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Two geometrically similar pumps £re running at the same speed of 100 rpm'arid lifting water against the heads of 25 m and 16 m respectively. First pump is having an impeller diameter of 300 mm. The impeller diameter of second pump shall be
  • a)
    192 mm
  • b)
    240 mm
  • c)
    300 mm
  • d)
    469 mm
Correct answer is option 'B'. Can you explain this answer?
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Two geometrically similar pumps £re running at the same speed of...
Equating head coefficients, we get,

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Two geometrically similar pumps £re running at the same speed of...
Two geometrically similar pumps are pumps that have the same shape but are different sizes. They have the same proportions, angles, and ratios between their dimensions. This means that if one pump is scaled up or down, it will still have the same shape as the other pump.

These pumps are often used in engineering applications where it is necessary to design a smaller or larger version of a pump without changing its shape or performance characteristics. For example, a manufacturer may design a small pump for a specific application and then create a larger version of the same pump for a different application by scaling up the dimensions proportionally.

Geometrically similar pumps are also used in fluid mechanics to calculate the performance of a pump based on its size and flow rate. By knowing the dimensions and flow rate of one pump, the performance of a similar pump can be estimated using mathematical formulas that take into account the geometric similarity between the two pumps.
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Two geometrically similar pumps £re running at the same speed of 100 rpm'arid lifting wateragainst the heads of 25 m and 16 m respectively. First pump is having an impeller diameter of 300 mm. The impeller diameter of second pump shall bea)192 mmb)240 mmc)300 mmd)469 mmCorrect answer is option 'B'. Can you explain this answer?
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