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velagapudi ramakrishna siddhartha engineering college (vr siddhartha engineering college), vijayawada
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Work done by reciprocating with air vessels fitted to 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+Head loss due to friction in suction pipe+Head loss due to friction in delivery pipe)
w = ((ρFluid*g*A*L*N)/60)*(hs+hd+hfs+hfd)
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 = ((ρFluid*g*A*L*N)/60)*(hs+hd+hfs+hfd) --> ((10*9.8*0.5*0.5*10)/60)*(5+5+2+3)
Evaluating ... ...
w = 61.25
STEP 3: Convert Result to Output's Unit
61.25 Joule -->0.06125 Kilojoule (Check conversion here)
FINAL ANSWER
0.06125 Kilojoule <-- Work Done
(Calculation completed in 00.031 seconds)

3 Air vessels Calculators

Work done by reciprocating with air vessels fitted to 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+Head loss due to friction in suction pipe+Head loss due to friction in delivery pipe) Go
Rate of flow of liquid into air vessel in terms of stroke length
rate_of_flow = (Area of cylinder*Angular Velocity*(Length of stroke/2))*(sin(Angle between crank and flow rate)-(2/pi)) Go
Rate of flow of liquid into air vessel
rate_of_flow = (Area of cylinder*Angular Velocity*Crank radius)*(sin(Angle between crank and flow rate)-(2/pi)) Go

Work done by reciprocating with air vessels fitted to suction and delivery pipes Formula

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+Head loss due to friction in suction pipe+Head loss due to friction in delivery pipe)
w = ((ρFluid*g*A*L*N)/60)*(hs+hd+hfs+hfd)

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 with air vessels fitted to suction and delivery pipes?

Work done by reciprocating with air vessels fitted to 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+Head loss due to friction in suction pipe+Head loss due to friction in delivery pipe) to calculate the Work Done, The Work done by reciprocating 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 Done is denoted by w symbol.

How to calculate Work done by reciprocating with air vessels fitted to suction and delivery pipes using this online calculator? To use this online calculator for Work done by reciprocating with air vessels fitted to suction and delivery pipes, enter Density of Fluid Fluid), Acceleration Due To Gravity (g), 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 reciprocating with air vessels fitted to suction and delivery pipes calculation can be explained with given input values -> 0.06125 = ((10*9.8*0.5*0.5*10)/60)*(5+5+2+3).

FAQ

What is Work done by reciprocating with air vessels fitted to suction and delivery pipes?
The Work done by reciprocating 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 = ((ρFluid*g*A*L*N)/60)*(hs+hd+hfs+hfd) 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+Head loss due to friction in suction pipe+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 reciprocating with air vessels fitted to suction and delivery pipes?
The Work done by reciprocating 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_done = ((Density of Fluid*Acceleration Due To Gravity*Area of cylinder*Length of stroke*Speed in r.p.m)/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 with air vessels fitted to suction and delivery pipes, you need Density of Fluid Fluid), Acceleration Due To Gravity (g), 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, 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 -
  • rate_of_flow = (Area of cylinder*Angular Velocity*Crank radius)*(sin(Angle between crank and flow rate)-(2/pi))
  • rate_of_flow = (Area of cylinder*Angular Velocity*(Length of stroke/2))*(sin(Angle between crank and flow rate)-(2/pi))
  • 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+Head loss due to friction in suction pipe+Head loss due to friction in delivery pipe)
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