Discharge of 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%
✖Speed of a machine/body in rpm.ⓘ Speed [N]			+10% -10%

✖Discharge is the rate of flow of a liquid.ⓘ Discharge of Double Acting Reciprocating Pump [Q]

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Formula

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Discharge of Double Acting Reciprocating Pump

Formula

`"Q" = (pi/4)*"L"*((2*("d"_{"p"}^2))-("d"^2))*("N"/60)`

Example

`"0.632246m³/s"=(pi/4)*"0.6m"*((2*(("0.65m")^2))-(("0.2m")^2))*("100"/60)`

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Discharge of Double Acting Reciprocating Pump Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge = (pi/4)*Length of stroke*((2*(Piston Diameter^2))-(Diameter of piston rod^2))*(Speed/60)
Q = (pi/4)*L*((2*(d_p^2))-(d^2))*(N/60)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
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.
Speed - Speed of a machine/body in rpm.

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
Speed: 100 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = (pi/4)*L*((2*(d_p^2))-(d^2))*(N/60) --> (pi/4)*0.6*((2*(0.65^2))-(0.2^2))*(100/60)

Evaluating ... ...

Q = 0.632245521534946

STEP 3: Convert Result to Output's Unit

0.632245521534946 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.632245521534946 ≈ 0.632246 Cubic Meter per Second <-- Discharge

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Reciprocating Pumps » Double Acting Pumps » Discharge of 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

Discharge of Double Acting Reciprocating Pump Formula

Discharge = (pi/4)*Length of stroke*((2*(Piston Diameter^2))-(Diameter of piston rod^2))*(Speed/60)
Q = (pi/4)*L*((2*(d_p^2))-(d^2))*(N/60)

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 Discharge of Double Acting Reciprocating Pump?

Discharge of Double Acting Reciprocating Pump calculator uses Discharge = (pi/4)*Length of stroke*((2*(Piston Diameter^2))-(Diameter of piston rod^2))*(Speed/60) to calculate the Discharge, The Discharge of Double Acting Reciprocating Pump formula is defined as the product of the sum of areas of either side of the piston, stroke length, and speed(rpm). Discharge is denoted by Q symbol.

How to calculate Discharge of Double Acting Reciprocating Pump using this online calculator? To use this online calculator for Discharge of Double Acting Reciprocating Pump, enter Length of stroke (L), Piston Diameter (d_p), Diameter of piston rod (d) & Speed (N) and hit the calculate button. Here is how the Discharge of Double Acting Reciprocating Pump calculation can be explained with given input values -> 0.632246 = (pi/4)*0.6*((2*(0.65^2))-(0.2^2))*(100/60).

FAQ

What is Discharge of Double Acting Reciprocating Pump?

The Discharge of Double Acting Reciprocating Pump formula is defined as the product of the sum of areas of either side of the piston, stroke length, and speed(rpm) and is represented as Q = (pi/4)*L*((2*(d_p^2))-(d^2))*(N/60) or Discharge = (pi/4)*Length of stroke*((2*(Piston Diameter^2))-(Diameter of piston rod^2))*(Speed/60). 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 & Speed of a machine/body in rpm.

How to calculate Discharge of Double Acting Reciprocating Pump?

The Discharge of Double Acting Reciprocating Pump formula is defined as the product of the sum of areas of either side of the piston, stroke length, and speed(rpm) is calculated using Discharge = (pi/4)*Length of stroke*((2*(Piston Diameter^2))-(Diameter of piston rod^2))*(Speed/60). To calculate Discharge of Double Acting Reciprocating Pump, you need Length of stroke (L), Piston Diameter (d_p), Diameter of piston rod (d) & Speed (N). With our tool, you need to enter the respective value for Length of stroke, Piston Diameter, Diameter of piston rod & Speed 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 Discharge?

In this formula, Discharge uses Length of stroke, Piston Diameter, Diameter of piston rod & Speed. We can use 2 other way(s) to calculate the same, which is/are as follows -

Discharge = 2*Area of Piston*Length of stroke*Speed/60
Discharge = Area of Piston*Length of stroke*Speed/60

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