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

Formula Used:

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

Density (ρ):

kg/m³

Acceleration Due to Gravity (g):

m/s²

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 Single Acting Pump?

The work done by a single acting pump accounts for the energy required to move fluid while considering frictional losses in both suction and delivery pipes. This calculation is essential for determining the pump's efficiency and power requirements.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( \rho \) — Density of the fluid (kg/m³)
\( g \) — Acceleration due to gravity (m/s²)
\( A \) — 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 fluid properties, pump geometry, operating speed, and various head losses including friction in both suction and delivery pipes.

3. Importance of Work Calculation

Details: Accurate work calculation is crucial for pump selection, energy efficiency analysis, system design optimization, and determining the power requirements for pump operation.

4. Using the Calculator

Tips: Enter all values in appropriate units. Density and acceleration due to gravity are typically 1000 kg/m³ and 9.8 m/s² for water. Ensure all head measurements are in meters and speed in RPM.

5. Frequently Asked Questions (FAQ)

Q1: Why is friction considered separately for suction and delivery pipes?
A: Friction losses differ between suction and delivery sides due to varying pipe lengths, diameters, and flow conditions, requiring separate calculations.

Q2: What is the significance of the 0.66 factor?
A: The 0.66 factor accounts for the average frictional head loss over the complete pumping cycle in single acting pumps.

Q3: How does pump speed affect the work done?
A: Higher RPM increases the work done proportionally, as more fluid is moved per unit time, but also increases frictional losses.

Q4: What are typical values for head losses?
A: Head losses typically range from 0.5-5 meters depending on pipe length, diameter, roughness, and flow velocity.

Q5: Can this formula be used for other types of pumps?
A: This specific formula is designed for single acting pumps. Other pump types may require different formulas accounting for their specific operating characteristics.