Work Done By Double Acting Pump Due To Friction In Suction And Delivery Pipes Calculator

Formula Used:

\[ W = \frac{2 \cdot \rho \cdot A \cdot L \cdot N}{60} \cdot (h_s + h_{del} + 0.66 \cdot h_{fs} + 0.66 \cdot h_{fd}) \]

Density (ρ):

kg/m³

Area of Cylinder (A):

m²

Length of Stroke (L):

Speed in RPM (N):

RPM

Suction Head (hₛ):

Delivery Head (h_del):

Head Loss due to Friction in Suction Pipe (h_fs):

Head Loss due to Friction in Delivery Pipe (h_fd):

Work Done (W):

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1. What is Work Done by Double Acting Pump?

Work done by a double acting pump refers to the energy expended by the pump to move fluid, accounting for friction losses in both suction and delivery pipes. This calculation is essential for determining pump efficiency and energy requirements.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ W = \frac{2 \cdot \rho \cdot A \cdot L \cdot N}{60} \cdot (h_s + h_{del} + 0.66 \cdot h_{fs} + 0.66 \cdot h_{fd}) \]

Where:

\( W \) — Work done (Joules)
\( \rho \) — Density of the fluid (kg/m³)
\( A \) — Area of cylinder (m²)
\( L \) — Length of stroke (m)
\( N \) — Speed in RPM
\( h_s \) — Suction head (m)
\( h_{del} \) — Delivery head (m)
\( h_{fs} \) — Head loss due to friction in suction pipe (m)
\( h_{fd} \) — Head loss due to friction in delivery pipe (m)

Explanation: The formula calculates the work done by considering the pump's mechanical parameters and accounting for energy losses due to friction in both suction and delivery pipelines.

3. Importance of Work Calculation

Details: Accurate work calculation is crucial for pump selection, energy consumption estimation, system efficiency analysis, and proper pump sizing for specific applications.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. Ensure density, area, length, and speed values are positive. Head values should be measured in meters.

5. Frequently Asked Questions (FAQ)

Q1: Why is the factor 0.66 used for friction losses?
A: The 0.66 factor accounts for the proportional distribution of friction losses between suction and delivery in double acting pumps.

Q2: What units should be used for input values?
A: Use kg/m³ for density, m² for area, m for length and head values, and RPM for speed. The result is in Joules.

Q3: How does double acting differ from single acting pumps?
A: Double acting pumps deliver fluid during both forward and return strokes, while single acting pumps only deliver during one stroke direction.

Q4: What affects friction losses in pipes?
A: Friction losses depend on pipe material, diameter, length, fluid viscosity, and flow velocity.

Q5: Can this calculator be used for other pump types?
A: This specific formula is designed for double acting pumps. Other pump types may require different calculations.