1. What is the Impeller Radius at Outlet Formula?

The formula calculates the radius of the impeller at the outlet of a pump based on the tangential velocity at the outlet and the angular velocity of the impeller. This is fundamental in centrifugal pump design and analysis.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( R2 \) — Radius of Impeller at Outlet (m)
• \( u2 \) — Tangential Velocity of Impeller at Outlet (m/s)
• \( \omega \) — Angular Velocity (rad/s)

Explanation: The formula relates the linear velocity at the impeller outlet to the rotational speed and the radius of the impeller.

3. Importance of Impeller Radius Calculation

Details: Accurate calculation of impeller radius is crucial for pump design, performance analysis, and ensuring optimal fluid flow characteristics in centrifugal pumps.

4. Using the Calculator

Tips: Enter tangential velocity in m/s and angular velocity in rad/s. Both values must be positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is tangential velocity in a pump impeller?
A: Tangential velocity is the linear speed of a point on the impeller at the outlet, perpendicular to the radius.

Q2: How is angular velocity measured?
A: Angular velocity is typically measured in radians per second and represents the rate of rotation of the impeller.

Q3: Why is impeller radius important in pump design?
A: Impeller radius affects the pump's head, flow rate, and efficiency. Larger radii generally produce higher heads.

Q4: Can this formula be used for any type of pump?
A: This formula is specifically for centrifugal pumps where the impeller rotates and imparts energy to the fluid.

Q5: What are typical values for impeller radius?
A: Impeller radii vary widely depending on pump size and application, ranging from a few centimeters to over a meter in large industrial pumps.