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Work done by double acting pump due to acceleration and friction in suction and delivery pipes Solution

STEP 0: Pre-Calculation Summary
Formula Used
work_done = ((2*Density of Fluid*Area of cylinder*Length of stroke*Speed in r.p.m)/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)
w = ((2*ρFluid*A*L*N)/60)*(hs+hd+0.66*hfs+0.66*hfd)
This formula uses 8 Variables
Variables Used
Density of Fluid - Density of Fluid is defined as the mass of fluid per unit volume of the said fluid. (Measured in Kilogram per Meter³)
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)
Length of stroke - Length of stroke is the range of movement of piston. (Measured in Meter)
Speed in r.p.m- Speed in r.p.m is the number of turns of the object divided by time, specified as revolutions per minute (rpm), cycles per second (cps), radians per second (rad/s), etc.
Suction head - Suction head is the vertical height of the center line of the pump shaft. (Measured in Meter)
Delivery head - Delivery head is vertical height of the liquid surface in the tank/reservoir to which the liquid is delivered. (Measured in Meter)
Head loss due to friction in suction pipe - 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. (Measured in Meter)
Head loss due to friction in delivery pipe - 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. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Density of Fluid: 10 Kilogram per Meter³ --> 10 Kilogram per Meter³ No Conversion Required
Area of cylinder: 0.5 Square Meter --> 0.5 Square Meter No Conversion Required
Length of stroke: 0.5 Meter --> 0.5 Meter No Conversion Required
Speed in r.p.m: 10 --> No Conversion Required
Suction head: 5 Meter --> 5 Meter No Conversion Required
Delivery head: 5 Meter --> 5 Meter No Conversion Required
Head loss due to friction in suction pipe: 2 Meter --> 2 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 = ((2*ρFluid*A*L*N)/60)*(hs+hd+0.66*hfs+0.66*hfd) --> ((2*10*0.5*0.5*10)/60)*(5+5+0.66*2+0.66*3)
Evaluating ... ...
w = 11.0833333333333
STEP 3: Convert Result to Output's Unit
11.0833333333333 Joule -->0.0110833333333333 Kilojoule (Check conversion here)
FINAL ANSWER
0.0110833333333333 Kilojoule <-- Work Done
(Calculation completed in 00.031 seconds)

3 Fluid Mechanics Calculators

Work done by single acting pump due to acceleration and friction in suction and delivery pipes
work_done = ((Density of Fluid*Acceleration Due To Gravity*Area of cylinder*Length of stroke*Speed in r.p.m)/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) Go
Work done by double acting pump due to acceleration and friction in suction and delivery pipes
work_done = ((2*Density of Fluid*Area of cylinder*Length of stroke*Speed in r.p.m)/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) Go
Sonic velocity
velocity = sqrt(Bulk Modulus/Density) Go

Work done by double acting pump due to acceleration and friction in suction and delivery pipes Formula

work_done = ((2*Density of Fluid*Area of cylinder*Length of stroke*Speed in r.p.m)/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)
w = ((2*ρFluid*A*L*N)/60)*(hs+hd+0.66*hfs+0.66*hfd)

What is a double acting pump ?

Double-acting pumps have two power strokes. As a piston of the pump is pushed forward, the fluid is discharged from the forward chamber into the discharge line much like a single-action piston.

What is the difference between single acting and double acting pump?

Single Acting cylinder only extends by pressure from a pump and then retracts by the weight of the load or by an inbuilt spring. A Double Acting cylinder uses hydraulic power to both extend and retract. A simple way to tell the cylinders apart is by looking at the number of ports.

How to Calculate Work done by double acting pump due to acceleration and friction in suction and delivery pipes?

Work done by double acting pump due to acceleration and friction in suction and delivery pipes calculator uses work_done = ((2*Density of Fluid*Area of cylinder*Length of stroke*Speed in r.p.m)/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, The Work done by double acting pump due to acceleration and friction in suction and delivery pipes formula is defined as a 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 double acting pump due to acceleration and friction in suction and delivery pipes using this online calculator? To use this online calculator for Work done by double acting pump due to acceleration and friction in suction and delivery pipes, enter Density of Fluid Fluid), Area of cylinder (A), Length of stroke (L), Speed in r.p.m (N), Suction head (hs), Delivery head (hd), 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 double acting pump due to acceleration and friction in suction and delivery pipes calculation can be explained with given input values -> 0.011083 = ((2*10*0.5*0.5*10)/60)*(5+5+0.66*2+0.66*3).

FAQ

What is Work done by double acting pump due to acceleration and friction in suction and delivery pipes?
The Work done by double acting pump due to acceleration and friction in suction and delivery pipes formula is defined as a 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*ρFluid*A*L*N)/60)*(hs+hd+0.66*hfs+0.66*hfd) or work_done = ((2*Density of Fluid*Area of cylinder*Length of stroke*Speed in r.p.m)/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 of Fluid is defined as the mass of fluid per unit volume of the said fluid, 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 r.p.m is the number of turns of the object divided by time, specified as revolutions per minute (rpm), cycles per second (cps), radians per second (rad/s), etc, 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 double acting pump due to acceleration and friction in suction and delivery pipes?
The Work done by double acting pump due to acceleration and friction in suction and delivery pipes formula is defined as a 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_done = ((2*Density of Fluid*Area of cylinder*Length of stroke*Speed in r.p.m)/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 double acting pump due to acceleration and friction in suction and delivery pipes, you need Density of Fluid Fluid), Area of cylinder (A), Length of stroke (L), Speed in r.p.m (N), Suction head (hs), Delivery head (hd), 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 of Fluid, Area of cylinder, Length of stroke, Speed in r.p.m, 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?
In this formula, Work Done uses Density of Fluid, Area of cylinder, Length of stroke, Speed in r.p.m, 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 -
  • velocity = sqrt(Bulk Modulus/Density)
  • work_done = ((Density of Fluid*Acceleration Due To Gravity*Area of cylinder*Length of stroke*Speed in r.p.m)/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 = ((2*Density of Fluid*Area of cylinder*Length of stroke*Speed in r.p.m)/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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