After a disassembly of a single stage...

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Question 1 of 205eccef9bbacbc34ba4d45498

After a disassembly of a single stage centrifugal pump, one finds the outer circumference of the impeller badly pitted and worn. Not having a spare impeller on board, it is decided to turn down the impeller to eliminate the wear/pitting. What will be the pump capacity, in GPM, after the reduction of impeller diameter by 0.5 inches? GIVEN: Original pump capacity = 30 GPM Original impeller diameter = 8 in.

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🔍 Key Concepts

• Centrifugal pump affinity laws for changes in impeller diameter • How capacity (flow rate) of a centrifugal pump varies with impeller diameter when speed stays the same • Setting up a ratio between original and new conditions

💭 Think About

• How does pump capacity (GPM) change when impeller diameter is reduced but speed remains constant? Is it a linear, squared, or cubed relationship? • If the original diameter is 8 in and you reduce the diameter by 0.5 in, what is the new diameter, and how can you relate old and new capacities using a proportion? • Once you find the proportional change in diameter, how do you apply that factor to the original 30 GPM to estimate the new capacity?

✅ Before You Answer

• Confirm which affinity law applies: for constant speed, Q (capacity) ∝ D, H ∝ D², P ∝ D³ or some other form? • Compute the new diameter correctly: subtract the reduction from the original diameter before using it in any ratio. • When you compute the new capacity, check that the result is less than 30 GPM but not drastically smaller, matching one of the choices.

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