1. What is Tangential Velocity of Impeller at Inlet?

The Tangential Velocity of Impeller at Inlet (u₁) represents the linear velocity at the inlet edge of a pump impeller due to its rotational motion. It is a crucial parameter in centrifugal pump design and analysis, affecting the energy transfer and performance characteristics of the pump.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( u_1 \) — Tangential velocity of impeller at inlet (m/s)
• \( \omega \) — Angular velocity (rad/s)
• \( R_1 \) — Radius of impeller at inlet (m)

Explanation: The tangential velocity is calculated by multiplying the angular velocity (rotational speed) by the radius at the inlet point of the impeller.

3. Importance of Tangential Velocity Calculation

Details: Accurate calculation of tangential velocity is essential for determining pump performance characteristics, including head development, efficiency, and cavitation properties. It forms the basis for Euler's pump equation and helps in understanding the energy transfer process in centrifugal pumps.

4. Using the Calculator

Tips: Enter angular velocity in radians per second and radius in meters. Both values must be positive numbers. The calculator will compute the tangential velocity at the impeller inlet.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between tangential velocity and angular velocity?
A: Angular velocity (ω) measures rotational speed in radians per second, while tangential velocity (u) is the linear speed at a specific radius from the center of rotation.

Q2: How does impeller inlet radius affect tangential velocity?
A: For a given angular velocity, tangential velocity increases proportionally with the radius. Larger impellers will have higher tangential velocities at the same rotational speed.

Q3: Why is tangential velocity important in pump design?
A: Tangential velocity directly influences the energy transfer from the impeller to the fluid, affecting the pump's head generation and overall performance characteristics.

Q4: Can this formula be used for any rotational system?
A: Yes, this fundamental relationship applies to any rotating object where you need to find the linear velocity at a specific radius from the axis of rotation.

Q5: What units should be used for accurate calculations?
A: Use consistent SI units: angular velocity in rad/s, radius in meters, which will give tangential velocity in m/s.