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 in RPM/60
Q = pi/4*L*(2*dp^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 in RPM - Speed in RPM is the number of turns of the object divided by time, specified as revolutions per minute (rpm).
STEP 1: Convert Input(s) to Base Unit
Length of Stroke: 0.88 Meter --> 0.88 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 in RPM: 100 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = pi/4*L*(2*dp^2-d^2)*N/60 --> pi/4*0.88*(2*0.65^2-0.2^2)*100/60
Evaluating ... ...
Q = 0.927293431584587
STEP 3: Convert Result to Output's Unit
0.927293431584587 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
0.927293431584587 0.927293 Cubic Meter per Second <-- Discharge
(Calculation completed in 00.004 seconds)

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Created by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
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National Institute of Technology (NIT), Tiruchirapalli
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Double Acting Pumps Calculators

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*Head Loss due to Friction in Delivery Pipe)/3+(2*Head Loss due to Friction in Suction Pipe)/3)
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)
Discharge of Double Acting Reciprocating Pump
​ Go Discharge = pi/4*Length of Stroke*(2*Piston Diameter^2-Diameter of Piston Rod^2)*Speed in RPM/60
Discharge of Double Acting Reciprocating Pump neglecting Diameter of Piston Rod
​ Go Discharge = 2*Area of Piston*Length of Stroke*Speed in RPM/60

Discharge of Double Acting Reciprocating Pump Formula

​Go
Discharge = pi/4*Length of Stroke*(2*Piston Diameter^2-Diameter of Piston Rod^2)*Speed in RPM/60
Q = pi/4*L*(2*dp^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 in RPM/60 to calculate the Discharge, Discharge of Double Acting Reciprocating Pump formula is defined as the volumetric flow rate of a double acting reciprocating pump, which is a type of positive displacement pump that uses a piston to move fluid. It measures the pump's ability to transfer fluid, taking into account the piston's movement and the fluid's properties. 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 (dp), Diameter of Piston Rod (d) & Speed in RPM (N) and hit the calculate button. Here is how the Discharge of Double Acting Reciprocating Pump calculation can be explained with given input values -> 0.927293 = pi/4*0.88*(2*0.65^2-0.2^2)*100/60.

FAQ

What is Discharge of Double Acting Reciprocating Pump?
Discharge of Double Acting Reciprocating Pump formula is defined as the volumetric flow rate of a double acting reciprocating pump, which is a type of positive displacement pump that uses a piston to move fluid. It measures the pump's ability to transfer fluid, taking into account the piston's movement and the fluid's properties and is represented as Q = pi/4*L*(2*dp^2-d^2)*N/60 or Discharge = pi/4*Length of Stroke*(2*Piston Diameter^2-Diameter of Piston Rod^2)*Speed in RPM/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 in RPM is the number of turns of the object divided by time, specified as revolutions per minute (rpm).
How to calculate Discharge of Double Acting Reciprocating Pump?
Discharge of Double Acting Reciprocating Pump formula is defined as the volumetric flow rate of a double acting reciprocating pump, which is a type of positive displacement pump that uses a piston to move fluid. It measures the pump's ability to transfer fluid, taking into account the piston's movement and the fluid's properties is calculated using Discharge = pi/4*Length of Stroke*(2*Piston Diameter^2-Diameter of Piston Rod^2)*Speed in RPM/60. To calculate Discharge of Double Acting Reciprocating Pump, you need Length of Stroke (L), Piston Diameter (dp), Diameter of Piston Rod (d) & Speed in RPM (N). With our tool, you need to enter the respective value for Length of Stroke, Piston Diameter, Diameter of Piston Rod & Speed in RPM 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 in RPM. 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 in RPM/60
  • Discharge = Area of Piston*Length of Stroke*Speed in RPM/60
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