Volume of liquid delivered in one revolution of crank- double acting reciprocating pump Calculator

✖Length of stroke is the range of movement of piston.ⓘ Length of stroke [L]			+10% -10%
✖Piston diameter is the value of diameter of a piston of a pump.ⓘ Piston Diameter [d_p]			+10% -10%
✖Diameter of piston rod in meters is denoted by the symbol d.ⓘ Diameter of piston rod [d]			+10% -10%

✖The Volume of Liquid delivered in one revolution of the crank.ⓘ Volume of liquid delivered in one revolution of crank- double acting reciprocating pump [V]

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Formula

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Volume of liquid delivered in one revolution of crank- double acting reciprocating pump

Formula

`"V" = (pi/4)*"L"*((2*("d"_{"p"}^2))-("d"^2))`

Example

`"0.379347m³"=(pi/4)*"0.6m"*((2*(("0.65m")^2))-(("0.2m")^2))`

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Volume of liquid delivered in one revolution of crank- double acting reciprocating pump Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Liquid = (pi/4)*Length of stroke*((2*(Piston Diameter^2))-(Diameter of piston rod^2))
V = (pi/4)*L*((2*(d_p^2))-(d^2))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Volume of Liquid - (Measured in Cubic Meter) - The Volume of Liquid delivered in one revolution of the crank.
Length of stroke - (Measured in Meter) - Length of stroke is the range of movement of piston.
Piston Diameter - (Measured in Meter) - Piston diameter is the value of diameter of a piston of a pump.
Diameter of piston rod - (Measured in Meter) - Diameter of piston rod in meters is denoted by the symbol d.

STEP 1: Convert Input(s) to Base Unit

Length of stroke: 0.6 Meter --> 0.6 Meter No Conversion Required
Piston Diameter: 0.65 Meter --> 0.65 Meter No Conversion Required
Diameter of piston rod: 0.2 Meter --> 0.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (pi/4)*L*((2*(d_p^2))-(d^2)) --> (pi/4)*0.6*((2*(0.65^2))-(0.2^2))

Evaluating ... ...

V = 0.379347312920968

STEP 3: Convert Result to Output's Unit

0.379347312920968 Cubic Meter --> No Conversion Required

FINAL ANSWER

0.379347312920968 ≈ 0.379347 Cubic Meter <-- Volume of Liquid

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Reciprocating Pumps » Double Acting Pumps » Volume of liquid delivered in one revolution of crank- double acting reciprocating pump

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has created this Calculator and 200+ more calculators!

Verified by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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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

Volume of liquid delivered in one revolution of crank- double acting reciprocating pump Formula

Volume of Liquid = (pi/4)*Length of stroke*((2*(Piston Diameter^2))-(Diameter of piston rod^2))
V = (pi/4)*L*((2*(d_p^2))-(d^2))

What are reciprocating pumps?

The reciprocating pump is a positive displacement pump as it sucks and raises the liquid by actually displacing it with a piston/plunger that executes a reciprocating motion in a closely fitting cylinder. The amount of liquid pumped is equal to the volume displaced by the piston.

How to Calculate Volume of liquid delivered in one revolution of crank- double acting reciprocating pump?

Volume of liquid delivered in one revolution of crank- double acting reciprocating pump calculator uses Volume of Liquid = (pi/4)*Length of stroke*((2*(Piston Diameter^2))-(Diameter of piston rod^2)) to calculate the Volume of Liquid, The Volume of liquid delivered in one revolution of crank- double acting reciprocating pump formula is defined as the product of sum of areas of either side of the piston and stroke length. Volume of Liquid is denoted by V symbol.

How to calculate Volume of liquid delivered in one revolution of crank- double acting reciprocating pump using this online calculator? To use this online calculator for Volume of liquid delivered in one revolution of crank- double acting reciprocating pump, enter Length of stroke (L), Piston Diameter (d_p) & Diameter of piston rod (d) and hit the calculate button. Here is how the Volume of liquid delivered in one revolution of crank- double acting reciprocating pump calculation can be explained with given input values -> 0.379347 = (pi/4)*0.6*((2*(0.65^2))-(0.2^2)).

FAQ

What is Volume of liquid delivered in one revolution of crank- double acting reciprocating pump?

The Volume of liquid delivered in one revolution of crank- double acting reciprocating pump formula is defined as the product of sum of areas of either side of the piston and stroke length and is represented as V = (pi/4)*L*((2*(d_p^2))-(d^2)) or Volume of Liquid = (pi/4)*Length of stroke*((2*(Piston Diameter^2))-(Diameter of piston rod^2)). Length of stroke is the range of movement of piston, Piston diameter is the value of diameter of a piston of a pump & Diameter of piston rod in meters is denoted by the symbol d.

How to calculate Volume of liquid delivered in one revolution of crank- double acting reciprocating pump?

The Volume of liquid delivered in one revolution of crank- double acting reciprocating pump formula is defined as the product of sum of areas of either side of the piston and stroke length is calculated using Volume of Liquid = (pi/4)*Length of stroke*((2*(Piston Diameter^2))-(Diameter of piston rod^2)). To calculate Volume of liquid delivered in one revolution of crank- double acting reciprocating pump, you need Length of stroke (L), Piston Diameter (d_p) & Diameter of piston rod (d). With our tool, you need to enter the respective value for Length of stroke, Piston Diameter & Diameter of piston rod and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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