Work Done Per Second Per Unit Weight Of Liquid Calculator

Formula Used:

\[ Work\ Done\ by\ Centrifugal\ Pump = \frac{Velocity\ of\ Whirl\ at\ Outlet \times Tangential\ Velocity\ of\ Impeller\ at\ Outlet}{[g]} \] \[ W_{cp} = \frac{V_{w2} \times u_2}{[g]} \]

Work Done by Centrifugal Pump (Wcp):

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1. What is Work Done by Centrifugal Pump?

Work Done by Centrifugal Pump per Second per Unit Weight of the liquid is the amount of unit work done by the pump. It represents the energy transferred to the fluid per unit weight per second.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ W_{cp} = \frac{V_{w2} \times u_2}{[g]} \]

Where:

\( W_{cp} \) — Work Done by Centrifugal Pump (J)
\( V_{w2} \) — Velocity of Whirl at Outlet (m/s)
\( u_2 \) — Tangential Velocity of Impeller at Outlet (m/s)
\( [g] \) — Gravitational acceleration constant (9.80665 m/s²)

Explanation: This formula calculates the work done per second per unit weight of liquid by considering the tangential components of velocity at the impeller outlet.

3. Importance of Work Done Calculation

Details: Calculating work done by centrifugal pumps is essential for determining pump efficiency, energy consumption, and proper pump selection for specific applications in fluid systems.

4. Using the Calculator

Tips: Enter Velocity of Whirl at Outlet and Tangential Velocity of Impeller at Outlet in meters per second. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is Velocity of Whirl at Outlet?
A: Velocity of Whirl at Outlet is the tangential component of absolute velocity at the blade outlet of the centrifugal pump.

Q2: What is Tangential Velocity of Impeller at Outlet?
A: Tangential Velocity of Impeller at Outlet is the velocity of the impeller at the fluid outlet point.

Q3: Why is gravitational acceleration used in the formula?
A: The gravitational acceleration constant is used to convert the work done to per unit weight basis, making the result independent of the fluid's specific weight.

Q4: What are typical units for this calculation?
A: The result is typically expressed in joules (J), representing work done per second per unit weight of liquid.

Q5: How does this relate to pump efficiency?
A: The work done calculation helps determine the actual work transferred to the fluid, which can be compared to the input power to calculate pump efficiency.