Work done by single acting pump due to acceleration and friction in suction and delivery pipes Calculator

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Physics	Fluid Mechanics ↺

✖Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.ⓘ Density of Fluid [ρ_Fluid]			+10% -10%
✖The 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%
✖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.ⓘ Speed in r.p.m [N]			+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_d]			+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 done by/on a system is energy transferred by/to the system to/from its surroundings.ⓘ Work done by single acting pump due to acceleration and friction in suction and delivery pipes [w]

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Shareef Alex

velagapudi ramakrishna siddhartha engineering college (vr siddhartha engineering college), vijayawada

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Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
w = ((ρ_Fluid*g*A*L*N)/60)*(h_s+h_d+0.66*h_fs+0.66*h_fd)
This formula uses 9 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)
Acceleration Due To Gravity - The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force. (Measured in Meter per Square Second)
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
Acceleration Due To Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second 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 = ((ρ_Fluid*g*A*L*N)/60)*(h_s+h_d+0.66*h_fs+0.66*h_fd) --> ((10*9.8*0.5*0.5*10)/60)*(5+5+0.66*2+0.66*3)

Evaluating ... ...

w = 54.3083333333333

STEP 3: Convert Result to Output's Unit

54.3083333333333 Joule -->0.0543083333333333 Kilojoule (Check conversion here)

FINAL ANSWER

0.0543083333333333 Kilojoule <-- Work Done

(Calculation completed in 00.031 seconds)

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Work done by single 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

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 single acting pump due to acceleration and friction in suction and delivery pipes Formula

What is single-acting pump?

Single-acting reciprocating pump consists of a piston of which only one side engages the fluid being displaced. The simplest example would be a syringe. Double-acting reciprocating pump engage with both sides of the piston, each stroke of the piston carries out both suction and expulsion at the same time.

What is the function of single-acting cylinder?

A single-acting cylinder in a reciprocating engine is a cylinder in which the working fluid acts on one side of the piston only. A single-acting cylinder relies on the load, springs, other cylinders, or the momentum of a flywheel, to push the piston back in the other direction.

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

Work done by single acting pump due to acceleration and friction in suction and delivery pipes calculator uses 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) to calculate the Work Done, The Work done by single acting pump due to acceleration and friction in 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 Done is denoted by w symbol.

How to calculate Work done by single 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 single acting pump due to acceleration and friction in suction and delivery pipes, enter Density of Fluid (ρ_Fluid), Acceleration Due To Gravity (g), Area of cylinder (A), Length of stroke (L), Speed in r.p.m (N), Suction head (h_s), Delivery head (h_d), 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 single acting pump due to acceleration and friction in suction and delivery pipes calculation can be explained with given input values -> 0.054308 = ((10*9.8*0.5*0.5*10)/60)*(5+5+0.66*2+0.66*3).

FAQ

What is Work done by single acting pump due to acceleration and friction in suction and delivery pipes?

The Work done by single acting pump due to acceleration and friction in 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_Fluid*g*A*L*N)/60)*(h_s+h_d+0.66*h_fs+0.66*h_fd) or 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). Density of Fluid is defined as the mass of fluid per unit volume of the said fluid, The 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, 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 single acting pump due to acceleration and friction in suction and delivery pipes?

The Work done by single acting pump due to acceleration and friction in 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_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). To calculate Work done by single acting pump due to acceleration and friction in suction and delivery pipes, you need Density of Fluid (ρ_Fluid), Acceleration Due To Gravity (g), Area of cylinder (A), Length of stroke (L), Speed in r.p.m (N), Suction head (h_s), Delivery head (h_d), 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 of Fluid, Acceleration Due To Gravity, 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, Acceleration Due To Gravity, 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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