Tangential Velocity Given Speed Ratio Calculator

Formula Used:

\[ u_2 = K_u \times \sqrt{2 \times [g] \times H_m} \]

Tangential Velocity of Impeller at Outlet (u₂):

m/s

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Tangential Velocity Given Speed Ratio?

The tangential velocity of impeller at outlet is the velocity of the impeller at the fluid outlet in centrifugal pumps. It is calculated using the speed ratio, which is the ratio of the peripheral speed of impeller at exit to the theoretical velocity of the jet corresponding to manometric head.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ u_2 = K_u \times \sqrt{2 \times [g] \times H_m} \]

Where:

\( u_2 \) — Tangential Velocity of Impeller at Outlet (m/s)
\( K_u \) — Speed Ratio Centrifugal Pump
\( [g] \) — Gravitational acceleration (9.80665 m/s²)
\( H_m \) — Manometric Head of Centrifugal Pump (m)

Explanation: This formula calculates the tangential velocity at the impeller outlet based on the speed ratio and the manometric head against which the centrifugal pump operates.

3. Importance of Tangential Velocity Calculation

Details: Accurate calculation of tangential velocity is crucial for centrifugal pump design, performance analysis, and efficiency optimization. It helps in determining the energy transfer from impeller to fluid and affects the pump's overall performance characteristics.

4. Using the Calculator

Tips: Enter the speed ratio (K_u) and manometric head (H_m) in meters. Both values must be positive numbers. The calculator will compute the tangential velocity at the impeller outlet in meters per second.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for speed ratio in centrifugal pumps?
A: The speed ratio (K_u) typically ranges from 0.8 to 1.2 for most centrifugal pump applications, depending on the specific design and operating conditions.

Q2: How does tangential velocity affect pump performance?
A: Tangential velocity directly influences the energy transfer from the impeller to the fluid. Higher tangential velocities generally result in higher head generation but may affect efficiency and cavitation characteristics.

Q3: What factors influence the speed ratio?
A: The speed ratio is influenced by impeller design, specific speed, operating conditions, and the desired performance characteristics of the centrifugal pump.

Q4: Can this formula be used for all types of centrifugal pumps?
A: This formula is generally applicable to radial flow centrifugal pumps. For mixed flow or axial flow pumps, different relationships may be more appropriate.

Q5: How accurate is this calculation for practical applications?
A: This calculation provides a theoretical value that serves as a good approximation for preliminary design and analysis. For precise engineering applications, additional factors such as hydraulic losses and specific pump characteristics should be considered.