Work Done By Double-acting Pump Considering All Head Losses Calculator

Formula Used:

\[ W = \frac{2 \times SW \times A \times L \times N}{60} \times \left( h_s + h_{del} + \frac{2}{3}h_{fd} + \frac{2}{3}h_{fs} \right) \]

Specific Weight (SW):

N/m³

Area of Cylinder (A):

m²

Length of Stroke (L):

Speed in RPM (N):

RPM

Suction Head (hₛ):

Delivery Head (h_del):

Head Loss in Delivery Pipe (h_fd):

Head Loss in Suction Pipe (h_fs):

Work Done (W):

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1. What is Work Done by Double-acting Pump?

The work done by a double-acting pump considering all head losses represents the total energy required to move fluid through the pump system, accounting for various friction and elevation losses in both suction and delivery pipes.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ W = \frac{2 \times SW \times A \times L \times N}{60} \times \left( h_s + h_{del} + \frac{2}{3}h_{fd} + \frac{2}{3}h_{fs} \right) \]

Where:

\( W \) — Work done (Joules)
\( SW \) — Specific weight of fluid (N/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)
\( h_{fd} \) — Head loss due to friction in delivery pipe (m)
\( h_{fs} \) — Head loss due to friction in suction pipe (m)

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

3. Importance of Calculating Work Done

Details: Accurate calculation of work done is crucial for determining pump efficiency, energy consumption, and proper system design. It helps in selecting appropriate pump motors and optimizing system performance.

4. Using the Calculator

Tips: Enter all values in appropriate units. Specific weight should be in N/m³, areas in m², lengths in m, and heads in m. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why use 2/3 factor for friction head losses?
A: The 2/3 factor accounts for the average friction loss over the complete pumping cycle in double-acting pumps.

Q2: What is specific weight of a fluid?
A: Specific weight is the weight per unit volume of a fluid, calculated as density multiplied by gravitational acceleration (γ = ρg).

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

Q4: What are typical values for friction head losses?
A: Friction losses depend on pipe material, diameter, length, flow velocity, and fluid properties. They are typically calculated using Darcy-Weisbach or Hazen-Williams equations.

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 formulas and considerations.