Wilkinson's Steam Turbine: Rotor Rim-speed Comparison

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Two entered rotor diameters are compared at one entered rotational speed. Their rim speeds scale directly with diameter, while angular speed is common.

Wilkinson's Steam Turbine Interactive Calculator

Enter two diameters and one RPM. Results are kinematic rim-speed comparisons only—not turbine thermodynamics, blade loading or safe-speed limits.

0°

Reference rim speed
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Comparison rim speed
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Shared angular speed
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Relative rim-speed difference
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Equation Used

omega=2 pi N/60; v=pi D N/60; v2=pi D2 N/60; gain=100(v2/v-1).
Both diameters share the entered RPM. Tip gain therefore depends only on D2/D. No steam-state or structural quantity is used.
  • Both rotors are rigid and share the entered RPM.
  • Diameter is the circular path diameter used for rim speed.
  • Tip gain is relative to the first diameter.
  • No steam flow, pressure, efficiency or power is modeled.
  • Centrifugal stress, vibration, balance, materials and safety are omitted.
Same mechanism and inputs as the interactive calculator.

Shared-RPM Rim-Speed Comparison

Use the comparison to see how diameter changes rim speed at a fixed RPM. Steam flow, power and efficiency require additional information and are not calculated here.

What This Calculator Represents

Two circular path speeds at a common RPM.

Rim-Speed comparison

omega=2piN/60
v=omegaD/2
gain=100(v2/v-1)

Worked Scenario

At 8,000 rpm, 150 mm and 250 mm paths have rim speeds about 62.8 and 104.7 m/s; the larger is 66.7% higher.

Assumptions and Limits

No steam thermodynamics, power, efficiency, blade loading, stress or safe-speed analysis is included.

Frequently Asked Questions

Is this turbine power?

No.

Is RPM predicted?

No.

Does diameter change angular speed?

Not here.

Is tip gain an efficiency gain?

No.

Are stresses checked?

No.

Can this approve a rotor?

No.

References

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