Discharge Of Double Acting Reciprocating Pump Calculator

Formula Used:

\[ Q = \frac{\pi}{4} \times L \times \left(2 \times dp^2 - d^2\right) \times \frac{N}{60} \]

Length of Stroke (L):

Piston Diameter (dp):

Diameter of Piston Rod (d):

Speed (N):

rpm

Discharge (Q):

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1. What is the Double Acting Reciprocating Pump Discharge Formula?

The discharge formula for a double acting reciprocating pump calculates the volumetric flow rate of fluid being pumped. It accounts for the pump's mechanical dimensions and operating speed to determine the theoretical discharge capacity.

2. How Does the Calculator Work?

The calculator uses the discharge formula:

\[ Q = \frac{\pi}{4} \times L \times \left(2 \times dp^2 - d^2\right) \times \frac{N}{60} \]

Where:

\( Q \) — Discharge rate (m³/s)
\( L \) — Length of stroke (m)
\( dp \) — Piston diameter (m)
\( d \) — Diameter of piston rod (m)
\( N \) — Speed (rpm)
\( \pi \) — Mathematical constant pi (approximately 3.1416)

Explanation: The formula calculates the theoretical discharge by considering the swept volume per revolution and the pump speed, accounting for both sides of the piston action in a double acting pump.

3. Importance of Discharge Calculation

Details: Accurate discharge calculation is essential for pump selection, system design, performance evaluation, and ensuring proper fluid delivery in various industrial and mechanical applications.

4. Using the Calculator

Tips: Enter all dimensions in meters, speed in rpm. Ensure piston diameter is greater than rod diameter for valid calculation. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a double acting reciprocating pump?
A: A pump where the piston pumps fluid during both forward and backward strokes, providing more continuous flow than single acting pumps.

Q2: Why is the rod diameter subtracted in the formula?
A: The rod occupies space on one side of the piston, reducing the effective pumping area on that stroke.

Q3: Is this the actual or theoretical discharge?
A: This calculates theoretical discharge. Actual discharge may be less due to factors like slippage, leakage, and fluid compressibility.

Q4: What are typical applications of these pumps?
A: Used in high pressure applications, hydraulic systems, oil and gas industry, and where precise fluid metering is required.

Q5: How does speed affect the discharge?
A: Discharge is directly proportional to speed - doubling the speed doubles the discharge, within mechanical limits.