Work Done Per Second When Flow At Inlet Is Not Radial Calculator

Formula Used:

\[ W = \frac{W_l}{g} \times (V_{w2} \times u_2 - V_{w1} \times u_1) \]

Weight of Liquid in Pump (Wl):

Velocity of Whirl at Outlet (Vw2):

m/s

Tangential Velocity of Impeller at Outlet (u2):

m/s

Velocity of Whirl at Inlet (Vw1):

m/s

Tangential Velocity of Impeller at Inlet (u1):

m/s

Work Done by Pump Per Second (W):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Work Done Per Second When Flow At Inlet Is Not Radial?

This calculation determines the work done per second by a centrifugal pump when the flow at the inlet is not radial. It accounts for the energy transfer between the impeller and the fluid, considering both inlet and outlet conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ W = \frac{W_l}{g} \times (V_{w2} \times u_2 - V_{w1} \times u_1) \]

Where:

\( W \) — Work done by pump per second (J)
\( W_l \) — Weight of liquid in pump (N)
\( g \) — Gravitational acceleration (9.80665 m/s²)
\( V_{w2} \) — Velocity of whirl at outlet (m/s)
\( u_2 \) — Tangential velocity of impeller at outlet (m/s)
\( V_{w1} \) — Velocity of whirl at inlet (m/s)
\( u_1 \) — Tangential velocity of impeller at inlet (m/s)

Explanation: The formula calculates the energy transfer based on the difference between the outlet and inlet momentum components of the fluid.

3. Importance of Work Done Calculation

Details: Accurate calculation of work done per second is crucial for determining pump efficiency, power requirements, and proper pump selection for specific applications.

4. Using the Calculator

Tips: Enter all values in appropriate units (N for weight, m/s for velocities). Ensure all values are positive and valid for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What does "flow at inlet is not radial" mean?
A: It means that the fluid enters the impeller with some pre-rotation or whirl component, rather than entering purely radially.

Q2: Why is gravitational acceleration included in the formula?
A: The weight term (Wl) is a force, and dividing by g converts it to mass, which is needed for momentum calculations.

Q3: What are typical values for whirl velocities?
A: Whirl velocities depend on impeller design and operating conditions, typically ranging from 0-30 m/s for centrifugal pumps.

Q4: How does this differ from radial flow inlet calculations?
A: For radial flow inlet, Vw1 is zero, simplifying the formula to W = (Wl/g) × (Vw2 × u2).

Q5: What applications use this calculation?
A: This is used in pump design, performance analysis, and troubleshooting for various industrial and commercial pumping systems.