Outlet Diameter of Impeller Using Speed Ratio, Manometric Head and Impeller Speed Calculator

Formula Used:

\[ D_2 = \frac{84.6 \times K_u \times \sqrt{H_m}}{\omega} \]

Outlet Diameter of Impeller (D₂):

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1. What is the Outlet Diameter of Impeller Formula?

The outlet diameter of centrifugal pump impeller formula calculates the diameter at the outlet of the impeller based on speed ratio, manometric head, and angular velocity. This is a key parameter in centrifugal pump design and performance analysis.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ D_2 = \frac{84.6 \times K_u \times \sqrt{H_m}}{\omega} \]

Where:

\( D_2 \) — Outlet diameter of impeller (m)
\( K_u \) — Speed ratio (dimensionless)
\( H_m \) — Manometric head (m)
\( \omega \) — Angular velocity (rpm)

Explanation: The formula relates the outlet diameter to the square root of manometric head and incorporates the speed ratio and angular velocity factors.

3. Importance of Outlet Diameter Calculation

Details: Accurate calculation of outlet diameter is crucial for proper pump design, performance optimization, and ensuring the pump operates efficiently at the required head and flow conditions.

4. Using the Calculator

Tips: Enter speed ratio (typically between 0.8-1.2), manometric head in meters, and angular velocity in rpm. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for speed ratio in centrifugal pumps?
A: Speed ratio typically ranges from 0.8 to 1.2, with most centrifugal pumps operating around 0.9-1.1.

Q2: How does outlet diameter affect pump performance?
A: Larger outlet diameters generally produce higher heads but may reduce flow capacity, while smaller diameters increase flow but reduce head capability.

Q3: What units should be used for angular velocity?
A: Angular velocity should be entered in revolutions per minute (rpm) as required by this formula.

Q4: Can this formula be used for all types of centrifugal pumps?
A: This formula is specifically designed for centrifugal pumps and may need adjustments for mixed-flow or axial-flow pumps.

Q5: How accurate is this calculation method?
A: This provides a good engineering approximation, but actual pump design may require more detailed calculations considering specific speed, efficiency, and other factors.