of cylinder (A), Length of Stroke (L), Speed in RPM (N), Suction Head (hs), Delivery Head (hdel), Head loss due to friction in delivery pipe (hfd) & Head Loss due to Friction in Suction Pipe (hfs) and hit the calculate button. Here is how the Work Done by Double-acting Pump considering all Head Losses calculation can be explained with given input values -> 20592 = (2*750*0.6*0.88*100/60)*(7+5+((2/3)*3)+((2/3)*2.4)).

FAQ

What is Work Done by Double-acting Pump considering all Head Losses?
The Work Done by Double-acting Pump considering all Head Losses formula is defined as the product of specific weight, area of the cylinder, stroke length, speed divided by 60 and sum of suction head, delivery head, 2/3 of head loss due to friction during suction and delivery and is represented as W = (2*SW*A*L*N/60)*(hs+hdel+((2/3)*hfd)+((2/3)*hfs)) or 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)). Specific Weight the ratio of a body’s weight P to its volume V, 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, Speed in RPM is the number of turns of the object divided by time, specified as revolutions per minute (rpm), 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 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 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.
How to calculate Work Done by Double-acting Pump considering all Head Losses?
The Work Done by Double-acting Pump considering all Head Losses formula is defined as the product of specific weight, area of the cylinder, stroke length, speed divided by 60 and sum of suction head, delivery head, 2/3 of head loss due to friction during suction and delivery is calculated using 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)). To calculate Work Done by Double-acting Pump considering all Head Losses, you need Specific Weight (SW), Area of cylinder (A), Length of Stroke (L), Speed in RPM (N), Suction Head (hs), Delivery Head (hdel), Head loss due to friction in delivery pipe (hfd) & Head Loss due to Friction in Suction Pipe (hfs). With our tool, you need to enter the respective value for Specific Weight, Area of cylinder, Length of Stroke, Speed in RPM, Suction Head, Delivery Head, Head loss due to friction in delivery pipe & Head Loss due to Friction in Suction 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 Specific Weight, Area of cylinder, Length of Stroke, Speed in RPM, Suction Head, Delivery Head, Head loss due to friction in delivery pipe & Head Loss due to Friction in Suction 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*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 = ((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 = (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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