Impeller Outlet Diameter Calculator

Formula Used:

\[ \text{Impeller Tip Diameter} = \frac{60 \times \text{Tip Velocity}}{\pi \times \text{RPM}} \] \[ D_t = \frac{60 \times U_t}{\pi \times N} \]

Impeller Tip Diameter:

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1. What Is The Impeller Tip Diameter Formula?

The Impeller Tip Diameter formula calculates the diameter at the tip of an impeller based on tip velocity and rotational speed. It is essential in fluid dynamics and mechanical engineering for designing and analyzing turbomachinery.

2. How Does The Calculator Work?

The calculator uses the formula:

\[ D_t = \frac{60 \times U_t}{\pi \times N} \]

Where:

\( D_t \) — Impeller Tip Diameter (m)
\( U_t \) — Tip Velocity (m/s)
\( N \) — Rotational Speed (rpm)
\( \pi \) — Archimedes' constant (≈3.14159)

Explanation: The formula converts rotational speed from rpm to revolutions per second and uses the relationship between linear velocity, angular velocity, and radius to determine the tip diameter.

3. Importance Of Impeller Tip Diameter Calculation

Details: Accurate calculation of impeller tip diameter is crucial for designing efficient pumps, compressors, and turbines. It affects performance characteristics such as flow rate, pressure rise, and efficiency.

4. Using The Calculator

Tips: Enter tip velocity in meters per second and rotational speed in revolutions per minute. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why is the constant 60 used in the formula?
A: The constant 60 converts rotational speed from revolutions per minute (rpm) to revolutions per second, as tip velocity is typically in m/s.

Q2: What are typical values for impeller tip diameters?
A: Impeller tip diameters vary widely depending on application, ranging from a few centimeters in small pumps to several meters in large turbines.

Q3: How does tip diameter affect pump performance?
A: Larger tip diameters generally produce higher pressures and flow rates but may require more power and have different efficiency characteristics.

Q4: Can this formula be used for all types of impellers?
A: This formula is generally applicable to radial and mixed-flow impellers where tip velocity is meaningful. Special considerations may be needed for axial flow designs.

Q5: What units should be used for accurate results?
A: For consistent results, use meters per second for tip velocity and revolutions per minute for rotational speed. The result will be in meters.